Rchr
J-GLOBAL ID:200901031303577492   Update date: Jun. 05, 2021

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  (2): 確率論 ,  Probability Theory
Research theme for competitive and other funds  (6):
  • 2004 - 2005 ハルナック不等式の安定性とその確率モデルへの応用
  • 2004 - 2005 Stability of Harnack inequalities and the applications to stochastic models
  • 無限粒子系の解析
  • フラクタル上の解析
  • Analysis on infinite particle systems
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Papers (91):
  • Zhen-Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang. Heat kernel upper bounds for symmetric Markov semigroups. Journal of Functional Analysis. 2021. 281. 4. 109074-109074
  • Xin Chen, Zhen-Qing Chen, Takashi Kumagai, Jian Wang. Homogenization of Symmetric Stable-like Processes in Stationary Ergodic Media. SIAM Journal on Mathematical Analysis. 2021. 53. 3. 2957-3001
  • Xin Chen, Zhen Qing Chen, Takashi Kumagai, Jian Wang. Homogenization of symmetric jump processes in random media. Rev. Roumaine Math. Pures Appl. 2021. 66. 1. 83-105
  • Xin Chen, Takashi Kumagai, Jian Wang. Random conductance models with stable-like jumps: Heat kernel estimates and Harnack inequalities. Journal of Functional Analysis. 2020. 279. 7. 108656-108656
  • Zhen-Qing Chen, Takashi Kumagai, Jian Wang. Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms. Advances in Mathematics. 2020. 107269-107269
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MISC (9):
  • 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. 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. マルコフ連鎖と混合時間 -カード・シヤツフルの数理-. 平成23 年8 月1 日から8 月5 日(第33 回)受講者数102 (延べ348). 2011
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Books (7):
  • Random Walks on Disordered Media and their Scaling Limits.
    Springer 2014
  • Probabilistic approach to geometry. Papers from the 1st Conference of the Seasonal Institute of the Mathematical Society of Japan held at Kyoto University, Kyoto, July 28-August 8, 2008.「(共編)」
    Advanced Studies in Pure Mathematics, 57. Mathematical Society of Japan, Tokyo, 2010. xvi+514 pp. 2010
  • 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
  • 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
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Lectures and oral presentations  (72):
  • Periodic homogenization of non-symmetric Lévy-type processes
    (Joint Israeli Probability Seminar(オンライン) 2021)
  • 複雑な形状の図形の中で熱はどのように伝わるか?
    (明治大学大学院理工学研究科特別講義(オンライン) 2020)
  • 複雑な系の上のランダムウォークとそのスケール極限
    (慶應大学集中講義(数理解析特論、オンライン) 2020)
  • Homogenization of jump processes in random media
    (東京確率論セミナー(オンライン) 2020)
  • Quenched invariance principle for long range random walks in balanced random environments
    (Bernoulli-IMS One World Symposium 2020 (Online) 2020)
more...
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
  • - 1989 Kyoto University
  • - 1989 Kyoto University
Professional career (1):
  • Doctor of Science (Kyoto University)
Work history (2):
  • 2010/10 - 現在 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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