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Profile
| Academic position | Full Professor |
|---|---|
| Research fields | Stochastics, Probability Theory |
| Keywords | analysis on fractals, probability theory, potential theory, harmonic analysis, stochastic processes and application |
| Honours and awards | 2017: Inoue Prize for Science 2017: Osaka Science Prize 2012: JSPS (Japan Society for the Promotion of Science) Prize 2004: Spring prize of the Mathematical Society of Japan 1997: Takebe prize of the Mathematical Society of Japan |
Current contact address
| Country | Japan |
|---|---|
| City | Tokyo |
| Institution | Waseda University |
| Institute | Department of Industrial Engineering, School of Science & Engineering |
| Homepage | http://www.f.waseda.jp/t-kumagai/index.html |
Host during sponsorship
| Prof. Dr. Jean-Dominique Deuschel | Institut für Mathematik, Technische Universität Berlin, Berlin |
|---|---|
| Prof. Dr. Moritz Kaßmann | Fakultät für Mathematik, Universität Bielefeld, Bielefeld |
| Prof. Dr. Anton Bovier | Institut für Angewandte Mathematik (IAM), Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn |
| Prof. Dr. Karl-Theodor Sturm | Institut für Angewandte Mathematik (IAM), Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn |
| Start of initial sponsorship | 01/06/2018 |
Programme(s)
| 2017 | Humboldt Research Award Programme |
|---|
Nominator's project description
| Professor Kumagai is a leading expert in the analysis of stochastic processes on irregular structures. He has made fundamental contributions to the theory of diffusion on fractals, random walks on random graphs and the analysis of non-local operators, anomalous diffusion and critical phenomena. During his stay in Germany, he intends to study scaling limits of processes in random media. |
Publications (partial selection)
| 2022 | Kassmann, Moritz and Kim, Kyung-Youn and Kumagai, Takashi: Heat kernel bounds for nonlocal operators with singular kernels. In: J. Math. Pures Appl. (9), 164, 2022, 1--26 |
|---|---|
| 2022 | Chen, Zhen-Qing and Kumagai, Takashi and Wang, Jian: Heat kernel estimates for general symmetric pure jump {D}irichlet forms. In: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 23, 2022, 1091--1140 |
| 2022 | Chen, Zhen-Qing and Kim, Panki and Kumagai, Takashi and Wang, Jian: Heat kernels for reflected diffusions with jumps on inner uniform domains. In: Trans. Amer. Math. Soc., 375, 2022, 6797--6841 |
| 2022 | Chen, Zhen-Qing and Kumagai, Takashi and Saloff-Coste, Laurent and Wang, Jian and Zheng, Tianyi: Long range random walks and associated geometries on groups of polynomial growth. In: Ann. Inst. Fourier (Grenoble), 72, 2022, 1249--1304 |
| 2022 | Can, V. H. and Croydon, D. A. and Kumagai, T.: Spectral dimension of simple random walk on a long-range percolation cluster. In: Electron. J. Probab., 27, 2022, -- |
| 2022 | Chen, Zhen-Qing and Kim, Panki and Kumagai, Takashi and Wang, Jian: Two-sided heat kernel estimates for symmetric diffusion processes with jumps: recent results. Dirichlet forms and related topics. Springer, 2022. 63--83 |
| 2021 | Can, Van Hao and van der Hofstad, Remco and Kumagai, Takashi: Glauber dynamics for Ising models on random regular graphs: cut-off and metastability. In: ALEA Lat. Am. J. Probab. Math. Stat., 18, 2021, 1441--1482 |
| 2021 | Chen, Zhen-Qing and Kim, Panki and Kumagai, Takashi and Wang, Jian: Heat kernel upper bounds for symmetric Markov semigroups. In: J. Funct. Anal., 281, 2021, 109074 |
| 2021 | Chen, Xin and Chen, Zhen-qing and Kumagai, Takashi and Wang, Jian: Homogenization of symmetric jump processes in random media. In: Rev. Roumaine Math. Pures Appl., 66, 2021, 83--105 |
| 2021 | Chen, Xin and Chen, Zhen-Qing and Kumagai, Takashi and Wang, Jian: Homogenization of symmetric stable-like processes in stationary ergodic media. In: SIAM J. Math. Anal., 53, 2021, 2957--3001 |
| 2021 | Chen, Xin and Chen, Zhen-Qing and Kumagai, Takashi and Wang, Jian: Periodic homogenization of nonsymmetric Lévy-type processes. In: Ann. Probab., 49, 2021, 2874--2921 |
| 2021 | Barlow, M. T. and Croydon, D. A. and Kumagai, T.: Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree. In: Probab. Theory Related Fields, 181, 2021, 57--111 |
| 2021 | Biskup, Marek and Chen, Xin and Kumagai, Takashi and Wang, Jian: Quenched invariance principle for a class of random conductance models with long-range jumps. In: Probab. Theory Related Fields, 180, 2021, 847--889 |
| 2021 | Chen, Xin and Chen, Zhen-Qing and Kumagai, Takashi and Wang, Jian: Quenched invariance principle for long range random walks in balanced random environments. In: Ann. Inst. Henri Poincar\'{e} Probab. Stat., 57, 2021, 2243--2267 |
| 2021 | Chen, Xin and Kumagai, Takashi and Wang, Jian: Random conductance models with stable-like jumps: quenched invariance principle. In: Ann. Appl. Probab., 31, 2021, 1180--1231 |
| 2021 | Chen, Zhen-Qing and Kumagai, Takashi and Wang, Jian: Stability of heat kernel estimates and parabolic Harnack inequalities for general symmetric pure jump processes. Analysis and partial differential equations on manifolds, fractals and graphs. De Gruyter, Berlin, 2021. 3--25 |
| 2021 | Chen, Zhen-Qing and Kumagai, Takashi and Wang, Jian: Stability of heat kernel estimates for symmetric non-local Dirichlet forms. In: Mem. Amer. Math. Soc., 271, 2021, |
| 2020 | Chen, Zhen-Qing and Kumagai, Takashi and Wang, Jian: Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms. In: Adv. Math., 374, 2020, 107269, 71 |
| 2020 | Chen, Xin and Kumagai, Takashi and Wang, Jian: Random conductance models with stable-like jumps: heat kernel estimates and Harnack inequalities. In: J. Funct. Anal., 279, 2020, 108656, 51 |
| 2020 | Chen, Zhen-Qing and Kumagai, Takashi and Wang, Jian: Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms. In: J. Eur. Math. Soc. (JEMS), 22, 2020, 3747--3803 |
| 2020 | Chen, Zhen-Qing and Kim, Panki and Kumagai, Takashi and Wang, Jian: Time fractional Poisson equations: representations and estimates. In: J. Funct. Anal., 278, 2020, 108311, 48 |
| 2019 | Gordina, Masha and Kumagai, Takashi and Saloff-Coste, Laurent and Sturm, Karl-Theodor: Heat Kernels, Stochastic Processes and Functional Inequalities. In: Oberwolfach Rep., 16, 2019, 3315--3407 |