梶野直孝

カジノナオタカ | Kajino Naotaka

所属機関・部署：
ホームページURL (1件)： https://www.kurims.kyoto-u.ac.jp/~nkajino/

研究分野 (1件)：基礎解析学

競争的資金等の研究課題 (10件)：

全件表示

論文 (16件)：

Naotaka Kajino. An elementary proof that walk dimension is greater than two for Brownian motion on Sierpiński carpets. Bulletin of the London Mathematical Society. 2022. 55. 1. 508-521
Naotaka Kajino, Mathav Murugan. On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions. Inventiones mathematicae. 2022. 231. 1. 263-405
Naotaka Kajino. On Singularity of Energy Measures for Symmetric Diffusions with Full Off-Diagonal Heat Kernel Estimates II: Some Borderline Examples. Springer Proceedings in Mathematics & Statistics. 2022. 394. 223-251
The Laplacian on some self-conformal fractals and Weyl's asymptotics for its eigenvalues: A survey of the analytic aspects. 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

MISC (6件)：

Energy measures for diffusions on fractals: a survey. 2021. 119-142
梶野直孝. フラクタルの無限/有限分岐性. 数学セミナー. 2020. 2020. 3. 45-45
梶野直孝. 熊谷隆氏のHumboldt 賞受賞によせて. 数学通信. 2018. 23. 1. 16-21
梶野直孝. フラクタル上の解析学. 数学セミナー. 2017. 2017. 3. 19-25
梶野直孝. Continuity and estimates of the transition density of the Liouville Brownian motion (Symposium on Probability Theory). 数理解析研究所講究録. 2015. 1952. 38-45

講演・口頭発表等 (118件)：

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
(多分野交流会 2024)
On singularity of p-energy measures among distinct values of p for some p.-c.f. self-similar sets
(Analysis on fractals and networks, and applications 2024)
On singularity of p-energy measures among distinct values of p for some p.-c.f. self-similar sets
(Seminaire de Probabilites commun ICJ/UMPA 2024)
Geometric Laplacians on self-conformal fractal curves in the plane
(French Japanese Conference on Probability & Interactions 2024)
On singularity of p-energy measures among distinct values of p for some p.-c.f. self-similar sets
(UBC Probability Seminar 2024)

学歴 (1件)：

学位 (2件)：

※　J-GLOBALの研究者情報は、researchmapの登録情報に基づき表示しています。登録・更新については、こちらをご覧ください。

梶野 直孝