KAJINO Naotaka 梶野直孝

Researcher Number	90700352
Other IDs
Affiliation (Current)	2025: 京都大学, 数理解析研究所, 准教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 京都大学, 数理解析研究所, 准教授 2016 – 2020: 神戸大学, 理学研究科, 准教授 2017: 神戸大学, 大学院理学研究科, 准教授 2015 – 2016: 神戸大学, 理学(系)研究科(研究院), 准教授 2015: 神戸大学, 大学院理学研究科, 准教授 2013 – 2014: 神戸大学, 理学(系)研究科(研究院), 助教
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Basic analysis / Medium-sized Section 12:Analysis, applied mathematics, and related fields Except Principal Investigator Basic analysis / Basic Section 12010:Basic analysis-related / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 劣ガウス型熱核評価 / ラプラシアン / ポテンシャル論 / フラクタル上の確率熱方程式 / フラクタル上の確率過程 / フラクタル上のポテンシャル論 / Klein群の極限集合 / フラクタル / Liouville Brown運動 / 熱核 … More / アポロニウスの詰め込み / 測度論的リーマン構造 / 固有値漸近挙動 / フラクタル解析 / 離散群上のランダムウォーク / ランダム媒質中の確率過程 / 2次元一般化Sierpinski carpet / ランダムウォーク / スケール極限 / フラクタル上のp-エネルギー形式 / 反射壁拡散過程の境界へのトレース過程 / 調和測度 / （劣）ガウス型熱核評価 / 自己等角フラクタル / ランダムフラクタル / フラクタル幾何学 / 自由エネルギー / ランダム媒質中のディレクティドポリマー / 双曲群 / 測度のマルチフラクタル解析 / 曲面群 / 乗法型確率熱方程式 / 調和関数 / 3次元一様全域木 / 3次元ループ除去ランダムウォーク / 群上の調和解析 / ランダム環境中のディレクティドポリマー / ウォーク次元 / エネルギー測度 / フラクタル上の解析学 / 擬等角写像 / Klein群の擬等角変形 / 複素力学系のJulia集合 / 自己等角フラクタル曲線 / Sierpinski carpet / Weyl型固有値漸近挙動 / 拡散過程 / 劣Gauss型評価 / Dirichlet形式 / Apollonian gasket / リウヴィルブラウン運動 / クライン群 / 円詰込フラクタル / 国際研究者交流（アメリカ） / 国際研究者交流（ドイツ，イギリス） / コンヌのトレース定理 / ディリクレ形式 … More Except Principal Investigator フラクタル / ラプラシアン / 熱核 / 距離空間 / 解析学 / 拡散過程 / 自己相似集合 / 力学系 / Dirichlet form / 特異空間上の幾何解析 / ファインマン・カッツの公式 / 測度距離空間上の解析 / 幾何解析 / マルコフ過程 / ラフパス解析 / 飛躍型マルコフ過程 / 無限次元空間上の確率解析 / 測度距離空間 / 無限次元確率解析 / 特異空間上の拡散過程 / 測度距離空間上の幾何解析 / エルゴード定理 / 準定常分布 / 測度空間上の確率解析 / ディリクレ形式 / 対称マルコフ過程 / 等角次元 / Harnack 不等式 / 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 / 複素力学系 / 確率過程 / タイリング / 間隙列 / 一様分布論 / 間隙級数 / 経験分布過程 / lacunary sequence / discrepancy / uniform distribution / 重複対数の法則 / 等比数列 / 差異量 / 一様分布 / 確率論 Less

Analysis, geometry and their interplays on fractals and stochastic processes on themPrincipal Investigator
- Principal Investigator
  
  梶野直孝
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kyoto University
Study of Analysis and Geometry of complex spaces
- 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
Analysis of Laplacians on fractals invariant under action of discrete groups of Moebius transformationsPrincipal Investigator
- Principal Investigator
  
  KAJINO Naotaka
- Project Period (FY)
  2018 – 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
  Kobe University
Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpointsPrincipal Investigator
- Principal Investigator
  
  KAJINO Naotaka
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Kyoto University
  Kobe University
Relation between structure of spaces and analysis
- 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
Mathematical analysis of differential operators derived from singular geometric structures and their probabilistic counterpartsPrincipal Investigator
- Principal Investigator
  
  KAJINO Naotaka
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Relation between algebra, geometry and analysis on fractals
- 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 fractals
- 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 analysis of Markov processes by Dirichlet forms and its applications
- Principal Investigator
  
  Takeda Masayoshi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Developments of geometry and analysis for measurable Riemannian structures on fractalsPrincipal Investigator
- Principal Investigator
  
  KAJINO Naotaka
- Project Period (FY)
  2013 – 2014
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Basic analysis
- Research Institution
  Kobe University
Randomness in number theory
- Principal Investigator
  
  Fukuyama Katusi
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kobe University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 Other

All Journal Article Presentation

[Journal Article] An elementary proof that walk dimension is greater than two for Brownian motion on Sierpinski carpets2023
- Author(s)
  Naotaka Kajino
- Journal Title
  
  Bulletin of the London Mathematical Society
  
  Volume: 55 Issue: 1 Pages: 508-521
- DOI
  10.1112/blms.12742
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01123
[Journal Article] On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions2023
- Author(s)
  N. Kajino and M. Murugan
- Journal Title
  
  Invent. Math.
  
  Volume: 231 Issue: 1 Pages: 263-405
- DOI
  10.1007/s00222-022-01148-3
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21H00989, KAKENHI-PROJECT-18H01123
[Journal Article] On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates II: Some borderline examples2022
- Author(s)
  Naotaka Kajino
- Journal Title
  
  Springer Proceedings in Mathematics & Statistics
  
  Volume: 394 Pages: 223-251
- DOI
  10.1007/978-981-19-4672-1_13
- ISBN
  9789811946714, 9789811946721
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01123
[Journal Article] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues: A survey of the analytic aspects2021
- Author(s)
  Naotaka Kajino
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 87 Pages: 293-314
- DOI
  10.2969/aspm/08710293
- ISBN
  9784864970952
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K18720
[Journal Article] On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates2020
- Author(s)
  Naotaka Kajino and Mathav Murugan
- Journal Title
  
  The Annals of Probability
  
  Volume: 48 Issue: 6 Pages: 2920-2951
- DOI
  10.1214/20-aop1440
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Journal Article] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formul2017
- Author(s)
  A. Grigor'yan and N. Kajino
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: Not available
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287017
[Journal Article] Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions2016
- Author(s)
  S. Andres and N. Kajino
- Journal Title
  
  Probability Theory and Related Fields
  
  Volume: Not available Issue: 3-4 Pages: 713-752
- DOI
  10.1007/s00440-015-0670-4
- NAID
  120005971355
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287017
[Presentation] On singularity of p-energy measures among distinct values of p for some p.-c.f. self-similar sets2024
- Author(s)
  Naotaka Kajino
- Organizer
  Analysis on fractals and networks, and applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] On singularity of p-energy measures among distinct values of p for some p.-c.f. self-similar sets2024
- Author(s)
  Naotaka Kajino
- Organizer
  Seminaire de Probabilites commun ICJ/UMPA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] On singularity of p-energy measures among distinct values of p for some p.-c.f. self-similar sets2024
- Author(s)
  Naotaka Kajino
- Organizer
  UBC Probability Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] フラクタル上の拡散過程の共形変形がGauss型熱核評価を満たし得ないことについて2024
- Author(s)
  梶野直孝
- Organizer
  多分野交流会
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] Sharp Hoelder regularity estimates of harmonic functions for p-resistance forms2024
- Author(s)
  梶野直孝
- Organizer
  無限粒子系、確率場の諸問題 XVIII
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] Geometric Laplacians on self-conformal fractal curves in the plane2024
- Author(s)
  Naotaka Kajino
- Organizer
  French Japanese Conference on Probability & Interactions
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] Impossibility of quasisymmetric Gaussian uniformization via decay rates of harmonic functions for Brownian motion on some planar Sierpinski carpets2023
- Author(s)
  Naotaka Kajino
- Organizer
  Geometric and stochastic analysis on metric spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] Two-sided bounds on tail probabilities of the number of collisions of random walks2023
- Author(s)
  Naotaka Kajino
- Organizer
  Seminar "Interacting Random Systems" at Weierstrass Institute for Applied Analysis and Stochastics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] Energy measures on fractals: old results and recent progress2023
- Author(s)
  Naotaka Kajino
- Organizer
  RIMS共同研究（公開型）「確率過程とその周辺」(Stochastic Processes and Related Fields)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] Geometric Laplacians on self-conformal fractal curves in the plane2023
- Author(s)
  Naotaka Kajino
- Organizer
  Random Interacting Systems, Scaling Limits, and Universality - Week 3: Workshop on Random Interacting Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] 共形walk次元：値の普遍性，および高次元Sierpinski gasketと2次元Sierpinski carpetsにおける達成不可能性2023
- Author(s)
  梶野直孝
- Organizer
  神戸大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] Impossibility of quasisymmetric Gaussian uniformization, via decay rates of harmonic functions, for Brownian motion on some planar Sierpinski carpets2023
- Author(s)
  Naotaka Kajino
- Organizer
  Potential theory and random walks in metric spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] On singularity of p-energy measures among distinct values of p on some p.-c.f. self-similar sets2023
- Author(s)
  梶野直孝
- Organizer
  2023年度確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] Impossibility of quasisymmetric Gaussian uniformization via decay rates of harmonic functions for Brownian motion on some planar Sierpinski carpets2023
- Author(s)
  Naotaka Kajino
- Organizer
  11th International Conference on Stochastic Analysis and its Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] 1次元単純ランダムウォークとの比較によるSierpinski carpet上の調和関数の減衰評価2023
- Author(s)
  梶野直孝
- Organizer
  無限粒子系、確率場の諸問題XVII
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] 共形walk次元：値の普遍性，および高次元Sierpinski gasketと2次元Sierpinski carpetsにおける達成不可能性2023
- Author(s)
  梶野直孝
- Organizer
  九州確率論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] Impossibility of quasisymmetric Gaussian uniformization, via decay rates of harmonic functions, for Brownian motion on some planar Sierpinski carpets2023
- Author(s)
  Naotaka Kajino
- Organizer
  RIMS共同研究（公開型）"Analysis, Geometry and Stochastics on Metric Spaces"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K22399
[Presentation] Quasisymmetric Gaussian uniformization is impossible for Brownian motion on the Sierpi\'{n}ski carpet2022
- Author(s)
  Naotaka Kajino
- Organizer
  Open Japanese-German conference on stochastic analysis and applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates II: Some borderline examples2022
- Author(s)
  梶野直孝
- Organizer
  2022年度日本数学会秋季総合分科会・統計数学分科会
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates2022
- Author(s)
  Naotaka Kajino
- Organizer
  7th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] Quasisymmetric Gaussian uniformization is impossible for Brownian motion on the Sierpinski carpet2022
- Author(s)
  Naotaka Kajino
- Organizer
  International Workshop on Dirichlet Forms and Related Topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] Quasisymmetric Gaussian uniformization is impossible for Brownian motion on the Sierpinski carpet2022
- Author(s)
  Naotaka Kajino
- Organizer
  Heat Kernels, Stochastic Processes and Functional Inequalities
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] Conformal walk dimension: its universal value and the non-attainment for the Sierpinski carpet2022
- Author(s)
  Naotaka Kajino
- Organizer
  Smooth Functions on Rough Spaces and Fractals with Connections to Curvature Functional Inequalities
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] Sub-Gaussian heat kernel bounds and singularity of energy measures for symmetric diffusions2022
- Author(s)
  Naotaka Kajino
- Organizer
  OIST Analysis on Metric Spaces Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] ランダムウォークの衝突回数の末尾確率に対する上下評価2021
- Author(s)
  梶野直孝
- Organizer
  無限粒子系、確率場の諸問題XVI
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues2021
- Author(s)
  Naotaka Kajino
- Organizer
  Topology and Dynamics Seminar at the University of Birmingham
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] An elementary proof of walk dimension being greater than two for Brownian motion on Sierpinski carpets2021
- Author(s)
  梶野直孝
- Organizer
  2021年度日本数学会年会・統計数学分科会
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] On the conformal walk dimension II: Non-attainment for some Sierpinski carpets2021
- Author(s)
  梶野直孝
- Organizer
  2021年度確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] Conformal walk dimension: its universal value and the non-attainment for the Sierpinski carpet2021
- Author(s)
  Naotaka Kajino
- Organizer
  Pacific Workshop on Probability and Statistical Physics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] A bridge between elliptic and parabolic Harnack inequalities2020
- Author(s)
  梶野直孝
- Organizer
  RIMS共同研究（公開型）「2020年度確率論シンポジウム」
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] Sub-Gaussian heat kernel bounds imply singularity of energy measures2020
- Author(s)
  Naotaka Kajino
- Organizer
  International Conference: ``Bernoulli-IMS One World Symposium 2020''
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] Tail probability estimates for the collision number of recurrent random walks with on-diagonal heat kernel upper bounds2020
- Author(s)
  梶野　直孝
- Organizer
  研究集会「無限粒子系、確率場の諸問題XV」
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues2019
- Author(s)
  Naotaka Kajino
- Organizer
  The 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI): Stochastic Analysis, Random Fields and Integrable Probability
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] Sub-Gaussian heat kernel bounds imply singularity of energy measures2019
- Author(s)
  Naotaka Kajino
- Organizer
  International Conference on Analysis and PDEs on Manifolds and Fractals
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues2019
- Author(s)
  Naotaka Kajino
- Organizer
  Research on the Theory of Random Dynamical Systems and Fractal Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] Analysis of diffusions on self-similar and round Sierpinski carpets2019
- Author(s)
  Naotaka Kajino
- Organizer
  Okayama Workshop on Stochastic Analysis 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues2019
- Author(s)
  梶野　直孝
- Organizer
  第62回函数論シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] The Laplacian and Weyl's eigenvalue asymptotics on round Sierpinski carpets realized as the limit sets of certain Kleinian groups2019
- Author(s)
  梶野　直孝
- Organizer
  2018年度リーマン面・不連続群論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] Sub-Gaussian heat kernel bounds imply singularity of energy measures2019
- Author(s)
  N. Kajino
- Organizer
  International Conference on Analysis and PDEs on Manifolds and Fractals
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17H02849
[Presentation] Sub-Gaussian heat kernel bounds imply singularity of energy measures2019
- Author(s)
  Naotaka Kajino
- Organizer
  Japanese-German Open Conference on Stochastic Analysis 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] Sub-Gaussian heat kernel bounds imply singularity of energy measures2019
- Author(s)
  梶野　直孝
- Organizer
  2019年度確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-18H01123
[Presentation] The Laplacian on some round Sierpinski carpets and Weyl's asymptotics for its eigenvalues2019
- Author(s)
  梶野　直孝
- Organizer
  2018年度冬の力学系研究集会
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] The Laplacian on some round Sierpinski carpets and Weyl's asymptotics for its eigenvalues2019
- Author(s)
  梶野　直孝
- Organizer
  2019年度日本数学会年会・幾何学分科会
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups2018
- Author(s)
  梶野直孝
- Organizer
  2018年度日本数学会年会・函数論分科会
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on some round Sierpinski carpets and Weyl's asymptotics for its eigenvalues2018
- Author(s)
  梶野　直孝
- Organizer
  2018年度確率論シンポジウム
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] The Laplacian on some round Sierpinski carpets and Weyl's asymptotics for its eigenvalues2018
- Author(s)
  梶野　直孝
- Organizer
  2018年度エルゴード理論とその周辺
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] The Laplacian on some round Sierpinski carpets and Weyl's asymptotics for its eigenvalues2018
- Author(s)
  Naotaka Kajino
- Organizer
  9th International Conference on Stochastic Analysis and Its Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] The Laplacian on some round Sierpinski carpets and Weyl's asymptotics for its eigenvalues2018
- Author(s)
  Naotaka Kajino
- Organizer
  Fractal Geometry and Stochastics 6
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K18720
[Presentation] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups2017
- Author(s)
  Naotaka Kajino
- Organizer
  Potential Analysis and its Related Fields 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups2017
- Author(s)
  Naotaka Kajino
- Organizer
  Japanese-German Open Conference on Stochastic Analysis 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on self-conformal circle packing fractals: from ergodic theory to Weyl's eigenvalue asymptotics2017
- Author(s)
  梶野直孝
- Organizer
  エルゴード理論とその周辺
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups2017
- Author(s)
  Naotaka Kajino
- Organizer
  6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on some finitely ramified self-conformal circle packing fractals and Weyl's asymptotics for its eigenvalues2017
- Author(s)
  Naotaka Kajino
- Organizer
  One day workshop on stochastic differential geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] Weyl's eigenvalue asymptotics for the Laplacian on the Apollonian gasket and on circle packing limit sets of certain Kleinian groups2017
- Author(s)
  Naotaka Kajino
- Organizer
  Dirichlet forms and their geometry
- Place of Presentation
  東北大学情報科学研究科
- Year and Date
  2017-03-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] 円詰込フラクタル上のLaplacianとその固有値に対するWeylの漸近公式2017
- Author(s)
  梶野直孝
- Organizer
  東北大学数学教室談話会
- Invited
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups2017
- Author(s)
  Naotaka Kajino
- Organizer
  RIMS camp-style seminar: ``Large scale properties of partial differential equations with random coefficients''
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics2016
- Author(s)
  Naotaka Kajino
- Organizer
  2016 Spring Probability Workshop
- Place of Presentation
  Institute of Mathematics, Academia Sinica, Taipei（台湾）
- Year and Date
  2016-03-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] Open Problem: Optimal transport & L2-Wasserstein geodesics on the Apollonian gasket2016
- Author(s)
  Naotaka Kajino
- Organizer
  4th Spring School on Stochastic and Geometric Analysis
- Place of Presentation
  Vlieland, Netherlands
- Year and Date
  2016-04-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics2016
- Author(s)
  Naotaka Kajino
- Organizer
  The 1st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas
- Place of Presentation
  Institute for Advanced Study, Hong Kong University of Science and Technology, Hong Kong（香港）
- Year and Date
  2016-03-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics2016
- Author(s)
  Naotaka Kajino
- Organizer
  Heat Kernels and Analysis on Manifolds and Fractals
- Place of Presentation
  University of Bielefeld, Bielefeld, Germany
- Year and Date
  2016-07-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics2016
- Author(s)
  Naotaka Kajino
- Organizer
  46th Saint-Flour Probability Summer School
- Place of Presentation
  Maison des Planchettes, Saint-Flour, France
- Year and Date
  2016-07-03
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] he Laplacian on the Apollonian Gasket and Its Weyl Type Eigenvalue Asymptotics2016
- Author(s)
  Naotaka Kajino
- 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] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics2016
- Author(s)
  Naotaka Kajino
- Organizer
  The 8th International Conference on Stochastic Analysis and Its Applications
- Place of Presentation
  Beijing Institute of Technology, Beijing, China
- Year and Date
  2016-06-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formula2016
- Author(s)
  N. Kajino
- Organizer
  Workshop on SDEs and Stochastic Processes
- Place of Presentation
  Chern Institute of Mathematics, Nankai University, Tianjin(China)
- Year and Date
  2016-04-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287017
[Presentation] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics2016
- Author(s)
  Naotaka Kajino
- Organizer
  Dynamics, Ergodic Theory and Fractals
- Place of Presentation
  大阪大学豊中キャンパス
- Year and Date
  2016-05-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] Weyl's eigenvalue asymptotics for the Laplacian on circle packing limit sets of certain Kleinian groups2016
- Author(s)
  Naotaka Kajino
- Organizer
  Heat Kernels, Stochastic Processes and Functional Inequalities
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach, Germany
- Year and Date
  2016-11-27
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics2015
- Author(s)
  Naotaka Kajino
- Organizer
  RIMS研究集会 Stochastic Analysis
- Place of Presentation
  京都大学理学研究科（京都府京都市）
- Year and Date
  2015-09-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] Heat kernel analysis for Brownian motion of 2-dimensional Liouville quantum gravity2015
- Author(s)
  Naotaka Kajino
- Organizer
  International Conference: ``38th Conference on Stochastic Processes and their Applications"
- Place of Presentation
  University of Oxford, Oxford, UK
- Year and Date
  2015-07-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287017
[Presentation] Apollonian gasket上のLaplacianとそのWeyl型固有値漸近挙動2015
- Author(s)
  梶野直孝
- Organizer
  2015年度日本数学会秋季総合分科会（函数論分科会）
- Place of Presentation
  京都産業大学（京都府京都市）
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics2015
- Author(s)
  Naotaka Kajino
- Organizer
  RIMS研究集会複素力学系の深化
- Place of Presentation
  京都大学数理解析研究所（京都府京都市）
- Year and Date
  2015-12-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] The Laplacian on the Apollonian gasket and its Weyl type eigenvalue asymptotics2015
- Author(s)
  Naotaka Kajino
- Organizer
  確率論と幾何学
- Place of Presentation
  東京工業大学大岡山キャンパス（東京都目黒区）
- Year and Date
  2015-11-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17554
[Presentation] Continuity and estimates of the transition density of the Liouville Brownian motion2014
- Author(s)
  梶野直孝
- Organizer
  Oberwolfach Meeting, Dirichlet Forms and Applications
- Place of Presentation
  Oberwolfach Institute(オーベルバッハ、ドイツ）
- Year and Date
  2014-10-21
- Invited
- Data Source
  KAKENHI-PROJECT-26247008
[Presentation] Spectral volume measure via the Dixmier trace for Dirichlet spaces with Weyl type eigenvalue asymptotics2014
- Author(s)
  Naotaka Kajino
- Organizer
  Fractal Geometry and Stochastics V
- Place of Presentation
  Tabarz, Germany
- Data Source
  KAKENHI-PROJECT-25887038
[Presentation] Spectral volume and surface measures via the Dixmier trace for local symmetric Dirichlet spaces with Weyl type eigenvalue asymptotics
- Author(s)
  Naotaka Kajino
- Organizer
  Workshop on Dirichlet Forms & Stochastic Analysis 2014
- Place of Presentation
  Dresden（ドイツ）
- Year and Date
  2014-10-26 – 2014-10-27
- Invited
- Data Source
  KAKENHI-PROJECT-25887038
[Presentation] Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics
- Author(s)
  Naotaka Kajino
- Organizer
  Seminars with E. Milman
- Place of Presentation
  京都大学（京都府京都市）
- Year and Date
  2014-09-29 – 2014-09-30
- Data Source
  KAKENHI-PROJECT-25887038
[Presentation] Spectral volume and surface measures via the Dixmier trace for local Dirichlet spaces with Weyl type eigenvalue asymptotics
- Author(s)
  Naotaka Kajino
- Organizer
  Stochastic Processes, Analysis and Mathematical Physics
- Place of Presentation
  関西大学（大阪府吹田市）
- Year and Date
  2014-08-25 – 2014-08-29
- Invited
- Data Source
  KAKENHI-PROJECT-25887038

1. Kigami Jun (90202035)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. Hino Masanori (40303888)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. Kumagai Takashi (90234509)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. 白石大典 (00647323)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. 相川弘明 (20137889)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. 桑田和正 (30432032)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. 角大輝 (40313324)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. 秋山茂樹 (60212445)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. 宍倉光広 (70192606)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. 中島誠 (60635902)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. 田中亮吉 (80629759)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. Fukuyama Katusi (60218956)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. NAKADA HITOSHI (40118980)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. SUGITA HIROSHI (50192125)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. KOTANI Motoko (50230024)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. KAMEYAMA Atsushi (00243189)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. OHTA Shin-ichi (00372558)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. ITO Shunji (30055321)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. TAKAHASHI Satoshi (70226835)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. Takeda Masayoshi (30179650)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 上村稔大 (30285332)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 桑江一洋 (80243814)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 会田茂樹 (90222455)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. KAWABI KOUJI (80432904)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. SHIOZAWA YUUICHI (60454518)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. KUSUOKA SEIICHIRO (20646814)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. Croydon David (50824182)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KAJINO Naotaka 梶野 直孝

Research Projects

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Co-Researchers

Analysis, geometry and their interplays on fractals and stochastic processes on themPrincipal Investigator

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Study of Analysis and Geometry of complex spaces

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Analysis of Laplacians on fractals invariant under action of discrete groups of Moebius transformationsPrincipal Investigator

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Analysis and geometry of fractals and stochastic processes on them from field-transverse viewpointsPrincipal Investigator

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Relation between structure of spaces and analysis

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Mathematical analysis of differential operators derived from singular geometric structures and their probabilistic counterpartsPrincipal Investigator

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Relation between algebra, geometry and analysis on fractals

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Towerd analysis on metric-measure spaces-- Cheeger theory and fractals

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Stochastic analysis of Markov processes by Dirichlet forms and its applications

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Developments of geometry and analysis for measurable Riemannian structures on fractalsPrincipal Investigator

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Randomness in number theory

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[Journal Article] An elementary proof that walk dimension is greater than two for Brownian motion on Sierpinski carpets2023

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[Journal Article] On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions2023

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KAJINO Naotaka 梶野直孝