熊谷隆

クマガイタカシ | Kumagai Takashi

所属機関・部署：
職名：教授,教授
ホームページURL (1件)： http://www.f.waseda.jp/t-kumagai/index.html

研究分野 (2件)：応用数学、統計数学 , 数学基礎

研究キーワード (2件)：確率論 , Probability Theory

競争的資金等の研究課題 (59件)：

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論文 (110件)：

Zhen Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang. HEAT KERNELS FOR REFLECTED DIFFUSIONS WITH JUMPS ON INNER UNIFORM DOMAINS. Transactions of the American Mathematical Society. 2022. 375. 10. 6797-6841
Zhen-Qing Chen, Takashi Kumagai, Jian Wang. Heat kernel estimates for general symmetric pure jump Dirichlet forms. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 2022. 1091-1140
Moritz Kassmann, Kyung Youn Kim, Takashi Kumagai. Heat kernel bounds for nonlocal operators with singular kernels. Journal des Mathematiques Pures et Appliquees. 2022. 164. 1-26
V.-H. Can, D.A. Croydon, T. Kumagai. Spectral dimension of simple random walk on a long-range percolation cluster. Electron. J. Probab. 2022. 27. 56. 1-37
Zhen Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang. Two-Sided Heat Kernel Estimates for Symmetric Diffusion Processes with Jumps: Recent Results. Springer Proceedings in Mathematics and Statistics. 2022. 394. 63-83

MISC (11件)：

熊谷隆. フィールズ賞で語る現代数学 21 ー確率論. 数理科学. 2018. 61-67
熊谷隆. ランダム媒質とフラクタル. 数学セミナー. 2017. 56. 3. 26-31
熊谷隆. 数理科学への確率論によるアプローチ. 数理科学. 2016. 5-6
Zhen-Qing Chen, Panki Kim, Takashi Kumagai. GLOBAL HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES (vol 363, pg 5021, 2011). TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2015. 367. 10. 7515-7515
熊谷隆. Random conductance models on $\mathbb{Z}^d$ (Stochastic Processes and Statistical Phenomena behind PDEs). 数理解析研究所講究録. 2013. 1823. 97-106

書籍 (10件)：

Stability of heat kernel estimates for symmetric non-local Dirichlet forms
American Mathematical Society 2021 ISBN:9781470448639
Random Walks on Disordered Media and their Scaling Limits.
Springer 2014
Probabilistic approach to geometry
Mathematical Society of Japan 2010 ISBN:9784931469587
Homogenization on finitely ramified fractals
Advanced Studies in Pure Math., 41, Stochastic Analysis and Related Topics in Kyoto (H. Kunita et al. (eds.)), MSJ,189-207 2004
Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries「(共著)」
In: Fractal geometry and applications: A Jubilee of B. Mandelbrot (M.L. Lapidus and M. van Frankenhuijsen (eds.)), Proc. of Symposia in Pure Math., Amer. Math. Soc.,72/2, 233-260 2004

講演・口頭発表等 (90件)：

Periodic homogenization of non-symmetric discontinuous Markov processes
(Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields 2023 (at Kyushu University) 2023)
Limit theorems for long range random walks on nilpotent groups
(Stochastic Analysis and Related Topics (at Osaka University) 2022)
Periodic homogenization of non-symmetric jump-type processes
(Random media & large deviations (at Courant Institute, NY) 2022)
Spectral dimension of simple random walk on a long-range percolation cluster
(Open Japanese-German conference on stochastic analysis and applications (at Munster) 2022)
Anomalous diffusions and time fractional differential equations
(Geometry, Stochastics and Dynamics, UK-Japan at Imperial College 2022)

Works (20件)：

確率モデルの上のランダムウォークの漸近挙動についての研究
2003 - 2004
放物型Harnack不等式の安定性に関する研究
2003 - 2004
飛躍型確率過程の熱核の研究
2003 - 2004
Asymptotic behaviour of random walks on stochastic models
2003 - 2004
Stability of parabolic Harnack inequalities on metric measure spaces
2003 - 2004

学歴 (4件)：

学位 (1件)：

経歴 (3件)：

受賞 (8件)：

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所属学会 (2件)：

Institute of Mathematical Statistics , 日本数学会

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熊谷 隆