Rchr
J-GLOBAL ID：201301080396423060   Update date: Dec. 06, 2023

Kajino Naotaka

カジノ ナオタカ | Kajino Naotaka
Affiliation and department：
Kyoto University Graduate School of Science Division of Mathematics

About Kyoto University Graduate School of Science Division of Mathematics


Job title： Associate Professor
Homepage URL  (1)： https://www.kurims.kyoto-u.ac.jp/~nkajino/
Research field  (1)： Basic analysis
Research theme for competitive and other funds  (6)：
  • 2022 - 2027 Analysis, geometry and their interplays on fractals and stochastic processes on them
  • 2018 - 2022 分野横断的視点によるフラクタル及びその上の確率過程の解析・幾何
  • 2018 - 2021 メビウス変換のなす離散群の作用で不変なフラクタルにおけるラプラシアンの解析学
  • 2017 - 2020 Relation between structure of spaces and analysis
  • 2015 - 2018 特異的幾何学構造に由来する微分作用素とその確率論的対応物に対する数学解析
Show all
Papers (13)：
  • Naotaka Kajino. The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues: A survey of the analytic aspects. Stochastic Analysis, Random Fields and Integrable Probability - Fukuoka 2019, Advanced Studies in Pure Mathematics. 2021. 87. 293-314
  • Naotaka Kajino, Mathav Murugan. On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates. The Annals of Probability. 2020. 48. 6. 2920-2951
  • Naotaka KAJINO. Equivalence of recurrence and Liouville property for symmetric Dirichlet forms. Mathematical Physics and Computer Simulation. 2017. 20. 3. 89-98
  • Alexander Grigor'yan, Naotaka Kajino. LOCALIZED UPPER BOUNDS OF HEAT KERNELS FOR DIFFUSIONS VIA A MULTIPLE DYNKIN-HUNT FORMULA. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2017. 369. 2. 1025-1060
  • Sebastian Andres, Naotaka Kajino. Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions. PROBABILITY THEORY AND RELATED FIELDS. 2016. 166. 3-4. 713-752
ｍore...
MISC (6)：
  • Naotaka Kajino. Energy measures for diffusions on fractals: a survey. Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs. 2021. 119-142
  • Naotaka Kajino. フラクタルの無限/有限分岐性. 数学セミナー. 2020. 2020. 3. 45-45
  • Naotaka KAJINO. 熊谷隆氏のHumboldt 賞受賞によせて. 数学通信. 2018. 23. 1. 16-21
  • KAJINO Naotaka. Analysis on fractals. 2017. 2017. 3. 19-25
  • Kajino Naotaka. Continuity and estimates of the transition density of the Liouville Brownian motion (Symposium on Probability Theory). RIMS Kokyuroku. 2015. 1952. 38-45
ｍore...
Lectures and oral presentations  (97)：
  • Quasisymmetric Gaussian uniformization is impossible for Brownian motion on the Sierpiński carpet
    (International Workshop on Dirichlet Forms and Related Topics in Honor of Professor Masatoshi Fukushima's Beiju 2022)
  • On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates
    (7th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals 2022)
  • On the conformal walk dimension II: Non-attainment for some Sierpiński carpets
    (Probability Symposium 2021 2021)
  • Conformal walk dimension: its universal value and the non-attainment for the Sierpinski carpet
    (Pacific Workshop on Probability and Statistical Physics 2021)
  • 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
    (無限粒子系、確率場の諸問題XVI 2021)
ｍore...
Education (1)：
  • - 2010 京都大学 大学院情報学研究科博士後期課程修了
Professional career (2)：
  • 修士(情報学) (京都大学)
  • 博士(情報学) (京都大学)
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

Return to Previous Page

TOP

BOTTOM