Kajino Naotaka

カジノナオタカ | Kajino Naotaka

Affiliation and department：
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 (10)：

2022 - 2027 Analysis, geometry and their interplays on fractals and stochastic processes on them
2021 - 2024 Study of Analysis and Geometry of complex spaces
2018 - 2024 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
2018 - 2023 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
2017 - 2020 Relation between structure of spaces and analysis

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Papers (16)：

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
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

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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

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Lectures and oral presentations (118)：

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)

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Education (1)：

Professional career (2)：

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