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KASU Atsushi  加須栄 篤

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… Alternative Names

KASUE Atsuhi  加須栄 篤

加須栄 篤

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Researcher Number 40152657
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2011 – 2019: 金沢大学, 数物科学系, 教授
2014: 金沢大学, 理工学研究域数物科学系, 教授
2011: 金沢大学, 理学部, 教授
2009: 金沢大学, 理工研究域数物科学系, 教授
2008 – 2009: Kanazawa University, 数物科学系, 教授 … More
2007 – 2008: 金沢大学, 大学院・自然科学研究科, 教授
2005 – 2008: 金沢大学, 理学部, 教授
2002 – 2007: Kanazawa University, Department of Mathematics, Professor, 自然科学研究科, 教授
2006: 金沢大学, 大学院自然科学研究科, 教授
2003: 金沢大学, 大学院・自然科学研究科, 教授
2001 – 2003: Kanazawa University, Fac of Sci., Professor, 理学部, 教授
2001: 金沢大学, 理工学部, 教授
1994 – 2000: Osaka City University, Faculty of Science, Professor, 理学部, 教授
1994: 大阪大学, 理学部, 教授
1990 – 1993: Osaka U., Fac. Sci., Associate Prof., 理学部, 助教授
1988 – 1989: 大阪大学, 理学部, 講師
1986: 大阪大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / 代数学・幾何学 / Global analysis / Global analysis
Except Principal Investigator
Geometry / 代数学・幾何学 / Basic analysis / Global analysis / 解析学 … More / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Geometry / Algebra Less
Keywords
Principal Investigator
リーマン多様体 / 熱核 / ディリクレ空間 / スペクトル収束 / エネルギー形式 / リッチ曲率 / ネットワーク / スペクトル距離 / 有効抵抗 / 調和写像 … More / 調和関数 / ガンマ収束 / グロモフ・ハウスドルフ距離 / 接続計量 / ディリクレ形式 / ランダムウォーク / Dirichlet space / ラプラス作用素 / spectral convergence / スペクトル幾何 / コンパクト化 / アルバネーゼトーラス / レゾルベント収束 / 平均曲率 / 対称マルコフ半群 / 正則ディリクレ空間 / リーマン多様体の収束 / ベクトル束ラプラシアン / 接続 / シュレーディンガー作用素 / ベクトル束 / 測度距離空間 / 変分収束 / Gromov-Hausdorff収束 / 2-調和写像 / 2―調和写像 / p-エネルギー / P-エネルギー / 理想境界 / ディリクレエネルギー有限写像 / スペクトルギャップ / 双曲埋め込み / ディクレエネルギー有限写像 / 無限ネットワーク / 容量 / 倉持コンパクト化 / p-調和関数 / p-ディリクレ和有限関数 / 測地的コンパクト化 / 放物型ハルナック不等式 / 放物的ハルナック不等式 / ハウスドルフ収束 / ハルナックの不等式 / ガウス型評価 / リー群の作用 / Riemannian manifold / heat kernel / Gromov-Hausdorff distance / spectral distance / parabolic Harnack inequality / グロモフーハウスドルフ収束 / ポアンカレ不等式 / グロモフハウスドルフ収束 / Riemannian manifolds / Laplace operators / energy forms / heat kernels / spectra / Dirichlet spaces / Gromov-Hausdorff convergence / 核関数 / リーマン距離 / 擬等長 / 合成抵抗 / 測地グラフ / kernel function / energy form / Riemannian distance / netwok / effective resistance / quasi-isometry / 非再帰的ネットワーク / 倉持境界 / ディリクレ・ノイマン写像 / モスコ型収束 / ディリクレ境界値問題 / ペロン法 / リウヴィユ性 / 大森-ヤウ型の弱最大値原理 / 非線形ポテンシャル論 / モスコ収束 / ディリクレエネルギ‐有限関数 … More
Except Principal Investigator
正則自己同型群 / 熱核 / 調和写像 / 双正則同値 / スタイン多様体 / 極小曲面 / 等質空間 / ラプラシアン / 擬等角写像 / リーマン多様体 / 位相群 / 多様体 / リッチ曲率 / シンプレクティック幾何学 / 熱方程式 / コンパクト・リー群 / タイヒミュラー空間 / リーマン面 / 正則2次微分 / 正則族 / モデュライ空間 / 写像類群 / 正則写像 / アレクサンドロフ空間 / 複素幾何学 / スペクトル / 曲率 / 極限吸収原理 / 多様体上の解析 / スカラー曲率 / 複素ユークリッド空間 / ラインハルト領域 / ラプラス作用素 / スペクトラム / ポテンシャル / 調和 / 容量 / ネットワーク / 確率論 / 幾何学 / 平均曲率流 / 結び目 / 幾何学的変分問題 / リーマン幾何学 / ヘッケ環 / Hecke algebra / automorphism group / ケ-ラ-・アインスタイン計量 / リ-マン多様体 / スピン表現 / ス-パ-微分方程式系 / 変換群 / 確率解析 / 漸近理論 / Wiener空間 / Malliavin calculus / 振動積分 / Schrodinger作用素 / 極限定理 / アインシュタイン多様体 / リ-マニアンサブマ-ション / 主ト-ラス束 / ケ-ラ-Cー空間 / アインシュタイン計量 / 左不変計量 / リーマニアンサブマーション / 主バンドル / Kuluza-Klein ansatz / naturally reductive / ベルグマン核 / ゼゲー核 / 複素モンジュ-アンペール境界値問題 / CR不変量 / ワイル不変量 / 強擬凸領域 / モーザーの漂準形 / 普遍定数 / Yang-Mills接続 / 指数的Yang-Mills接続 / 正則ディリクレ空間 / Seiberg-Witten方程式 / 擬4元数構造 / ポテンシャル論 / 複素力学系 / ノット(結び目) / 崩壊 / リッチ流 / 軌道体 / スペクトル逆問題 / 崩壊理論 / 退化 / 本質的被覆 / ソウル定理 / 変分収束理論 / 対称性 / 漸近挙動 / 安定性 / 渦 / ナヴィエ・ストークス方程式 / 非圧縮流 / 初期値問題 / ナヴィエ=ストークス方程式 / 外部領域 / 渦糸 / 渦管 / 特異摂動 / ノンコンパクト多様体 / レゾルベント / 不確実性補題 / 離散スペクトル / 真性スペクトル / 無限グラフ / 山辺不変量 / 山辺定数 / 無限遠 / 特異点 / 均衡条件 / 多重円板 / 有界対称領域 / 絶対連続性 / 平均曲率 / 極小部分多様体 / ラプラス-ベルトラミ作用素 / 固有値の非存在 / リーマン部分多様体 / ノン・コンパクト・リーマン多様体 / ラプラス・ベルトラミ作用素 / エンド / 放射曲率 / 一般複素楕円型領域 / 一般型ハルトークスの三角形 / リュービル葉層構造 / 一般ハルトークスの三角形 / 国際情報交換 / Green核 / Harnack原理 / フラクタル / Sierpinski gasket / varifold / 解析学 / 関数論 / 関数方程式論 / グラフ / Brown運動 / レブナー鎖 / 変分公式 / Riemann面 / 境界Harnack原理 / 双曲空間 / 乗数イデアル / Harnack不等式 / 除去可能特異点 / 非線形ネットワーク / Sierpinski carpet / 擬等角変形空間 / ガウス写像 / 熱半群 / 群作用 / K一群 / ホモトピー同値 / 指標 / 幾何構造 / 多様体構造 / 曲率と位相 / Geometric Structure / Manifold Structures / Curvature and Topology / 多様体の幾何学 / 大域解析学 / 複素微分幾何学 / 力学系 / 可積分系 / 巾零幾何学 / Geometry of manifolds / Global analysis / Geometric variational problem / Riemannian geometry / Complex differential geometry / Dynamical system / Symplectic geometry / Integrable system / 不動点定理 / コボルディズム / ホモトピー表現 / バーンサイド環 / レフシェッツ環 / アレクサンダー多項式 / G-sコボルディズム / G同相 / Lefachety環 / 誘導準同型 / 制限準同型 / 線型表現 / モジュライ空間 / Lefschetz環 / 埋め込み / Whitehead群 / Fixed point theorems / Cobordism / Homotopy representation / Burnside ring / Knot / Lefschetz ring / Alexander polynomial / 微分幾何学 / シンプレクテイック幾何学 / Floerホモロジー / manifold / Differential Geometry / クライン群 / タイヒミュラー・モデュラー群 / 複素多様体 / Teichmuller space / Riemann sueface / Kleinian group / quasi-conformal mapping / mapping class group / Teichmuller modular group / holomorphic mapping / harmonic mapping / トーリック多様体 / 扇 / 凸体 / 組み合せ論 / トポロジー / 同変コホモロジー / Ehrhart多項式 / 組み合わせ論 / toric variety / fan / convex polytope / combinatorics / topology / equivariant cohomology / Ehrhart polynomial / 共系変形 / 共形変形 / scalar curvature / conformal deformation / アレキサンドロフ空間 / 計量不変量 / 距離関数 / Riemannian manifolds / Alexandrov spaces / Curvatures / Metric Invariants / Distance functions / 有界領域 / 複素楕円体 / 球面型境界点 / 双曲型超曲面 / チューブ領域 / 正則同値問題 / CR同値 / bounded domain / complex ellipsoid / spherical boundary point / hyperbolic hypersurface / tube domain / equivalence problem / グリーン核 / ソボレフ不等式 / Laplace operator / heat kernel / Green kernel / spectrum / Sobolev inequality / 特異点解消 / フィルター付きブロウイングアップ / 多重種数 / 3次元端末特異点 / Gluck手術 / 代数的スタック / 局所環の位数関数 / 付随次数付き環 / フィルター付ブロウイングアップ / フリップの存存定理 / 双正則同形問題 / 4次元多様体 / Dehn手術 / resolution of singularities / filtered blowing-up / plurigenus / 3-dimensional terminal singularities / Gluck surgery / algebraic stacks / order function of local rings / associated graded rings / スタイン多様対 / holomorphically equivalent / topological group / stein manifold / dynamical system / Riemann surface / Value distribution theory / 3次元消去問題 / ホモロジ-平面 / 一般型代数曲面 / 基本群 / 3、4次元多様体 / Einstein-Kaehler / リ-マン・ロッホの定理 / 位相的可縮曲面 / ネタ-の不等式 / 対数的エンリケス曲面 / Einstein-Kaehler計量 / 位相的可縮な代数曲面 / K3曲面の非ケーラー的退化 / 絡み目の不変量 / 対称空間上の球関数 / リーマン多様体上の測地線 / コンパクト・ケーラー・アインシュタイン多様体 / ベクトル場 / 代数群の作用 / 3-dimensional cancellation problem / homology plane / algebraic surface of general type / fundamental group / manifold of dimension 3 or 4 / Einstein-Kaehler metric / Riemann-Roch theorem / ポテンシャル解析 / 函数論 / 偏微分方程式 / 変分問題 / 非線形 / 自己相似集合 / 正値解 / レブナ-方程式 / 距離空間 / 非線形変分問題 Less
  • Research Projects

    (43 results)
  • Research Products

    (67 results)
  • Co-Researchers

    (133 People)
  •  複雑領域のポテンシャル解析の深化―非線形PDEと理想境界への応用

    • Principal Investigator
      相川 弘明
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Chubu University
      Hokkaido University
  •  Geometric analysis on Kuramochi boundariesPrincipal Investigator

    • Principal Investigator
      Kasue Atsushi
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa 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
  •  Compactification of Riemannian manifolds and embeddings of graphsPrincipal Investigator

    • Principal Investigator
      Kasue Atsushi
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
  •  Characterizations of complex manifolds by means of holomorphic automorphism groups

    • Principal Investigator
      KODAMA Akio
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kanazawa University
  •  Singularities and balancing conditions on the theory of minimal surfaces and related geometric variational problems

    • Principal Investigator
      KATO Shin
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka City University
  •  A study on characterization problems of complex manifolds by means of holomorphic automorphism groups

    • Principal Investigator
      KODAMA Akio
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kanazawa University
  •  Geometry of ends, spectrum of Laplacian, scattering, and inverse problem

    • Principal Investigator
      KUMURA Hironori
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shizuoka University
  •  Convergence theory of metric measure spaces and its developmentPrincipal Investigator

    • Principal Investigator
      KASUE Atsushi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kanazawa University
  •  Geometry of manifolds at infinity and the analytic property

    • Principal Investigator
      KUMURA Hironori
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shizuoka University
  •  Invariants and balancing conditions for singularities of solutions of geometric variational problems

    • Principal Investigator
      KATO Shin
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka City University
  •  Convergence・collapsing theory of manifolds, Ricci flows and the geometry and analysis of singular spaces

    • Principal Investigator
      YAMAGUCHI Takao
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      University of Tsukuba
  •  A characterization of a complex manifold admitting an action of the direct product of unitary groups by holomorphic automorphisms

    • Principal Investigator
      KODAMA Akio
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kanazawa University
  •  対称性をもつ非圧縮粘性流の構成とその安定性の研究

    • Principal Investigator
      宮川 鉄朗
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Kanazawa University
  •  Convergence of metric measure spaces and energy formsPrincipal Investigator

    • Principal Investigator
      KASUE Atsushi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Kanazawa University
  •  Filtered blowing-up of singularities and algebraic geometric properties of tangent cone

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
      Kanazawa University
  •  A characterization of the complex Euclidean space by its holomorphic automorphism group

    • Principal Investigator
      KODAMA Akio
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kanazawa University
  •  Geometry of the Laplace operator

    • Principal Investigator
      KUMURA Hironori
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Shizuoka University
  •  Relations between space-structures and curvatures

    • Principal Investigator
      SAKAI Takashi
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      OKAYAMA UNIVERSITY
  •  A study on the structure of complex ellipsoids

    • Principal Investigator
      KODAMA Akio
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kanazawa University
  •  Convergence of Riemannian manifolds and Laplace operatorsPrincipal Investigator

    • Principal Investigator
      KASUE Atsushi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kanazawa University
      Osaka City University
  •  Topological research of the theory of toric varieties

    • Principal Investigator
      MASUDA Mikiya
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  Geometric structure of complete Riemannian manifolds and the scalar curvature equation

    • Principal Investigator
      KATO Shin
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka City University
  •  接続計量の幾何学と確率過程Principal Investigator

    • Principal Investigator
      加須栄 篤
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  Teichmuller Spaces and Mapping Class Groups

    • Principal Investigator
      IMAYOSHI Yoichi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (B).
    • Research Field
      Global analysis
    • Research Institution
      Osaka City University
  •  正則2次微分とタイヒミュラー空間

    • Principal Investigator
      IMAYOSHI Yoichi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      解析学
    • Research Institution
      Osaka City University
  •  Harnack's Inequality in Riemannian GeometryPrincipal Investigator

    • Principal Investigator
      KASUE Atsushi
    • Project Period (FY)
      1997 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University, Department of Methematics
  •  リッチ曲率の幾何学と大域解析学Principal Investigator

    • Principal Investigator
      加須栄 篤
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  幾何学に現われる非線形方程式の総合的研究

    • Principal Investigator
      URAKAWA Hajime
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  リーマン多様体の収束とディリクレ空間Principal Investigator

    • Principal Investigator
      加須栄 篤
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka City University
  •  Differential Geometric Reserch on Manifolds

    • Principal Investigator
      KENMOTSU Katsuei
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  熱核とリーマン多様体の収束Principal Investigator

    • Principal Investigator
      加須栄 篤
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  主バンドル上のアインシュタイン計量の研究

    • Principal Investigator
      坂根 由昌
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  強擬凸領域における再生核の族の漸近解析

    • Principal Investigator
      小松 玄
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka University
  •  Geometry of Manifolds and Global Analysis

    • Principal Investigator
      NISHIKAWA Seiki
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Fixed point theorems and cobordism

    • Principal Investigator
      KAWAKUBO Katsuo
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Osaka University
  •  リーマン多様体の崩壊理論とスペクトル幾何Principal Investigator

    • Principal Investigator
      加須栄 篤
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  アインシュタイン多様体の研究

    • Principal Investigator
      坂根 由昌
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  多様体の多面的研究

    • Principal Investigator
      MURAKAMI Shingo
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  確率解析と漸近理論の諸問題

    • Principal Investigator
      池田 信行
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Osaka University
  •  Geometric Structures and Manifold Structures

    • Principal Investigator
      SAKAI Takashi
    • Project Period (FY)
      1989 – 1990
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      Okayama University
  •  Problems surrounding manifolds

    • Principal Investigator
      MIYANISHI Masayoshi
    • Project Period (FY)
      1988 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University
  •  群作用と力学系の研究

    • Principal Investigator
      中岡 稔
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Osaka University

All 2020 2019 2017 2016 2015 2012 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] ベクトル解析2019

    • Author(s)
      加須栄篤
    • Total Pages
      206
    • Publisher
      共立出版
    • ISBN
      9784320111851
    • Data Source
      KAKENHI-PROJECT-16K05124
  • [Book] 測度距離空間の幾何解析-リプシッツ関数の微分を中心に- "リーマン多様体とその極限"2004

    • Author(s)
      加須栄 篤, 大津・山口, ほか
    • Total Pages
      110
    • Publisher
      日本数学会
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340053
  • [Book] リーマン多様体とその極限(数学メモアール第3巻)2004

    • Author(s)
      深谷, 加須栄 他
    • Total Pages
      383
    • Publisher
      日本数学会
    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Resolutive ideal boundaries of nonlinear resistive networks2020

    • Author(s)
      Kasue, Atsushi
    • Journal Title

      Positivity

      Volume: 24 Pages: 151-196

    • DOI

      10.1007/s11117-019-00672-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01092, KAKENHI-PROJECT-16K05124
  • [Journal Article] Convergence of Dirichlet forms induced on boundaries of transient networks2017

    • Author(s)
      Atsushi Kasue
    • Journal Title

      Potential Anal

      Volume: 47 Pages: 189-233

    • DOI

      10.1007/s11118-017-9613-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05124, KAKENHI-PROJECT-17H01092
  • [Journal Article] A. Thomson's principle and a Rayleigh's monotonicity law on nonlinear networks2016

    • Author(s)
      A. Kasue
    • Journal Title

      Potential Analysis

      Volume: 45 Pages: 655-701

    • DOI

      10.1007/s11118-016-9562-1

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25287015, KAKENHI-PROJECT-16K05124
  • [Journal Article] Expansion constants and hyperbolic embeddings of finite graphs2015

    • Author(s)
      T. Hattori and A. Kasue
    • Journal Title

      Mathematika

      Volume: 61 Pages: 1-13

    • DOI

      10.1112/s0025579314000254

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24540072, KAKENHI-PROJECT-25287015
  • [Journal Article] Spectral convergence of Riemannian vector bundles2012

    • Author(s)
      Kasue, A.
    • Journal Title

      The Science Reports of Kanazawa University

      Volume: (掲載確定)

    • NAID

      120003989034

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540169
  • [Journal Article] Functions with finite Dirichlet sum of order p and quasi-monomorphisms of infinite graphs2012

    • Author(s)
      Tae Hattori and Atsushi Kasue
    • Journal Title

      Nagoya Math. J.

      Volume: 207 Pages: 95-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540072
  • [Journal Article] Functions with finite Dirichlet sums of order p and quasimonomorphisms of infinite graphs2012

    • Author(s)
      Hattori, T., and Kasue, A.
    • Journal Title

      Nagoya Math. J.

      Volume: 207(掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540169
  • [Journal Article] Functions of finite Dirichlet sums and compactifications of infinite graphs2010

    • Author(s)
      T.Hattori, A.Kasue
    • Journal Title

      Advanced Studies in Pure Mathematics 57

      Pages: 141-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Journal Article] Functions of finite Dirichlet sums and compactifications of infinite graphs, Advanced Studies in Pure Math.2010

    • Author(s)
      T. Hattori, A. Kasue
    • Journal Title

      Probabilistic Approach to geometry 57

      Pages: 141-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Journal Article] Convergence of metric graphs and energy forms2010

    • Author(s)
      A.Kasue
    • Journal Title

      Rev.Mat.Iberoamericana 26

      Pages: 367-448

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Journal Article] Convergence of metricgraphs and energy forms2010

    • Author(s)
      Kasue, A.
    • Journal Title

      Revista Matematica Iberoamericana

      Volume: 26 Pages: 367-448

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540169
  • [Journal Article] Functions of finite Dirichlet sums and compactifications of infinite graphs2010

    • Author(s)
      Hattori, T. and Kasue, A.
    • Journal Title

      Advanced Studies in Pure Math.

      Volume: 57 Pages: 144-153

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540169
  • [Journal Article] Convergence of metric graphs and energy forms2010

    • Author(s)
      A. Kasue
    • Journal Title

      Revista Matematicae Iberoamericana 40600

      Pages: 367-448

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Journal Article] Functions of finite Dirichlet sums and compactifications of infinite graphs2009

    • Author(s)
      T. Hattori, A. Kasue
    • Journal Title

      Advanced studies in Pure Mathemat ics (未定)掲載確定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Journal Article] Dirichlet finite harmonic functions and points at infinity of graphs and manifolds2007

    • Author(s)
      Hattori, Tae ; Kasue, Atsushi,
    • Journal Title

      Proc. Japan Acad. Ser. A Math. Sci 83

      Pages: 129-134

    • NAID

      40015669757

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Dirichlet finite harmonic functions and points at infinity of graphs and manifolds2007

    • Author(s)
      T. Hattori, A. Kasue
    • Journal Title

      Proc.Japan Acad 83

      Pages: 129-134

    • NAID

      40015669757

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540212
  • [Journal Article] Dirichlet finite harmonic functions and points at infinity of graphs and manifolds.2007

    • Author(s)
      Hattori, Tae; Kasue, Atsushi
    • Journal Title

      Proc. Japan Acad. Ser. A Math. Sci. 83

      Pages: 129-134

    • NAID

      40015669757

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Dirichlet finite harmonic functions and points at infinity of graphs and manifolds2007

    • Author(s)
      Tae Hattori and A. Kasue
    • Journal Title

      Proc. Japan Acad 83

      Pages: 129-134

    • NAID

      40015669757

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540212
  • [Journal Article] Dirichlet finite harmonic functions and points at infinity of graphs and manifolds2007

    • Author(s)
      T. Hattori and A. Kasue
    • Journal Title

      Proc. Japan Acad. Ser. A Math. Sci 83(2007), no.7

      Pages: 129-134

    • NAID

      40015669757

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Journal Article] Dirichlet finite harmonic functions and points at infinity of graphs and manifolds2007

    • Author(s)
      T. Hattori-A. Kasue
    • Journal Title

      Proc. Japan Acad. Ser. A 83

      Pages: 129-134

    • NAID

      40015669757

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Journal Article] Dirichlet finite harmonic functions and points at infinity of graphs and manifolds2007

    • Author(s)
      T. Hattori, A. Kasue
    • Journal Title

      Proc. Japan Acad. 83Ser.A

      Pages: 129-134

    • NAID

      40015669757

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Journal Article] Convergence of Riemannian manifolds and Laplace operators, II2006

    • Author(s)
      Atsushi Kasue
    • Journal Title

      Potential Analysis (to appear)

    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Convergence of Riemannian manifolds and Laplace operators II2006

    • Author(s)
      Atsushi Kasue
    • Journal Title

      Potential Analysis (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Convergence of Riemannian manifolds and Laplace operators2006

    • Author(s)
      A. Kasue
    • Journal Title

      II, Potential Anal 24(2006), no, 2

      Pages: 137-194

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Journal Article] Convergence of metric measure spaces and energy forms2006

    • Author(s)
      Atsushi Kasue
    • Journal Title

      Amer.Math.Soc.Translations Ser.2 215

      Pages: 79-96

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Variational convergence of finite networks2006

    • Author(s)
      加須栄 篤
    • Journal Title

      Interdisciplinary Information Sciences 12

      Pages: 57-70

    • NAID

      110004321831

    • Data Source
      KAKENHI-PROJECT-18540212
  • [Journal Article] Variational convergence of finite networks2006

    • Author(s)
      Atsushi Kasue
    • Journal Title

      Interdisciplinary Information Sciences (To appear)

    • NAID

      110004321831

    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Variational Convergence of Finite Networks,2006

    • Author(s)
      A.Kasue
    • Journal Title

      Interdisciplinary Information Science 12/1

      Pages: 57-70

    • NAID

      110004321831

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Convergence of Riemannian manifolds and Laplace operators. II2006

    • Author(s)
      Kasue, Atsushi
    • Journal Title

      Potential Anal. 24

      Pages: 137-194

    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Variational convergence of finite networks2006

    • Author(s)
      Atsushi Kasue
    • Journal Title

      Interdisciplinary Information Sciences 12・1

      Pages: 57-70

    • NAID

      110004321831

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Convergence of Riemannian manifolds and Laplace operators, II2006

    • Author(s)
      加須栄 篤
    • Journal Title

      Potential Analysis 24

      Pages: 137-194

    • Data Source
      KAKENHI-PROJECT-18540212
  • [Journal Article] Variational convergence of finite networks2006

    • Author(s)
      Kasue, Atsushi
    • Journal Title

      Interdiscip. Inform. Sci. 12

      Pages: 57-70

    • NAID

      110004321831

    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Convergence of Riemannian manifolds and Laplace operators. II2006

    • Author(s)
      Kasue, Atsushi
    • Journal Title

      Potential Anal 24

      Pages: 137-194

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Variational convergence of finite networks, Interdiscip2006

    • Author(s)
      A. Kasue
    • Journal Title

      Inform. Sci 12(2006), no, 1

      Pages: 57-70

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Journal Article] Convergence of Riemannian manifolds and Laplace operators, II2006

    • Author(s)
      A. Kasue
    • Journal Title

      Potential Analysis 24

      Pages: 137-194

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540212
  • [Journal Article] Variational convergence of finite networks2006

    • Author(s)
      Kasue, Atsushi
    • Journal Title

      Interdiscip. Inform. Sci 12no. 1

      Pages: 57-70

    • NAID

      110004321831

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Journal Article] Convergence of metric measure spaces and energy forms2005

    • Author(s)
      Atsushi Kasue
    • Journal Title

      Amer.Math.Soc.Translations Ser,2 215

      Pages: 79-96

    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Convergence of Riemannian manifolds and Laplace operators, II2005

    • Author(s)
      Atsushi Kasue
    • Journal Title

      Potential Analysis (掲載予定)

    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Convergence of metric measure spaces and energy forms2005

    • Author(s)
      A.Kasue
    • Journal Title

      Amer.Math.Soc.Transl. (2)215

      Pages: 79-96

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Convergence of metric measure spaces and energy forms, Selected papers on differential equations and analysis, 79--96, Amer. Math. Soc. Transl. Ser. 2, 215, Amer. Math. Soc2005

    • Author(s)
      A. Kasue
    • Journal Title

      Providence, RI

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Journal Article] 測度距離空間の収束とエネルギー形式2003

    • Author(s)
      加須栄 篤
    • Journal Title

      数学(日本数学会編集) 55・1

      Pages: 20-36

    • NAID

      10013701445

    • Data Source
      KAKENHI-PROJECT-15340053
  • [Journal Article] Convergence of Riemannian manifolds and Laplace operators, II,

    • Author(s)
      A.Kasue
    • Journal Title

      Potential Analysis (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340053
  • [Presentation] 非線形抵抗ネットワークのラプラス作用素に関するLiouville 型定理2019

    • Author(s)
      加須栄篤
    • Organizer
      月曜解析セミナー・北海道大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05124
  • [Presentation] 非線形抵抗ネットワークのラプラス作用素に関するLiouville 型定理2019

    • Author(s)
      加須栄篤
    • Organizer
      月曜解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Convergence of Dirichlet forms induced on boundaries of nonparabolic weighted Riemannian manifolds2017

    • Author(s)
      Atsushi Kasue
    • Organizer
      Dirichlet forms and their geometry
    • Place of Presentation
      Tohoku University GSIS
    • Year and Date
      2017-03-18
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05124
  • [Presentation] Dirichlet fnite p-harmonic functions on graphs and manifolds2017

    • Author(s)
      Atsushi Kasue
    • Organizer
      Global properties in potential theory of continuous and discrete spaces
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05124
  • [Presentation] Kuramochi boundaries of transient networks2015

    • Author(s)
      Atsushi Kasue
    • Organizer
      Topics in Differential Geometry and its discretizations
    • Place of Presentation
      東北大学(仙台)
    • Year and Date
      2015-01-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-25287015
  • [Presentation] 双曲空間へのグラフの埋込みについて2012

    • Author(s)
      加須栄篤
    • Organizer
      「リーマン面・不連続群論」研究集会
    • Place of Presentation
      名古屋大学(愛知県)
    • Year and Date
      2012-01-08
    • Data Source
      KAKENHI-PROJECT-21540169
  • [Presentation] ランダムウォークとディリクレ有限写像2010

    • Author(s)
      加須栄篤
    • Organizer
      測地線及び関連する諸問題
    • Place of Presentation
      熊本大学教育学部(熊本県)
    • Year and Date
      2010-01-09
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Presentation] ランダムウォークとディリクレ有限写像2010

    • Author(s)
      加須栄篤
    • Organizer
      リーマン幾何と幾何解析
    • Place of Presentation
      筑波大学自然系学系(茨城県)
    • Year and Date
      2010-02-19
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Presentation] ネットワークの有効抵抗と収束2009

    • Author(s)
      加須栄篤
    • Organizer
      第6回離散幾何解析セミナー
    • Place of Presentation
      京都大学理学部(京都府)
    • Year and Date
      2009-07-03
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Presentation] Functions of finite Dirichlet sum and compactifications of infinite graphs2008

    • Author(s)
      A. Kasue
    • Organizer
      The 1^<st> MSJ-SI, Probabilistic Approach to Geometry, Kyoto
    • Place of Presentation
      京都
    • Year and Date
      2008-07-28
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Presentation] Harmonic Functions of finite Dirichlet integrals, The 4th Geometry Conference for the Friendship of China and Japan2008

    • Author(s)
      加須栄篤
    • Organizer
      Chern Institute of Mathematics, Nankai University
    • Place of Presentation
      Tianjin, China
    • Data Source
      KAKENHI-PROJECT-18540212
  • [Presentation] Functions of finite Dirichlet sums and compactifications of infinite graphs2008

    • Author(s)
      A. Kasue
    • Organizer
      The 1^<st> MSJ-SI, Probabilistic Approach to Geometry
    • Place of Presentation
      京都大学
    • Year and Date
      2008-08-06
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Presentation] Harmonic Functions of finite Dirichlet integrals, The 4th Geometry Conference for the Friendship of China and Japan2008

    • Author(s)
      A. Kasue
    • Organizer
      Chern Institute of Mathematics
    • Place of Presentation
      Nankai University, Tianjin, China
    • Year and Date
      2008-12-22
    • Data Source
      KAKENHI-PROJECT-17540153
  • [Presentation] Functions of finite Dirichlet sum and compactifications of infinite graphs2008

    • Author(s)
      A. Kasue
    • Organizer
      The 1st MSJ-SI, Probabilistic Approach to Geometry
    • Place of Presentation
      京都大学(京都府)
    • Year and Date
      2008-08-06
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Presentation] Functions of finite Dirichlet sum and compactifications of infinite graphs,The 1st MSJ-SI2008

    • Author(s)
      A.Kasue
    • Organizer
      Probabilistic Approach to Geometry
    • Place of Presentation
      Kyoto
    • Data Source
      KAKENHI-PROJECT-17204003
  • [Presentation] Harmonic functions of finite Dirichlet integrals2008

    • Author(s)
      A. Kasue
    • Organizer
      The 4^<th> Geometry Conference for the Friendship of China and Japan
    • Place of Presentation
      Chern Institute of Mathematics, Nankai Univ. Tianjin China
    • Year and Date
      2008-12-25
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Presentation] Harmonic Functions of finite Dirichlet integrals, The 4th Geometry Conference for the Friendship of China and Japan2008

    • Author(s)
      A. Kasue
    • Organizer
      Chern Institute of Mathematics, Nankai University, Tianjin
    • Place of Presentation
      China
    • Year and Date
      2008-12-24
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Presentation] Functions of finite Dirichlet sum and compactifications of infinite graphs2008

    • Author(s)
      加須栄篤
    • Organizer
      The 1st MSJ-SI, Probabilistic Approach to Geometry
    • Place of Presentation
      Kyoto, July
    • Data Source
      KAKENHI-PROJECT-18540212
  • [Presentation] (1) Covergence of metric graphs and energy forms, (2) Dirichlet finite harmonic functions and points at infinity of graphs and manifolds, Workshop: Variational problems2007

    • Author(s)
      A. Kasue
    • Organizer
      Geometry and Global Analysis
    • Place of Presentation
      東北大学情報科学研究科(宮城県)
    • Data Source
      KAKENHI-PROJECT-19204004
  • [Presentation] グラフの埋込みとレイリーの単調性法則

    • Author(s)
      加須栄篤
    • Organizer
      2012 日本数学会 秋季総合分科会
    • Place of Presentation
      九州大学伊都キャンパス
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540072
  • [Presentation] 無限ネットワーク上のランダムウォークと倉持境界

    • Author(s)
      加須栄篤
    • Organizer
      第55回関数論シンポジウム
    • Place of Presentation
      金沢大学サテライトプラザ
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540072
  • [Presentation] Kuramochi boundaries of transient networks

    • Author(s)
      Atsushi Kasue
    • Organizer
      Topics in Differential Geometry and its discretizations
    • Place of Presentation
      WPI-AIMR, 東北大学
    • Year and Date
      2015-01-10 – 2015-01-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540072
  • 1.  KUMURA Hironori (30283336)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 2.  KATO Shin (10243354)
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    # of Collaborated Products: 0 results
  • 3.  SAKANE Yusuke (00089872)
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    # of Collaborated Products: 0 results
  • 4.  IMAYOSHI Yoichi (30091656)
    # of Collaborated Projects: 6 results
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  • 5.  HASHIMOTO Yoshitake (20271182)
    # of Collaborated Projects: 6 results
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  • 6.  KODAMA Akio (20111320)
    # of Collaborated Projects: 6 results
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  • 7.  NOGUCHI Junjiro (20033920)
    # of Collaborated Projects: 6 results
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  • 133.  張 徳祺
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