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Kigami Jun  木上 淳

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… Alternative Names

KIGAMI Jun  木上 淳

木上 淳  キガミ ジュン

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Researcher Number 90202035
Other IDs
Affiliation (Current) 2025: 京都大学, 情報学研究科, 教授
Affiliation (based on the past Project Information) *help 2002 – 2024: 京都大学, 情報学研究科, 教授
2013: 京都大学, 大学院情報学研究科, 教授
2010: 京都大学, 大学院・情報学研究科, 教授
2008: 京都大学, 大学院・情報学研究科, 教授
2008: 京都大学, 情報科学研究科, 教授 … More
2001: 京都大学, 大学院・情報学研究科, 教授
1998 – 2000: 京都大学, 情報学研究科, 教授
1999: 京都大学, 大学院・情報学研究科, 教授
1998: 京都大学, 大学院人間・環境学研究科, 助教授
1997 – 1998: 京都大学, 大学院・人間・環境学研究科, 助教授
1997: 京都大学, 大学院・人間学・環境研究科, 助教授
1995: 京都大学, 大学院・人間、環境学研究科, 助教授
1995: 京都大学, 大学院・人間環境学研究科, 助教授
1994 – 1995: 京都大学, 大学院・人間・環境学研究科, 助教授
1993: 大阪大学, 教養部, 講師
1991: 大阪大学, 数養部, 講師 Less
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12010:Basic analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Global analysis / Global analysis / 解析学
Except Principal Investigator
Basic analysis / 解析学 / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Medium-sized Section 12:Analysis, applied mathematics, and related fields
Keywords
Principal Investigator
フラクタル / ラプラシアン / 熱核 / 自己相似集合 / 解析学 / 拡散過程 / 力学系 / Dirichlet form / タイリング / 距離空間 … More / 確率論 / スペクトル / Fractal / heat kernel / Laplacian / 調和関数 / ジュリア集合 / 複素力学系 / 確率過程 / 固有値 / 重み / 分割 / ソボレフ空間 / グラフ近似 / 空間の分割 / 等角次元 / Harnack 不等式 / tiling / energy measure / harmonic function / percolation / self-similar set / heat kerenl / 調和解析 / エネルギー測度 / パーコレーション / Tiling / Self-similar set / Dynamical System / 複素力学 / asymptotic behavior / diffusion / self-similar sets / fractals / 自己相似 / 熱方程式 / 漸近挙動 / quaisymmetry / tree / Dirichlet From / 測度論的リーマン構造 / volume doubling property / quasisymmetry / partition / 測度・距離空間 / 測度論リーマン構造 / jump process / Martin境界 / percolation cluster / Cantor set / Tree / random walk / ランダムウォーク / Dirichlet形式 / 測地線 / リーマン計量 / 多変数複素力学系 / 固有関数 … More
Except Principal Investigator
確率論 / 解析学 / フラクタル / 熱核 / 数理物理 / 複雑系 / 拡散過程 / 統計力学 / 平均曲率流 / グラフ / 調和 / ポテンシャル / 国際研究者交流 / 飛躍型確率過程 / 確率過程 / ポテンシャル論 / Besov space / Heat kernel / ベソフ空間 / 幾何学 / ネットワーク / 容量 / 熱方程式 / 放物型ハルナック不等式 / Sierpinski carpet / Harnack原理 / 境界Harnack原理 / Harnack不等式 / Riemann面 / スペクトル / ラプラシアン / 自己相似集合 / 非線形変分問題 / 距離空間 / レブナ-方程式 / 正値解 / 非線形 / 変分問題 / リーマン多様体 / 偏微分方程式 / 函数論 / ポテンシャル解析 / 負曲率多様体 / カントール集合 / 楕円型境界値問題 / エネルギー / 完備リーマン多様体 / 大域的可積分性 / 容量的幅 / Dirichlet最小固有値 / 複雑領域 / 理想境界 / 非線形PDE / Homogenization / Jump-type stochastic process / Parabolic Harnack inequality / Nash Inequality / Disordered media / 無限次元空間 / ソボレフ空間 / ホモジナイゼーション / ナッシュ不等式 / 複雑な系 / Limit theorem / Hausdorff dimension / Multi-fractal / Stochastic Process / Diffusion Process / Fractal / ランダムウォーク / 固有値分布 / 極限定理 / ハウスドルフ次元 / マルチフラクタル / saddle method / spectre / Ruelle operator / Gevrey order / Huyghens principle / smoothing effect / Egorov type / Hypoellipticity / 固有値 / 自己相似 / サドル法 / 吸引領域 / Banach scale / 退化楕円型 / ガウス算術平均 / 不動点 / 再生関数 / Navies-Stokes / Wick calculus. / Gevrey class / 擬微分作用素 / 準惰性円 / 鞍部点法 / Ruelle作用素 / Gevrey指数 / ホイヘンス原理 / 平滑化効果 / Egorov型 / 準楕円性 / zeta functions / quantum groups / Hecke algebras / Spherical functions / Lie groups / symmetric spaces / representations / 表現論 / ゼータ関数 / 量子群 / ヘッケ環 / 球関数 / リー群 / 表現 / 対称空間 / finance theory / stochastic control / quantum chaos / stable random field / Dirichlet forms / analysis on fractals / Malliavin calculus / stochastic analysis / ディリクレ形成 / エルゴ-ド的流 / ジュリア集合 / ウィナ-・リ-マン多様体 / 符号化定理 / 正則関数 / ファイナンス理論 / 確率制御 / 量子カオス / 安定確率場 / ディリクレ形式 / フラクタル解析 / マリアバン解析 / 確率解析 / 熱半群 / ガウス写像 / 擬等角変形空間 / 非線形ネットワーク / 除去可能特異点 / 乗数イデアル / 双曲空間 / 変分公式 / レブナー鎖 / Brown運動 / 関数方程式論 / 関数論 / varifold / Sierpinski gasket / 擬等角写像 / Green核 / イギリス:カナダ:ドイツ:韓国:アメリカ / イギリス:カナダ:アメリカ:フランス / イギリス:カナダ:アメリカ:フランス:中国 / イギリス:アメリカ:カナダ / 英:米:ドイツ / イギリス:アメリカ:カナダ / イギリス:アメリカ:カナダ:ドイツ / Allen-Cahn方程式 / Orlicz空間 / Markov chain / 極小尖細 / 正則写像 / Martin境界 / Rieszポテンシャル / 半線形楕円型方程式 / Random walk / Klien群 / 放物型偏微分方程式 / 一様領域 / 非線形不等式 / conformal dimension / フェイズフィールド法 / Dirichlet問題 / 変動指数 / ヘルダー連続性 / Cauchy積分 / 楕円型作用素の摂動 / 複素解析 / 放物型方程式 / 楕円型方程式 / 実解析 / カナダ:アメリカ:フランス / カナダ:アメリカ:ドイツ / イギリス:ドイツ:ポーランド / 応用数学 / Tikhonov正則化法 / 多倍長数値計算 / 数値解析 / 再構成手法 / 逆解析 / 非適切問題 / 逆問題 / 動的パターン投影法 / Dirichlet形式 / Ecalle理論 / パスプランニング / マーラー関数 / Caianiello方程式 / リュエル作用素 / 神経回路モデル / 力学系 / 超越数論 / 余接空間 / 正値性 / シンプレクティック / 超局所的 / Sehrodinger型 / 無限次退化 / 主要型擬微分作用素 / 非線形力学系 / 非線形波動 / 非線形可積分系 / 漸近展開 Less
  • Research Projects

    (33 results)
  • Research Products

    (153 results)
  • Co-Researchers

    (87 People)
  •  Stochastic Processes and Stochastic Analysis on Disordered Media

    • Principal Investigator
      熊谷 隆
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Waseda University
  •  Construction of analysis via partitions and weights of spacesPrincipal Investigator

    • Principal Investigator
      KIGAMI JUN
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Kyoto University
  •  Study of Analysis and Geometry of complex spacesPrincipal Investigator

    • Principal Investigator
      KIGAMI JUN
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
  •  Deepening of potential analysis on nonsmooth domains - Applications to PDE and ideal boundary

    • Principal Investigator
      Aiakwa Hiroaki
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Chubu University
      Hokkaido University
  •  Relation between structure of spaces and analysisPrincipal Investigator

    • Principal Investigator
      KIGAMI JUN
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Anomalous diffusions on disordered media

    • Principal Investigator
      Kumagai Takashi
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Waseda University
      Kyoto University
  •  Relation between algebra, geometry and analysis on fractalsPrincipal Investigator

    • Principal Investigator
      Kigami Jun
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Towerd analysis on metric-measure spaces-- Cheeger theory and fractalsPrincipal Investigator

    • Principal Investigator
      Kigami Jun
    • Project Period (FY)
      2014 – 2015
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Stochastic processes on disordered media -- discrete models and their scaling limits

    • Principal Investigator
      Kumagai Takashi
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Potential theory on space complexity and ideal boundary

    • Principal Investigator
      Aikawa Hiroaki
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Interaction between areas of Mathematics related to internal structures of fractalsPrincipal Investigator

    • Principal Investigator
      KIGAMI Jun
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Markov chains on disordered media and their scaling limits

    • Principal Investigator
      KUMAGAI Takashi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Research on potential problems from various aspects

    • Principal Investigator
      AIKAWA Hiroaki
    • Project Period (FY)
      2008 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Aspects of Mathematics on FractalsPrincipal Investigator

    • Principal Investigator
      KIGAMI Jun
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Developments of the theory of stochastic processes and real analysis on disordered media

    • Principal Investigator
      KUMAGAI Takashi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  測度論的リーマン構造と対応する熱核の漸近挙動Principal Investigator

    • Principal Investigator
      木上 淳
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Aspects of Mathematics on FractalsPrincipal Investigator

    • Principal Investigator
      KIGAMI Jun
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  多変数複素力学系とフラクタル上のラプラシアンのスペクトル分布の接点Principal Investigator

    • Principal Investigator
      木上 淳
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Mathematical Fundation of FractalsPrincipal Investigator

    • Principal Investigator
      KIGAMI Jun
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  INteraction between probability and analysis on disordered media

    • Principal Investigator
      KUMAGAI Takashi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  逆問題の解の再構成手法の確立

    • Principal Investigator
      磯 祐介
    • Project Period (FY)
      2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Research on vibrations and diffusions on fractalsPrincipal Investigator

    • Principal Investigator
      KIGAMI Jun
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Institution
      KYOTO UNIVERSITY
  •  Developments of Analysis on Fractals

    • Principal Investigator
      HINO Masanod
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  フラクタル上の解析学の基礎Principal Investigator

    • Principal Investigator
      木上 淳
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  フラクタル理論と超越数論の組織的研究

    • Principal Investigator
      畑 政義
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  Microlocal analysis for operators with infinite degeneracy

    • Principal Investigator
      MORIMOTO Yoshinori
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  漸近解析的方法による非線形問題の研究

    • Principal Investigator
      高崎 金久
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  主要型擬分作用素の正値性と局所可解性

    • Principal Investigator
      MORIMOTO Yoshinori
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyoto University
  •  フラクタル領域上の解析学の基礎Principal Investigator

    • Principal Investigator
      木上 淳
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Representation and analysis on symmetric spaces

    • Principal Investigator
      MATSUKI Toshihiko
    • Project Period (FY)
      1995 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYOTO UNIVERSITY
  •  フラクタル上のラプラシアンとその固有関数の性質Principal Investigator

    • Principal Investigator
      木上 淳
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  フラクタル上のラプラシアンとそのスペクトル分析Principal Investigator

    • Principal Investigator
      木上 淳
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Co-operative Research of Probability Theory

    • Principal Investigator
      FUKUSHIMA Masatoshi
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] Conductive homogeneity of compact metric spaces and construction of p-energy2023

    • Author(s)
      J. Kigami
    • Total Pages
      129
    • Publisher
      European Math. Society
    • ISBN
      9783985470563
    • Data Source
      KAKENHI-PROJECT-21K18587
  • [Book] Geometry and Analysis of Metric Spaces via Weighted Partitions2021

    • Author(s)
      J. Kigami
    • Total Pages
      164
    • Publisher
      Springer
    • ISBN
      9783030541538
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Book] American Math. Soc. Resistance forms, quasisymmetric maps and heat kernel estimates2012

    • Author(s)
      J. Kigami
    • Total Pages
      108
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Book] Resistance forms, quasisymmetric maps and heat kernel estimates, Memoirs of the AMS/216/10152012

    • Author(s)
      J. Kigami
    • Total Pages
      132
    • Publisher
      アメリカ数学会
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Book] Resistance forms, quasisymmetric maps and heat kernel estimates, Mem. Amer. Math. Soc. 216 no 10152012

    • Author(s)
      Jun Kigami
    • Total Pages
      132
    • Publisher
      American Math. Soc.
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Book] Volume Doubling Measures and Heat Kernel Estimates on Self-Similar Sets2009

    • Author(s)
      Jun Kigami
    • Total Pages
      94
    • Publisher
      American Mathematical Society
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Book] Jun Volume doubling measures and heat kernel estimates on self-similar sets2009

    • Author(s)
      Kigami, Jun
    • Total Pages
      94
    • Publisher
      Mem. Amer. Math. Soc
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Book] Volume Doubling Measures and Heat Kernel Estimates on Self-Similar Sets2009

    • Author(s)
      Jun KIGAMI
    • Total Pages
      94
    • Publisher
      アメリカ数学会Memoirs of the AMS / 199/ 932
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Book] Volume Doubling Measures and Heat Kernel Estimates on Self-Similar Sets, Memoirs of the AMS/199/9322009

    • Author(s)
      J. Kigami
    • Total Pages
      94
    • Publisher
      アメリカ数学会
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Book] Volume Doubling Measures and Heat Kernel Estimates on Self-Similar Sets, Memoirs of the AMS/199/9322009

    • Author(s)
      J.Kigami
    • Total Pages
      94
    • Publisher
      アメリカ数学会
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Book] Volume doubling measures and heat kernel estimates on self-similar sets(出版)

    • Author(s)
      木上 淳
    • Total Pages
      100
    • Publisher
      アメリカ数学会(準備中)(出版確定)
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] “The Sierpinski gasket minus its bottom line” as a tree of Sierpinski gaskets2024

    • Author(s)
      J. Kigami & K. Takahashi
    • Journal Title

      Math. Z.

      Volume: 28 Issue: 2

    • DOI

      10.1007/s00209-023-03416-1

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K18587, KAKENHI-PROJECT-21H00989
  • [Journal Article] Conductive homogeneity of compact metric spaces and construction of p-energy2023

    • Author(s)
      Jun Kigami
    • Journal Title

      Memoirs of the European Mathematical Society

      Volume: -

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21H00989
  • [Journal Article] Conductive homogeneity of compact metric spacdes and condtruction of p-energy2023

    • Author(s)
      Jun KIGAMI
    • Journal Title

      Memoirs of the European Mathematical Society

      Volume: -

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-21K18587
  • [Journal Article] Geometry and Analysis of Metric Spaces via Weighted Partitions2020

    • Author(s)
      Kigami Jun
    • Journal Title

      Lect Notes Math

      Volume: 2265

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Journal Article] Time Changes of the Brownian Motion: Poincare Inequality, Heat Kernel Estimate and Protodistance2019

    • Author(s)
      J. Kigami
    • Journal Title

      Memoirs of the American Math. Soc.

      Volume: 259 Issue: 1250

    • DOI

      10.1090/memo/1250

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Journal Article] Time changes of the Brownian motion: Poincar{\'e} inequality, heat kernel estimate and protodistance2019

    • Author(s)
      J. Kigami
    • Journal Title

      Memoirs of American Mathematical Society

      Volume: 印刷中

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Journal Article] Completely symmetric resistance forms on the stretched Sierpinski gasket.2018

    • Author(s)
      P. Alonso Ruiz, U. Freiberg and J. Kigami
    • Journal Title

      Journal of Fractal Geometry

      Volume: 掲載予定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Journal Article] Completely symmetric resistance forms on the stretched Sierpinski gasket2018

    • Author(s)
      P. Alonso Ruiz, U. Freiberg and J. Kigami
    • Journal Title

      Journal of Fractal Geometry

      Volume: 印刷中

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Journal Article] Completely symmetric resistance forms on the stretched Sierpinski gasket2017

    • Author(s)
      P. Alonso Ruiz, U. Freiberg and J. Kigami
    • Journal Title

      Journal of Fractal Geometry

      Volume: 印刷中

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Journal Article] Transition on a noncompact Cantor set and random walks on its defining tree2013

    • Author(s)
      J. Kigami
    • Journal Title

      Ann. Inst. Henri Poincare, Probab. Stat

      Volume: vol.49 Pages: 10901129-10901129

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Journal Article] Transitions on a noncompact Cantor set and random walks on its defining tree2013

    • Author(s)
      Jun Kigami
    • Journal Title

      Ann. Inst. Henri Poincaré Probab. Stat.

      Volume: 49 Issue: 4 Pages: 1090-1129

    • DOI

      10.1214/12-aihp496

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340025, KAKENHI-PROJECT-25247007, KAKENHI-PROJECT-25287015
  • [Journal Article] Resistance forms, quasi- symmetric maps and heat kernel estimates2012

    • Author(s)
      J. Kigami
    • Journal Title

      Mem. Amer. Math. Soc.

      Volume: 216 Issue: 1015 Pages: 132-132

    • DOI

      10.1090/s0065-9266-2011-00632-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Journal Article] Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees2010

    • Author(s)
      J.Kigami
    • Journal Title

      Adv.Math.

      Volume: 225 Pages: 2674-2730

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Journal Article] Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees2010

    • Author(s)
      J.Kigami
    • Journal Title

      Adv.Math

      Volume: 225 Pages: 2674-2730

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Journal Article] Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees2010

    • Author(s)
      J. Kigami
    • Journal Title

      Adv. Math. 225

      Pages: 2674-2730

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees2010

    • Author(s)
      J. Kigami
    • Journal Title

      Adv. Math

      Volume: 225 Pages: 2674-2730

    • Data Source
      KAKENHI-PROJECT-20340017
  • [Journal Article] Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees2010

    • Author(s)
      J. Kigami
    • Journal Title

      Adv. Math

      Volume: 225 Issue: 5 Pages: 2674-2730

    • DOI

      10.1016/j.aim.2010.04.029

    • Data Source
      KAKENHI-PROJECT-20244007, KAKENHI-PROJECT-22340017
  • [Journal Article] Dirichlet forms and associated heat kernels on the Cantor set induced by random walks on trees2010

    • Author(s)
      J.Kigami
    • Journal Title

      Adv.Math.

      Volume: 225 Pages: 2674-2730

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Journal Article] Volume Doubling Measures and Heat Kernel Estimates on Self-similar Sets.2009

    • Author(s)
      J. Kigami
    • Journal Title

      Memoirs of the American Mathematical Society (掲載予定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Doubling Measures and heat kernel estimates on self similar sets, Memoirs of Amer2009

    • Author(s)
      J. Kigami
    • Journal Title

      Math. Soc. 199/932

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Measurable Riemannian geometry on the Sierpinski gasket : Kusuoka measure and the Gaussian heat kernel estimate.2008

    • Author(s)
      J. Kigami
    • Journal Title

      Math. Ann. 340

      Pages: 781-804

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Measurable Riemannian geometry on the Sierpinski gasket : the Kusuoka measure and the Gaussian heat kernel estimate2008

    • Author(s)
      Kigami, Jun
    • Journal Title

      Math. Ann 340, no.4

      Pages: 781-804

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] Measurable Riemannian geometry on the Sierpinski gasket : the Kusuoka measure and the Gaussian heat kernel estimate2008

    • Author(s)
      J. Kigami
    • Journal Title

      Math. Ann 340

    • Data Source
      KAKENHI-PROJECT-18340027
  • [Journal Article] Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate.2008

    • Author(s)
      木上 淳
    • Journal Title

      Math. Ann. 340

      Pages: 781-804

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate.2008

    • Author(s)
      Kigami, Jun
    • Journal Title

      Math. Ann. vol.340

      Pages: 781-804

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Journal Article] Local Nash inequality and inhomogeneity of heat kernels2004

    • Author(s)
      J.Kigami
    • Journal Title

      Proc.London Math.Soc.(3) 89

      Pages: 525-544

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340034
  • [Journal Article] Volume doubling measures and heat kernel estimates on self-similar sets,

    • Author(s)
      Kigami, Jun
    • Journal Title

      Memoirs of the American Math. Soc. (掲載確定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Presentation] Construction of Sobolev spaces on metric spaces2024

    • Author(s)
      J. Kigami
    • Organizer
      Fractals, quantum graphs and applications in pure and applied sciences
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K18587
  • [Presentation] Conductive homogeneity of locally symmetric polygon-based self-similar sets2024

    • Author(s)
      J. Kigami
    • Organizer
      CIRM workshop "Analysis on fractals and networks, and applications"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K18587
  • [Presentation] Construction of Sobolev spaces on metric spaces2024

    • Author(s)
      J. Kigami
    • Organizer
      Fractals, quantum graphs and applications in pure and applied sciences
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H00989
  • [Presentation] Conductive homogeneity of locally symmetric polygon-based self-similar sets2024

    • Author(s)
      J. Kigami
    • Organizer
      CIRM workshop "Analysis on fractals and networks, and applications"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H00989
  • [Presentation] Yet another construction of "Sobolev spaces" on metric spaces2023

    • Author(s)
      J. Kigami
    • Organizer
      Quasiworld workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H00989
  • [Presentation] Yet another construction of "Sobolev spaces" on metric spaces2023

    • Author(s)
      J. Kigami
    • Organizer
      Quasiworld workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K18587
  • [Presentation] Conductive homogeneity of compact metric spacees and construction of p-energies2022

    • Author(s)
      Jun Kigami
    • Organizer
      7th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H00989
  • [Presentation] Conductive homogeneity of compact metric spaces and construction of p-energy2022

    • Author(s)
      Jun Kigami
    • Organizer
      2nd Joint Congress of Mathematics of AMS-EMS-SMF
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22H00099
  • [Presentation] Conductive homogeneity of compact metric spaces and construction of p-energy2022

    • Author(s)
      Jun Kigami
    • Organizer
      2nd Joint Congress of Mathematics of AMS-EMS-SMF
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H00989
  • [Presentation] Yet another construction of ``Sobolev spaces'' on metric spaces2022

    • Author(s)
      Jun Kigami
    • Organizer
      Smooth Functions on Rough Spaces and Fractals with Connections to Curvature Functional Inequalities
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21H00989
  • [Presentation] Conductive homogeneity of compace metric spaces and construction of p-energy2022

    • Author(s)
      Jun Kigami
    • Organizer
      Analysis on Metric spaces
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K18587
  • [Presentation] Ahlfors regular conformal dimension of metric spaces and parabolic index of finite graphs2020

    • Author(s)
      Kigami Jun
    • Organizer
      Geometric Measure Theory and Geometric Analysis in Moscow
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Ahlfors regular conformal dimension of compact metric spaces and parabolic index of infinite graphs2019

    • Author(s)
      J. Kigami
    • Organizer
      Heat Kernels, Stochastic Processes and Functional Inequalities, MFO
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Ahlfors regular conformal dimension of compact metric spaces and parabolic index of infinite graphs2019

    • Author(s)
      J. Kigami
    • Organizer
      Canadian Math. Soc. Winter meeting
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Weakly exponential measures and time changes of the Brownian motion2019

    • Author(s)
      Kigami Jun
    • Organizer
      IPAM Workshop, Analysis and Geometry of Random Shapes
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Weakly exponential measures and time changes of the Brownian motion2019

    • Author(s)
      J. Kigami
    • Organizer
      IPAM Workshop, Analysis and Geometry of Random Shapes
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Weakly exponential measures and time changes of the Brownian motion2019

    • Author(s)
      Jun KIGAMI
    • Organizer
      IPAM Workshop, Analysis and Geometry of Random Shapes
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Weakly exponential measures and time changes of the Brownian motion2019

    • Author(s)
      Jun Kigami
    • Organizer
      Analysis and Geometry of Random Shapes (UCLA, USA)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Ahlfors conformal dimension of a metric space and parabolic index of an infinite graph2019

    • Author(s)
      Kigami Jun
    • Organizer
      International Conference on Analysis and PDEs on Manifolds and Fractals
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Weakly exponential measures and time changes of the Brownian motion2019

    • Author(s)
      Kigami Jun
    • Organizer
      Analysis and Geometry of Random Shapes
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Ahlfors conformal dimension of a metric space and parabolic index of an inite graph2019

    • Author(s)
      Jun KIGAMI
    • Organizer
      International Conference on Analysis and PDEs on Manifolds and Fractals
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Weighted partition of a compact metric space, its hyperbolicity and Ahlfors regular conformal dimension2018

    • Author(s)
      J. Kigami
    • Organizer
      2018 Spring Probability Workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Ahlfors regular conformal dimension and critical value of p-energies of a compact metric space2017

    • Author(s)
      J. Kigami
    • Organizer
      1134th AMS Sectional Meeting (California, USA)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Construction of metrics on a compact metric spaces2017

    • Author(s)
      木上 淳
    • Organizer
      6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Ahlfors regular conformal dimension and critical value of p-energies of a compact metric space2017

    • Author(s)
      J. Kigami
    • Organizer
      1134th AMS Sectional Meeting
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01093
  • [Presentation] Completely symmetric resistance forms on the stretched Sierpinski gasket2017

    • Author(s)
      J. Kigami
    • Organizer
      Dirichlet forms and their geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Completely symmetric resistance forms on the stretched Sierpinski gasket2017

    • Author(s)
      J. Kigami
    • Organizer
      Dirichlet forms and their geometry
    • Place of Presentation
      東北大学(仙台市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Ahlfors regular conformal dimension and critical value of p-energies of a compact metric space2017

    • Author(s)
      木上 淳
    • Organizer
      1134th AMS Sectional Meeting
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H02849
  • [Presentation] Geometry of Metric Spaces via Partitions and Gauge Functions2016

    • Author(s)
      Jun Kigami
    • Organizer
      1st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas
    • Place of Presentation
      Hong Kong University of Science and Technology,Hong Kong, China
    • Year and Date
      2016-03-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Time change of Brownian motion: Poincare inequality, heat kernel estimate and protodistance2016

    • Author(s)
      Jun Kigami
    • Organizer
      2016 Joint Mathematics Meeting
    • Place of Presentation
      Seattle, WA, USA
    • Year and Date
      2016-01-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Time change of Brownian motion: Poincare inequality, heat kernel estimate and protodistance2016

    • Author(s)
      Jun Kigami
    • Organizer
      2016 Joint Mathematics Meeting, AMS special session “Fractal Geometry and Dynamical Systems”
    • Place of Presentation
      シアトル(アメリカ)
    • Year and Date
      2016-01-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Time change of Brownian motion: Poincare inequality, heat kernel estimate and protodistance2016

    • Author(s)
      J. Kigami
    • Organizer
      2016 Joint Mathematics Meeting, AMS special session “Fractal Geometry and Dynamical Systems”
    • Place of Presentation
      Seattle (USA)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Time change of Brownian motion; Poincare inequality and Protodistance2016

    • Author(s)
      J. Kigami
    • Organizer
      Lorenz center workshop; Fractality and Fractionality
    • Place of Presentation
      Lorenz center, Leoden(Netherlands)
    • Year and Date
      2016-05-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Completely symmetric resistance forms on the Stretched Sierpinski gasket2016

    • Author(s)
      J. Kigami
    • Organizer
      2016 Summer School on Fractal Geometry and Complex Dimensions
    • Place of Presentation
      California Polytechnic State University, San Luis Obispo(USA)
    • Year and Date
      2016-06-29
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Partition of metrizable spaces by trees, volume doubling measures and quasisymmetry2015

    • Author(s)
      木上 淳
    • Organizer
      America Mathematical Society sectional meeting #1114,
    • Place of Presentation
      California State University, (Fullerton, CA, USA)
    • Year and Date
      2015-10-24
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26610023
  • [Presentation] Dirichlet forms on p-adic numbers and random walks on the associated tree2014

    • Author(s)
      J. Kigami
    • Organizer
      Dirichlet Form Theory and its Applications
    • Place of Presentation
      Oberwolfach研究所(ドイツ)
    • Year and Date
      2014-10-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Volume doubling property, quasisymmetry and heat kernels2014

    • Author(s)
      J. Kigami
    • Organizer
      Australian Satistical Conference in conjunction with the Institute of Mathematical Statistics Annual Meeting 2014
    • Place of Presentation
      Australian Technology Park(オーストラリア)
    • Year and Date
      2014-07-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Diffusion on inhomogeneous media and multifractal analysis2014

    • Author(s)
      Jun Kigami
    • Organizer
      Multifractal Analysis: From Theory to Applications and Back
    • Place of Presentation
      Banff International Reseach Station for Mathematical Innovation and Discovery
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Volume doubling property, quasisymmetry and heat kernels2014

    • Author(s)
      J. Kigami
    • Organizer
      ASC-IMS 2014 Annual Meeting at Sydney
    • Place of Presentation
      シドニー(オーストラリア)
    • Year and Date
      2014-07-07
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Dirichlet forms on p-adic numbers and random walks on the associated tree2014

    • Author(s)
      J. Kigami
    • Organizer
      Oberwolfach Meeting, Oberwolfach Institute
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Year and Date
      2014-10-21
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Diffusion on inhomogeneous media and multifractal analysis2014

    • Author(s)
      J. Kigami
    • Organizer
      Multifractal Analysis : From Theory to Applications and Back
    • Place of Presentation
      Banff International Research Station for Mathematical Innovation and Discovery
    • Year and Date
      2014-02-24
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Volume doubling property, qusisymmetry and time change of Brownian motion2014

    • Author(s)
      J. Kigami
    • Organizer
      Fractal Geometry and Stochastics 5
    • Place of Presentation
      University of Jena
    • Year and Date
      2014-03-26
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Analyses on metric-measure spaces, Interaction Between Analysis and Geometry2013

    • Author(s)
      J. Kigami
    • Organizer
      Workshop I : Analysis on Metric Spaces
    • Place of Presentation
      Institute of Pure and Applied Mathematics, UCLA
    • Year and Date
      2013-03-20
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Partition, volume doubling property and quasisymmetry2013

    • Author(s)
      Jun Kigami
    • Organizer
      Interaction Between Analysis and Geometry, Workshop III: Non-smooth geometry
    • Place of Presentation
      IPAM, UCLA
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Analyses on measure metric spaces : Cheeger construction and measurable Riemannian geometry2013

    • Author(s)
      J. Kigami
    • Organizer
      Recent Trends in Stochastic Analysis
    • Place of Presentation
      Pacific Institute for the Mathematics Sciences
    • Year and Date
      2013-07-24
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Partition, volume doubling property and quasisymmetry, Interaction Between Analysis and Geometry2013

    • Author(s)
      J. Kigami
    • Organizer
      Workshop III : Non-smooth geometry
    • Place of Presentation
      Institute of Pure and Applied Mathematics, UCLA
    • Year and Date
      2013-05-03
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Analyses on measure metric spaces: Cheeger construction and measurable Riemannian geometry2013

    • Author(s)
      Jun Kigami
    • Organizer
      Recent Trends in Stochastic Analysis
    • Place of Presentation
      Pacific Institute for the Mathematics Sciences
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Analyses on measure metric spaces: Cheeger construction and measurable Riemannian geometry2013

    • Author(s)
      Jun Kigami
    • Organizer
      Recent Trends in Stochastic Analysis
    • Place of Presentation
      University of British Columbia, カナダ
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Partition, volume doubling property and quasisymmetry2013

    • Author(s)
      Jun Kigami
    • Organizer
      Interaction Between Analysis and Geometry, Workshop III: Non-smooth geometry
    • Place of Presentation
      Institute of Pure and Applied Mathematics, UCLA, アメリカ
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] Completion of the Sierpinski gasket minus the unit interval2013

    • Author(s)
      Jun Kigami
    • Organizer
      Workshop: Heat kernels, Stochastic Processes and Functional Inequalities
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Completion of the Sierpinski gasket minus the unit interval2013

    • Author(s)
      J. Kigami
    • Organizer
      Workshop : Heat kernels, Stochastic Processes and Functional Inequalities
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach
    • Year and Date
      2013-05-10
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Analysis on Fractals, The Applications of Fractal Geometry & Dynamical Systems Theory to Biology & Physics2012

    • Author(s)
      J. Kigami
    • Organizer
      Institute for the Applications of Mathematics & Integrated Science
    • Place of Presentation
      University of California, Riverside
    • Year and Date
      2012-06-20
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Partition, volume doubling property and quasisymmetry on metric measure spaces2012

    • Author(s)
      木上淳
    • Organizer
      International Conference on Advances on Fractals and Related Topics
    • Place of Presentation
      香港中文大学(香港)
    • Year and Date
      2012-12-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Partition, volume doubling property and quasi symmetry on metric spaces2012

    • Author(s)
      木上淳
    • Organizer
      The 1078th AMS Meeting
    • Place of Presentation
      ハワイ大学(アメリカ)
    • Year and Date
      2012-03-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Analysis on Fractals2012

    • Author(s)
      Jun Kigami
    • Organizer
      The Applications of Fractal Geometry & Dynamical Systems Theory to Biology & Physics
    • Place of Presentation
      Unversity of California, Riverside(アメリカ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Partition, volume doubling property and quasisymmetry on metric measure spaces2012

    • Author(s)
      Jun Kigami
    • Organizer
      International Conference on Advances on Fractals &Related Topics
    • Place of Presentation
      Chinese University of Hong Kong (中国)
    • Invited
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Analysis on Fractals2012

    • Author(s)
      木上淳
    • Organizer
      The Applications of Fractal Geometry and Dynamical Systems Theory to Biology & Physics
    • Place of Presentation
      UC. Riverside(アメリカ)
    • Year and Date
      2012-06-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Analysi on Fractals, The Applications of Fractal Geometry & Dynamical Systems2012

    • Author(s)
      J. Kigami
    • Organizer
      Theory to Biology&Physics, Unversity of California
    • Place of Presentation
      Riverside(アメリカ)
    • Year and Date
      2012-06-20
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Partition, volume doubling property and quasi symmetry on metric spaces2012

    • Author(s)
      J. Kigami
    • Organizer
      AMS 1078th meeting
    • Place of Presentation
      University of Hawaii
    • Year and Date
      2012-03-08
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Partition, volume doubling property and quasisymmetry on metric measure spaces2012

    • Author(s)
      J. Kigami
    • Organizer
      International Conference on Advances on Fractals &Related Topics
    • Place of Presentation
      The Chinese University of Hong Kong
    • Year and Date
      2012-12-12
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Partition, volume doubling property and quasi symmetry on metric spaces2012

    • Author(s)
      J.Kigami
    • Organizer
      AMS 1078th meeting, special session "Geometry and Analysis on Fractal Spaces"
    • Place of Presentation
      ハワイ大学(アメリカ)(招待講演)
    • Year and Date
      2012-03-08
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Dirichlet forms on a noncompact Cantor set and random walk onits de fining tree2011

    • Author(s)
      J. Kigami
    • Organizer
      Workshop "Foundation of Stochastic Analysis"
    • Place of Presentation
      Banff International Research Station
    • Year and Date
      2011-09-21
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Dirichlet forms on a noncompact Cantor set and random walk on its defining tree2011

    • Author(s)
      木上淳
    • Organizer
      Stochastic Analysis (Banff Meeting)
    • Place of Presentation
      Banff International Research Station(カナダ)
    • Year and Date
      2011-09-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Closure of S\I2011

    • Author(s)
      J.Kigami
    • Organizer
      AMS 1072th meeting
    • Place of Presentation
      Cornell University
    • Year and Date
      2011-09-10
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Dirichlet forms on a noncompact Cantor set and random walk on its defining tree2011

    • Author(s)
      J.Kigami
    • Organizer
      First International meeting PISRS, Analysis, Fractal Geometry, Dynamical Systems and Eonomics
    • Place of Presentation
      メッシーナ大学(イタリア)(招待講演)
    • Year and Date
      2011-11-10
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Dirichlet forms on a noncompact Cantor set and random walk on its defining tree2011

    • Author(s)
      J.Kigami
    • Organizer
      First International meeting PISRS
    • Place of Presentation
      University of Messina
    • Year and Date
      2011-11-10
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Closure of S¥I2011

    • Author(s)
      J. Kigami
    • Organizer
      AMS 1072th meeting
    • Place of Presentation
      Cornell University
    • Year and Date
      2011-09-10
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Dirichlet forms on a noncompact Cantor set and random walk on its defining tree2011

    • Author(s)
      J.Kigami
    • Organizer
      Foundation of Stochastic Analysis
    • Place of Presentation
      BIRS
    • Year and Date
      2011-09-21
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Dirichlet forms on a noncompact Cantor set and random walk on its defining tree2011

    • Author(s)
      J. Kigami
    • Organizer
      Foundation of Stochastic Analysis
    • Place of Presentation
      バンフ国際研究所(カナダ)
    • Year and Date
      2011-09-21
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Dirichlet forms on a noncompact Cantor set and random walk on its defining tree, Analysis, Fractal Geometry, Dynamical Systems and Economics2011

    • Author(s)
      J. Kigami
    • Organizer
      First International meeting PISRS
    • Place of Presentation
      University of Messina
    • Year and Date
      2011-11-10
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Dirichlet forms on a noncompact Cantor set and random walk on its defining tree2011

    • Author(s)
      J.Kigami
    • Organizer
      Workshop "Foundation of Stochastic Analysis"
    • Place of Presentation
      バンフ国際研究所(カナダ)(招待講演)
    • Year and Date
      2011-09-21
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Dirichlet forms and heat kernels on the Cantor sets as the traces of Random walks on trees2010

    • Author(s)
      木上淳
    • Organizer
      4th International Conference on Stochastic Analysis and Its applications
    • Place of Presentation
      関西大学(招待講演)
    • Year and Date
      2010-09-03
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Quaiconformal modification of metrics on self-similar sets2010

    • Author(s)
      J.Kigami
    • Organizer
      1062nd AMS meeting, Analysis, Probability and Mathematical Physics on Fractals
    • Place of Presentation
      Syracuse University, Syracuse USA 招待講演
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Dirichlet forms and heat kernels on the Cantor sets as the traces of Random walks on trees2010

    • Author(s)
      J.Kigami
    • Organizer
      4th International Conference on Stochastic Analysis and Its applications
    • Place of Presentation
      関西大学 招待講演
    • Year and Date
      2010-09-03
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Resistance forms, quasisymmetric maps and heat kernel estimates, Workshop Analysis and Probability on Fractals2010

    • Author(s)
      J. Kigami
    • Organizer
      Workshop "Analysis and Probability on Fractals", Fourier Institute
    • Place of Presentation
      Grenoble, France
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Presentation] Resistance forms, quasisymmetric maps and heat kernel estimates2010

    • Author(s)
      木上淳
    • Organizer
      Analysis and Probability on Fractals
    • Place of Presentation
      Fourier Institute, Grenoble (France)(招待講演)
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Resistance forms, quasisymmetric maps and heat kernel estimates2010

    • Author(s)
      J.Kigami
    • Organizer
      Analysis and Probability on Fractals
    • Place of Presentation
      Fourier Institute, Grenoble, France 招待講演
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Resistance forms, quasi- symmetric maps and heat kernel estimates2010

    • Author(s)
      木上淳
    • Organizer
      Analysis and Probability on Fractals
    • Place of Presentation
      Fourier Institute, Grenoble France
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Quaiconformal modification of metrics on self-similar sets, 1062nd AMS meeting2010

    • Author(s)
      J. Kigami
    • Organizer
      Analysis, Probability and Mathematical Physics on Fractals
    • Place of Presentation
      Syracuse University (アメリカ)
    • Year and Date
      2010-10-23
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Resistance forms, quasisymmetric maps and heat kernel estimates2010

    • Author(s)
      J.Kigami
    • Organizer
      Workshop "Analysis and Probability on Fractals"
    • Place of Presentation
      Fourier Institute (France)
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Presentation] Quaiconformal modification of metrics on self-similar sets2010

    • Author(s)
      J. Kigami
    • Organizer
      1062nd AMS meeting, Analysis, Probability and Mathematical Physics on Fractals
    • Place of Presentation
      Syracuse University, USA
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Dirichlet forms and heat kernels on the Cantor sets as the traces of Random walks on trees2010

    • Author(s)
      木上淳
    • Organizer
      4th Internatio- nal Conference on Stochastic Analysis and Its applications
    • Place of Presentation
      関西大学
    • Year and Date
      2010-09-03
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Dirichlet forms and heat kernels on the Cantor sets as the traces of random walks on trees2009

    • Author(s)
      J. Kigami
    • Organizer
      Workshop on Fractals and Tilings 2009
    • Place of Presentation
      Strobl(Austria)
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Presentation] Dirichlet forms and heat kernels on the Cantor sets as the traces of random walks on trees2009

    • Author(s)
      J.Kigami
    • Organizer
      Workshop on Fractals and Tilings 2009
    • Place of Presentation
      Strobl(Austria)
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Dirichlet forms and heat kernels on the Cantor sets as the traces of random walks on trees2009

    • Author(s)
      J. Kigami
    • Organizer
      1054st AMS meeting
    • Place of Presentation
      Riverside, California
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Presentation] Dirichlet forms and heat kernels on the Cantor sets as the traces of random walks on trees2009

    • Author(s)
      J.Kigami
    • Organizer
      1054 AMS meeting
    • Place of Presentation
      Riverside, California, U.S.A
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Dirichlet forms and heat kernels on the Cantor sets as the traces of random walks on trees2009

    • Author(s)
      J.Kigami
    • Organizer
      1054st AMS meeting
    • Place of Presentation
      Riverside, California, USA
    • Year and Date
      2009-11-07
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Presentation] Resistance forms, quasisymmetric maps and heat kernel estimates2008

    • Author(s)
      木上淳
    • Organizer
      3rd Conference of Analysis and Probability on Fractal
    • Place of Presentation
      Cornell University
    • Year and Date
      2008-05-31
    • Data Source
      KAKENHI-PROJECT-20340017
  • [Presentation] Measurable Riemannian geometry on the Sierpinski gasket2008

    • Author(s)
      木上淳
    • Organizer
      第一回日本数学会季期研究所国際研究集会
    • Place of Presentation
      京都大学時計台百周年記念ホール
    • Year and Date
      2008-08-06
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Presentation] Resistance forms, quasisymmetric maps and heat kernel estimates2008

    • Author(s)
      J. Kigami
    • Organizer
      3rd Conference of Analysis and Probability on Fractals
    • Place of Presentation
      Cornell University
    • Data Source
      KAKENHI-PROJECT-20244007
  • [Presentation] Measurable Riemannian geometry on the Sierpinski gasket2007

    • Author(s)
      木上 淳
    • Organizer
      Newton Institute satellite conference, Analysis on Graphs and Fractals
    • Place of Presentation
      Cardiff University,英国
    • Year and Date
      2007-05-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Presentation] Measurable Riemannian geometry on the Sierpinski gasket2007

    • Author(s)
      J., Kigami
    • Organizer
      Newton Institute satellite conference, Analysis on Graphs and Fractals, Cardiff University
    • Place of Presentation
      Cardiff
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Presentation] Measurable Riemannian geometry on the Sierpinski gasket2007

    • Author(s)
      木上淳
    • Organizer
      Analysis on Graphs and Fractals (Newton Institutesatellite conference)
    • Place of Presentation
      Cardiff大学
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Presentation] Structure of rationally ramified self-similar sets2006

    • Author(s)
      木上 淳
    • Organizer
      1021st AMS meeting
    • Place of Presentation
      University of Connecticut, USA
    • Year and Date
      2006-10-28
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Presentation] Structure of rationally ramified self-similar sets2006

    • Author(s)
      J., Kigami
    • Organizer
      1021st AMS meeting, Storrs
    • Place of Presentation
      Connecticut
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Presentation] Structure of rationally ramified self-similar sets2006

    • Author(s)
      木上淳
    • Organizer
      Analysis and Probability on Fractals (special session in 1021st AMS meeting)
    • Place of Presentation
      コネチカット大学
    • Data Source
      KAKENHI-PROJECT-18340027
  • [Presentation] resistance forms and heat kernel estimates2005

    • Author(s)
      木上 淳
    • Organizer
      Oberwolfach workshop "Heat Kernels, Stochastic Processes and Functional Inequalities"
    • Place of Presentation
      Mathematisches Forschungs institut Oberwolfach, ドイツ
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Presentation] resistance forms and heat kernel estimates2005

    • Author(s)
      木上 淳
    • Organizer
      2nd Conference of Analysis and Probability on Fractals, May 31-June 4, 2005
    • Place of Presentation
      Cornell University, USA
    • Year and Date
      2005-05-31
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Presentation] Resistance forms and RC-networks2005

    • Author(s)
      J., Kigami
    • Organizer
      2005 AMS-IMS-SIAM Summer Research Conferences, Quantum Graphs and Their Applications
    • Place of Presentation
      Snowbird, Utah
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Presentation] Resistance forms and RC-networks2005

    • Author(s)
      木上 淳
    • Organizer
      2005 AMS-IMS-SIAM Summer Research Conferences
    • Place of Presentation
      Snowbird, Utah, USA
    • Year and Date
      2005-06-19
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17340026
  • [Presentation] Partition, volume doubling property and quasisymmetry on metric measure spaces.

    • Author(s)
      木上 淳
    • Organizer
      International Conference on Advances on Fractals and Related Topics
    • Place of Presentation
      The Chinese University of Hong Kong, Hong Kong
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Self-similar sets as quotients of shifts

    • Author(s)
      Jun Kigami
    • Organizer
      New Directions in Fractal Geometry
    • Place of Presentation
      Australian National University, Canberra, Australia
    • Year and Date
      2014-11-24 – 2014-11-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610023
  • [Presentation] Partition, volume doubling property and quasisymmetry

    • Author(s)
      木上淳
    • Organizer
      Interaction Between Analysis and Geometry, Workshop III: Non-smooth geometry
    • Place of Presentation
      IPAM, UCLA
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Partition, volume doubling property and quasisymmetry on metric measure spaces

    • Author(s)
      J. Kigami
    • Organizer
      International Conference on Advances on Fractals &Related Topics
    • Place of Presentation
      Chinese University of Hong Kong
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Analysis on Fractals

    • Author(s)
      Jun Kigami
    • Organizer
      3rd Bremen Winter School and Symposium, Diffusion on Fractals and Non-linear Dynamics
    • Place of Presentation
      University of Bremen, Germany
    • Year and Date
      2015-03-24 – 2015-03-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Self-similar sets as quotients of shift spaces

    • Author(s)
      Jun Kigami
    • Organizer
      5th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals
    • Place of Presentation
      Cornell University, Ithaca, NY, USA
    • Year and Date
      2014-06-11 – 2014-06-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-26610023
  • [Presentation] Analysis on Fractals

    • Author(s)
      J. KIgami
    • Organizer
      The Applications of Fractal Geometry & Dynamical Systems Theory to Biology & Physics.
    • Place of Presentation
      University of California, Riverside
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Analysis on Metric-Measure spaces -- Cheeger energy and measurable Riemannian structure

    • Author(s)
      J. Kigami
    • Organizer
      Workshop I: Analysis on Metric Spaces
    • Place of Presentation
      IPAM, University of California, Los Angeles
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340025
  • [Presentation] Analysis on Fractals.

    • Author(s)
      木上 淳
    • Organizer
      The Applications of Fractal Geometry and Dynamical Systems Theory to Biology & Physics.
    • Place of Presentation
      Unversity of California, Riverside, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Volume doubling property, quasisymmetry and heat kernels

    • Author(s)
      Jun Kigami
    • Organizer
      Australian Satistical Conference in conjunction with the Institute of Mathematical Statistics Annual Meeting 2014
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2014-07-07 – 2014-07-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Time change of Brownian motion: Poincare inequality and heat kernel estimate[

    • Author(s)
      Jun Kigami
    • Organizer
      Workshop on Dirichlet forms and Stochastic Analysis 2014
    • Place of Presentation
      Technische Universitat Dresden, Germenay
    • Year and Date
      2014-10-26 – 2014-10-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287017
  • [Presentation] Analyses on measure metric spaces: Cheeger construction and measurable Riemannian geometry

    • Author(s)
      木上淳
    • Organizer
      Recent Trends in Stochastic Analysis
    • Place of Presentation
      PIMS, University of British Columbia
    • Invited
    • Data Source
      KAKENHI-PROJECT-25247007
  • [Presentation] Dirichlet forms on a noncompact Cantor set and random walk on its defining tree

    • Author(s)
      木上 淳
    • Organizer
      Stochastic Analysis (Banff Meeting)
    • Place of Presentation
      Banff International Research Station(カナダ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Partition, volume doubling property and quasi symmetry on metric spaces

    • Author(s)
      木上 淳
    • Organizer
      The 1078th AMS Meeting
    • Place of Presentation
      ハワイ大学(アメリカ)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340017
  • [Presentation] Dirichlet forms on p-adic numbers and random walks on the associated tree

    • Author(s)
      Jun Kigami
    • Organizer
      Dirichlet Form Theory and its Applications
    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach, Germeny
    • Year and Date
      2014-10-20 – 2014-10-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287017
  • 1.  KUMAGAI Takashi (90234509)
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  • 2.  AIKAWA Hiroaki (20137889)
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  • 28.  SUZUKI Noriaki (50154563)
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  • 87.  楠岡 誠一郎 (20646814)
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