KAJINO Naotaka 梶野直孝

Researcher Number	90700352
Other IDs
Affiliation (Current)	2023: 京都大学, 数理解析研究所, 准教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 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 analysis / Basic Section 12010:Basic analysis-related / Medium-sized Section 12:Analysis, applied mathematics, and related fields Except Principal Investigator Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic Section 12010:Basic analysis-related
Keywords	Principal Investigator ラプラシアン / フラクタル解析 / 固有値漸近挙動 / 測度論的リーマン構造 / アポロニウスの詰め込み / 熱核 / 劣ガウス型熱核評価 / Liouville Brown運動 / フラクタル / Klein群の極限集合 … More / フラクタル上のポテンシャル論 / フラクタル上の確率過程 / フラクタル上の確率熱方程式 / ディリクレ形式 / コンヌのトレース定理 / 国際研究者交流（ドイツ，イギリス） / 国際研究者交流（アメリカ） / 円詰込フラクタル / クライン群 / リウヴィルブラウン運動 / Apollonian gasket / Dirichlet形式 / 劣Gauss型評価 / 拡散過程 / Sierpinski carpet / 自己等角フラクタル曲線 / Klein群の擬等角変形 / 複素力学系のJulia集合 / 測度のマルチフラクタル解析 / フラクタル上の解析学 / ポテンシャル論 / エネルギー測度 / ランダム媒質中のディレクティドポリマー / 自由エネルギー / フラクタル幾何学 / 3次元一様全域木 / ランダムフラクタル / 自己等角フラクタル … More Except Principal Investigator フラクタル / 熱核 / ラプラシアン / Dirichlet form / 力学系 / 自己相似集合 / 拡散過程 / 解析学 / 距離空間 / 確率論 / 一様分布 / 差異量 / 等比数列 / 重複対数の法則 / uniform distribution / discrepancy / lacunary sequence / 経験分布過程 / 間隙級数 / 一様分布論 / 間隙列 / タイリング / 確率過程 / 複素力学系 / 測度論リーマン構造 / 測度・距離空間 / partition / quasisymmetry / volume doubling property / 測度論的リーマン構造 / Dirichlet From / tree / quaisymmetry / Harnack 不等式 / 等角次元 / 対称マルコフ過程 / ディリクレ形式 / 測度空間上の確率解析 / 準定常分布 / エルゴード定理 / 測度距離空間上の幾何解析 / 特異空間上の拡散過程 / 無限次元確率解析 / 測度距離空間 / 無限次元空間上の確率解析 / 飛躍型マルコフ過程 / ラフパス解析 / マルコフ過程 / 幾何解析 / 測度距離空間上の解析 / ファインマン・カッツの公式 / 特異空間上の幾何解析 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
  
  木上淳
- 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
  
  梶野直孝
- Project Period (FY)
  2018 – 2022
- 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
  
  梶野直孝
- 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 2021 2020 2019 2018 2017 2016 2015 2014 Other

All Journal Article Presentation

[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] 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] 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] 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] 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 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 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] 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] 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 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] 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 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] 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] 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)
  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)
  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] 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] 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] 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] 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] 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] 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 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
  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] 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
  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] 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] 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
  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] 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] 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] 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 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

Research Products

Co-Researchers

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

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of Analysis and Geometry of complex spaces

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Relation between structure of spaces and analysis

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Relation between algebra, geometry and analysis on fractals

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Stochastic analysis of Markov processes by Dirichlet forms and its applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Randomness in number theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues: A survey of the analytic aspects2021

Author(s)

Journal Title

DOI

ISBN

Data Source

[Journal Article] Localized upper bounds of heat kernels for diffusions via a multiple Dynkin-Hunt formul2017

Author(s)

Journal Title

Data Source

KAJINO Naotaka 梶野直孝