Rchr
J-GLOBAL ID:200901031303577492   Update date: Jun. 09, 2020

Kumagai Takashi

クマガイ タカシ | Kumagai Takashi
Affiliation and department:
Job title: Professor,Professor
Homepage URL  (1): http://www.kurims.kyoto-u.ac.jp/~kumagai/
Research field  (2): Applied mathematics and statistics ,  Basic mathematics
Research keywords  (1): Probability Theory
Research theme for competitive and other funds  (3):
  • 2004 - 2005 Stability of Harnack inequalities and the applications to stochastic models
  • Analysis on infinite particle systems
  • Analysis on fractals
Papers (81):
  • Z.-Q. Chen, T. Kumagai, J. Wang. Elliptic Harnack inequalities for symmetric non-local Dirichlet forms. J. Math. Pures Appl. 2019. 125. 1-42
  • D.A. Croydon, B.M. Hambly, KUMAGAI Takashi. Heat kernel estimates for FIN processes associated with resistance forms. Stoch. Proc. Their Appl. 2019. 129. 2991-3017
  • G.-Y. Chen, KUMAGAI Takashi. Products of random walks on finite groups with moderate growth. Tohoku Math. J. 2019. 71. 2. 281-302
  • Kumagai, Takashi, Nakamura, Chikara. Lamplighter random walks on fractals. J. Theoret. Probab. 2018. 31. 1. 68-92
  • KUMAGAI Takashi. Anomalous random walks and diffusions on disordered media. Sugaku. 2018. 70. 1. 81-100
more...
MISC (1):
Books (4):
  • Random Walks on Disordered Media and their Scaling Limits.
    Springer 2014
  • 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
  • Function spaces and stochastic processes on fractals
    In: Fractal geometry and stochastics III (C. Bandt et al. (eds.)), Progr. Probab., Birkhauser,57, 221-234 2004
  • Some remarks for stable-like jump processes on fractals
    In: Trends in Math., Fractals in Graz 2001 (P. Grabner and W. Woess (eds.)),185-196 2002
Lectures and oral presentations  (58):
  • Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms
    (Realizing the Potential -- Theory in Bielefeld 2019)
  • Anomalous random walk and diffusion: from fractals to random media
    (50 Years of Mathematics at Bielefeld 2019)
  • Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree
    (Analysis and PDEs on Manifolds and Fractals 2019)
  • Anomalous random walk and diffusion in random media
    (BMS Friday Colloquium 2019)
  • Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms
    (Walking through the Brownian Zoo 2019)
more...
Works (10):
  • Asymptotic behaviour of random walks on stochastic models
    2003 - 2004
  • Stability of parabolic Harnack inequalities on metric measure spaces
    2003 - 2004
  • Heat kernel estimates for Jump-type processes
    2003 - 2004
  • Recent developments of analysis on fractals
    2004 -
  • Heat transfer on spaces with variour disordered media
    2001 - 2002
more...
Education (3):
  • - 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 (2):
  • 2010/10 - 現在 Kyoto University Professor
  • 2007/04 - 2010/09 Kyoto University Professor
Awards (6):
  • 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 - Prize of the Mathematical Society of Japan
Show all
Association Membership(s) (2):
Institute of Mathematical Statistics ,  Mathematical Society of Japan
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