Rchr
J-GLOBAL ID:200901031303577492   Update date: Feb. 12, 2024

Kumagai Takashi

クマガイ タカシ | Kumagai Takashi
Affiliation and department:
Job title: Professor,Professor
Homepage URL  (1): https://t-kumagai.w.waseda.jp
Research field  (2): Applied mathematics and statistics ,  Basic mathematics
Research keywords  (2): 確率論 ,  Probability Theory
Research theme for competitive and other funds  (68):
  • 2023 - 2027 Theory for convergence of discrete surfaces with conformal structures
  • 2022 - 2027 Stochastic Processes and Stochastic Analysis on Disordered Media
  • 2023 - 2026 Macroscopic properties of discrete stochastic models and analysis of their scaling limits
  • 2021 - 2024 Study of Analysis and Geometry of complex spaces
  • 2017 - 2022 Anomalous diffusions on disordered media
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Papers (111):
  • Sebastian Andres, David Croydon, Takashi Kumagai. Heat Kernel Fluctuations for Stochastic Processes on Fractals and Random Media. Applied and Numerical Harmonic Analysis. 2023. 265-281
  • 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
more...
MISC (11):
  • 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
  • Kumagai Takashi. Random conductance models on $\mathbb{Z}^d$ (Stochastic Processes and Statistical Phenomena behind PDEs). RIMS Kokyuroku. 2013. 1823. 97-106
more...
Books (11):
  • Limit theorems for some long range random walks on torsion free nilpotent groups
    Springer 2023 ISBN:9783031433313
  • 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
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Lectures and oral presentations  (96):
  • Heat kernel fluctuations and quantitative homogenizations for the one dimensional Bouchaud trap model
    (Random Interacting Systems, Scaling Limits, and Universality at IMS Singapore 2023)
  • Anomalous random walks and scaling limits: from fractals to random media
    (AustMS 2023 at the University of Queensland 2023)
  • Anomalous random walks and scaling limits: from fractals to random media
    (International Congress of Basic Science at BIMSA (China) 2023)
  • Gradient estimates of the heat kernel for random walks in time-dependent random environments
    (Potential theory and random walks in metric spaces, OIST 2023)
  • On gradient estimates of the heat kernel for random walks in time-dependent random environments
    (Spring Probability Workshop National Taiwan University 2023)
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Works (20):
  • 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
more...
Education (4):
  • - 1991 Kyoto University
  • - 1991 Kyoto University Graduate School, Division of Natural Science
  • - 1989 Kyoto University Faculty of Science
  • - 1989 Kyoto University Faculty of Science
Professional career (1):
  • Doctor of Science (Kyoto University)
Work history (3):
  • 2022/04 - 現在 Waseda University Faculty of Science and Engineering Professor
  • 2010/10 - 2022/03 Kyoto University Research Institute for Mathematical Sciences Professor
  • 2007/04 - 2010/09 Kyoto University Graduate School of Science Division of Mathematics Professor
Awards (8):
  • 2017/11 - Humboldt Research Award
  • 2017/11 - Osaka Science Prize
  • 2017/02 - Inoue Prize for Science
  • 2012/03 - JSPS (Japan Society for the Promotion of Science) Prize
  • 2004 - 日本数学会賞春季賞
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Association Membership(s) (2):
Institute of Mathematical Statistics ,  Mathematical Society of Japan
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