Concurrent Post
-
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
Details of a Researcher
Updated on 2022/08/17
Faculty of Science and Engineering Graduate School of Fundamental Science and Engineering
Kyoto University
Kyoto University Graduate School, Division of Natural Science
Kyoto University Faculty of Science
Kyoto University Faculty of Science
Kyoto University Doctor of Science
Waseda University Faculty of Science and Engineering Professor
Kyoto University Research Institute for Mathematical Sciences Professor
Kyoto University Graduate School of Science Division of Mathematics Professor
Institute of Mathematical Statistics
Mathematical Society of Japan
Basic mathematics
Applied mathematics and statistics
確率論
Probability Theory
Spectral dimension of simple random walk on a long-range percolation cluster
V.-H. Can, D.A. Croydon, T. Kumagai
Electron. J. Probab. 27 ( 56 ) 1 - 37 2022.05 [Refereed]
Quenched invariance principle for long range random walks in balanced random environments
Xin Chen, Zhen Qing Chen, Takashi Kumagai, Jian Wang
Annales de l'institut Henri Poincare (B) Probability and Statistics 57 ( 4 ) 2243 - 2267 2021.11 [Refereed]
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree
M. T. Barlow, D. A. Croydon, T. Kumagai
Probability Theory and Related Fields 2021.08 [Refereed]
Heat kernel upper bounds for symmetric Markov semigroups
Zhen-Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang
Journal of Functional Analysis 281 ( 4 ) 109074 - 109074 2021.08 [Refereed]
Quenched invariance principle for a class of random conductance models with long-range jumps
Marek Biskup, Xin Chen, Takashi Kumagai, Jian Wang
Probability Theory and Related Fields 180 ( 3-4 ) 847 - 889 2021.07 [Refereed]
Random conductance models with stable-like jumps: Quenched invariance principle
Xin Chen, Takashi Kumagai, Jian Wang
The Annals of Applied Probability 31 ( 3 ) 1180 - 1231 2021.06 [Refereed]
Stability of heat kernel estimates for symmetric non-local Dirichlet forms
Zhen-Qing Chen, Takashi Kumagai, Jian Wang
Memoirs of the American Mathematical Society 271 ( 1330 ) 2021.05 [Refereed]
Stability of heat kernel estimates and parabolic Harnack inequalities for general symmetric pure jump processes
Z.-Q. Chen, T. Kumagai, J. Wang
Analysis and partial differential equations on manifolds, fractals and graphs, Adv. Anal. Geom., De Gruyter, Berlin 3 1 - 26 2021.01 [Refereed] [Invited]
Anomalous behavior of random walks on disordered media
T. Kumagai
In: Creative Complex Systems (K. Nishimura et al. (eds.)), Creative Economy, Springer 73 - 84 2021
PERIODIC HOMOGENIZATION OF NONSYMMETRIC LÉVY-TYPE PROCESSES
Xin Chen, Zhen Qing Chen, Takashi Kumagai, Jian Wang
Annals of Probability 49 ( 6 ) 2874 - 2921 2021 [Refereed]
Glauber dynamics for Ising models on randomregular graphs: cut-off and metastability
Van Hao Can, Remco van der Hofstad, Takashi Kumagai
Latin American Journal of Probability and Mathematical Statistics 18 ( 1 ) 1441 - 1482 2021 [Refereed]
Homogenization of Symmetric Stable-like Processes in Stationary Ergodic Media
Xin Chen, Zhen-Qing Chen, Takashi Kumagai, Jian Wang
SIAM Journal on Mathematical Analysis 53 ( 3 ) 2957 - 3001 2021.01 [Refereed]
Homogenization of symmetric jump processes in random media
Xin Chen, Zhen Qing Chen, Takashi Kumagai, Jian Wang
Rev. Roumaine Math. Pures Appl. 66 ( 1 ) 83 - 105 2021 [Refereed] [Invited]
Random conductance models with stable-like jumps: Heat kernel estimates and Harnack inequalities
Xin Chen, Takashi Kumagai, Jian Wang
Journal of Functional Analysis 279 ( 7 ) 108656 - 108656 2020.10 [Refereed]
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms
Zhen-Qing Chen, Takashi Kumagai, Jian Wang
Advances in Mathematics 107269 - 107269 2020.07 [Refereed]
Time fractional Poisson equations: Representations and estimates
Zhen Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang
Journal of Functional Analysis 278 ( 2 ) 2020.01 [Refereed]
Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms
Zhen Qing Chen, Takashi Kumagai, Jian Wang
Journal of the European Mathematical Society 22 ( 11 ) 3747 - 3803 2020 [Refereed]
Elliptic Harnack inequalities for symmetric non-local Dirichlet forms
Z.-Q. Chen, T. Kumagai, J. Wang
J. Math. Pures Appl. 125 1 - 42 2019.05 [Refereed]
Heat kernel estimates for FIN processes associated with resistance forms
D.A. Croydon, B.M. Hambly, KUMAGAI Takashi
Stoch. Proc. Their Appl. 129 2991 - 3017 2019 [Refereed]
Products of random walks on finite groups with moderate growth
G.-Y. Chen, KUMAGAI Takashi
Tohoku Math. J. 71 ( 2 ) 281 - 302 2019 [Refereed]
Lamplighter Random Walks on Fractals
Takashi Kumagai, Chikara Nakamura
Journal of Theoretical Probability 31 ( 1 ) 68 - 92 2018.03 [Refereed]
Heat kernel estimates for time fractional equations
Zhen-Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang
Forum Mathematicum 30 ( 5 ) 1163 - 1192 2018.02 [Refereed]
Anomalous random walks and diffusions on disordered media
KUMAGAI Takashi
Sugaku 70 ( 1 ) 81 - 100 2018 [Refereed] [Invited]
Cutoff for lamplighter chains on fractals
A. Dembo, T. Kumagai, C. Nakamura
Electron. J. Probab. 23 1 - 21 2018 [Refereed]
Cutoffs for product chains
G.-Y. Chen, T. Kumagai
Stoch. Proc. Their Appl. 128 ( 11 ) 3840 - 3879 2018 [Refereed]
Mean value inequalities for jump processes.
Z.-Q. Chen, T. Kumagai, J. Wang
Stochastic Partial Differential Equations and Related Fields, In Honor of Michael Röckner, SPDERF, Bielefeld 421 - 437 2018 [Refereed] [Invited]
Laws of the iterated logarithm for symmetric jump processes
Panki Kim, Takashi Kumagai, Jian Wang
BERNOULLI 23 ( 4A ) 2330 - 2379 2017.11 [Refereed]
Time-changes of stochastic processes associated with resistance forms
David Croydon, Ben Hambly, Takashi Kumagai
ELECTRONIC JOURNAL OF PROBABILITY 22 ( 82 ) 1 - 41 2017 [Refereed]
SUBSEQUENTIAL SCALING LIMITS OF SIMPLE RANDOM WALK ON THE TWO-DIMENSIONAL UNIFORM SPANNING TREE
M. T. Barlow, D. A. Croydon, T. Kumagai
ANNALS OF PROBABILITY 45 ( 1 ) 4 - 55 2017.01 [Refereed]
Laws of the iterated logarithm for random walks on random conductance models.
Kumagai, Takashi, Nakamura, Chikara
RIMS Kôkyûroku Bessatsu B59 141 - 156 2016 [Refereed]
Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances
Ruojun Huang, Takashi Kumagai
ELECTRONIC COMMUNICATIONS IN PROBABILITY 21 ( 5 ) 1 - 11 2016 [Refereed]
Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model
Omar Boukhadra, Takashi Kumagai, Pierre Mathieu
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 67 ( 4 ) 1413 - 1448 2015.10 [Refereed]
QUENCHED INVARIANCE PRINCIPLES FOR RANDOM WALKS AND ELLIPTIC DIFFUSIONS IN RANDOM MEDIA WITH BOUNDARY
Zhen-Qing Chen, David A. Croydon, Takashi Kumagai
ANNALS OF PROBABILITY 43 ( 4 ) 1594 - 1642 2015.07 [Refereed]
BOUNDARY HARNACK INEQUALITY FOR MARKOV PROCESSES WITH JUMPS
Krzysztof Bogdan, Takashi Kumagai, Mateusz Kwasnicki
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 367 ( 1 ) 477 - 517 2015.01 [Refereed]
Random walks on disordered media and their scaling limits
Takashi Kumagai
Lecture Notes in Mathematics 2101 1 - 159 2014 [Refereed]
Anomalous random walks and diffusions: From fractals to random media.
KUMAGAI Takashi
Proceedings of the ICM Seoul 2014 IV 75 - 94 2014 [Invited]
Biased random walk on critical Galton-Watson trees conditioned to survive
D. A. Croydon, A. Fribergh, T. Kumagai
PROBABILITY THEORY AND RELATED FIELDS 157 ( 1-2 ) 453 - 507 2013.10 [Refereed]
Fluctuations of maxima of discrete Gaussian free fields on a class of recurrent graphs
Takashi Kumagai, Ofer Zeitouni
ELECTRONIC COMMUNICATIONS IN PROBABILITY 18 1 - 12 2013.09 [Refereed]
Markov chain approximations to nonsymmetric diffusions with bounded coefficients
Jean-Dominique Deuschel, Takashi Kumagai
Communications on Pure and Applied Mathematics 66 ( 6 ) 821 - 866 2013.06 [Refereed]
Discrete approximation of symmetric jump processes on metric measure spaces
Zhen-Qing Chen, Panki Kim, Takashi Kumagai
PROBABILITY THEORY AND RELATED FIELDS 155 ( 3-4 ) 703 - 749 2013.04 [Refereed]
Convergence of mixing times for sequences of random walks on finite graphs
D. A. Croydon, B. M. Hambly, T. Kumagai
ELECTRONIC JOURNAL OF PROBABILITY 17 1 - 32 2012.01 [Refereed]
GLOBAL HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES
Zhen-Qing Chen, Panki Kim, Takashi Kumagai
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 363 ( 9 ) 5021 - 5055 2011.09 [Refereed]
Convergence of symmetric Markov chains on Z(d)
Richard F. Bass, Takashi Kumagai, Toshihiro Uemura
PROBABILITY THEORY AND RELATED FIELDS 148 ( 1-2 ) 107 - 140 2010.09 [Refereed]
Diffusion on the Scaling Limit of the Critical Percolation Cluster in the Diamond Hierarchical Lattice
B. M. Hambly, T. Kumagai
COMMUNICATIONS IN MATHEMATICAL PHYSICS 295 ( 1 ) 29 - 69 2010.04 [Refereed]
A priori Holder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps
Zhen-Qing Chen, Takashi Kumagai
REVISTA MATEMATICA IBEROAMERICANA 26 ( 2 ) 551 - 589 2010 [Refereed]
Uniqueness of Brownian motion on Sierpinski carpets
Martin T. Barlow, Richard F. Bass, Takashi Kumagai, Alexander Teplyaev
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 12 ( 3 ) 655 - 701 2010 [Refereed]
On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces
Zhen-Qing Chen, Panki Kim, Takashi Kumagai
ACTA MATHEMATICA SINICA-ENGLISH SERIES 25 ( 7 ) 1067 - 1086 2009.07 [Refereed]
Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps
Martin T. Barlow, Richard F. Bass, Takashi Kumagai
MATHEMATISCHE ZEITSCHRIFT 261 ( 2 ) 297 - 320 2009.02 [Refereed]
Heat kernel upper bounds for jump processes and the first exit time
Martin T. Barlow, Alexander Grigor'yan, Takashi Kumagai
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 626 135 - 157 2009.01 [Refereed]
Heat kernel estimates for strongly recurrent random walk on random media
Takashi Kumagai, Jun Misumi
JOURNAL OF THEORETICAL PROBABILITY 21 ( 4 ) 910 - 935 2008.12 [Refereed]
Weighted Poincare inequality and heat kernel estimates for finite range jump processes
Zhen-Qing Chen, Panki Kim, Takashi Kumagai
MATHEMATISCHE ANNALEN 342 ( 4 ) 833 - 883 2008.12 [Refereed]
Random walks on Galton-Watson trees with infinite variance offspring distribution conditioned to survive
David Croydon, Takashi Kumagai
ELECTRONIC JOURNAL OF PROBABILITY 13 1419 - 1441 2008.08 [Refereed]
Random walk on the incipient infinite cluster for oriented percolation in high dimensions
Martin T. Barlow, Antal A. Jarai, Takashi Kumagai, Gordon Slade
COMMUNICATIONS IN MATHEMATICAL PHYSICS 278 ( 2 ) 385 - 431 2008.03 [Refereed]
Heat kernel estimates for jump processes of mixed types on metric measure spaces
Zhen-Qing Chen, Takashi Kumagai
PROBABILITY THEORY AND RELATED FIELDS 140 ( 1-2 ) 277 - 317 2008.01 [Refereed]
Recent developments of analysis on fractals.
熊谷 隆
Translations, Series 2, Volume 223, pp. 81--95, Amer. Math. Soc. 2008. 2008 [Refereed]
Symmetric markov chains on Z(d) with unbounded range
Richard F. Bass, Takashi Kumagai
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 360 ( 4 ) 2041 - 2075 2008 [Refereed]
Heat kernel estimates on the incipient infinite cluster for critical branching processes.
Fujii, Ichiro, KUMAGAI Takashi
RIMS Kôkyûroku Bessatsu B6 85 - 95 2008 [Refereed]
On the dichotomy in the heat kernel two sided estimates
Alexander Grigor'yan, Takashi Kumagai
ANALYSIS ON GRAPHS AND ITS APPLICATIONS 77 199 - + 2008 [Refereed]
On the dichotomy in the heat kernel two sided estimates
Alexander Grigor'yan, Takashi Kumagai
ANALYSIS ON GRAPHS AND ITS APPLICATIONS 77 199 - + 2008 [Refereed]
Heat kernel estimates on the incipient infinite cluster for critical branching processes (Proceedings of RIMS Workshop on Stochastic Analysis and Applications)
FUJII Ichiro, KUMAGAI Takashi
数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu 6 85 - 95 2008.01 [Refereed]
A trace theorem for Dirichlet forms on fractals
Masanori Hino, Takashi Kumagai
JOURNAL OF FUNCTIONAL ANALYSIS 238 ( 2 ) 578 - 611 2006.09 [Refereed]
Random Walk on The Incipient Infinite Cluster on Trees
M.T. Barlow, T. Kumagai
Illinois Journal of Mathematics 50 ( 1 ) 33 - 65 2006 [Refereed]
Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs
MT Barlow, T Coulhon, T Kumagai
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 58 ( 12 ) 1642 - 1677 2005.12 [Refereed]
Construction of diffusion processes on fractals, d-sets, and general metric measure spaces
T Kumagai, KT Sturm
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 45 ( 2 ) 307 - 327 2005 [Refereed]
Recent developments of analysis on fractals (in Japanese)
熊谷 隆
"Sugaku", Iwanami-shoten,56/4, 337-350 2004 [Refereed]
Heat kernel estimates and law of the iterated logarithm for symmetric random walks on fractal graphs「(共著)」
熊谷 隆
In: Discrete Geometric Analysis, (M. Kotani et al. (eds.)), Contemporary Mathematics, Amer. Math. Soc.,347, 153-172 2004 [Refereed]
Brownian motions on fractals
熊谷 隆
Bulletin de liaison,7, 1-17 2004
Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometrics
BM Hambly, T Kumagai
FRACTAL GEOMETRY AND APPLICATIONS: A JUBILEE OF BENOIT MANDELBROT - MULTIFRACTALS, PROBABILITY AND STATISTICAL MECHANICS, APPLICATIONS, PT 2 72 ( 2 ) 233 - 259 2004 [Refereed]
Function spaces and stochastic processes on fractals
T Kumagai
FRACTAL GEOMETRY AND STOCHASTICS III 57 221 - 234 2004 [Refereed]
Homogenization on finitely ramified fractals.
KUMAGAI Takashi
Adv. Stud. Pure Math. 41 189 - 207 2004 [Refereed]
Diffusion processes on fractal fields: heat kernel estimates and large deviations
BM Hambly, T Kumagai
PROBABILITY THEORY AND RELATED FIELDS 127 ( 3 ) 305 - 352 2003.11 [Refereed]
Heat kernel estimates for stable-like processes on d-sets
ZQ Chen, T Kumagai
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 108 ( 1 ) 27 - 62 2003.11 [Refereed]
Some remarks for stable-like jump processes on fractals
T Kumagai
FRACTALS IN GRAZ 2001: ANALYSIS - DYNAMICS - GEOMETRY - STOCHASTICS 185 - 196 2003 [Refereed]
Asymptotics for the spectral and walk dimension as fractals approach Euclidean space
BM Hambly, T Kumagai
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY 10 ( 4 ) 403 - 412 2002.12 [Refereed]
Function spaces and stochastic processes on fractals (ポテンシャル論とその周辺 研究集会報告集)
熊谷 隆
数理解析研究所講究録 1293 42 - 54 2002.11
Laws of the iterated logarithm for the range of random walks in two and three dimensions
RF Bass, T Kumagai
ANNALS OF PROBABILITY 30 ( 3 ) 1369 - 1396 2002.07 [Refereed]
Construction of diffusion processes penetrating fractals--An application of the theory of Besov spaces (調和解析学と非線形偏微分方程式 研究集会報告集)
熊谷 隆
数理解析研究所講究録 1235 91 - 114 2001.10
Fluctuation of the transition density for Brownian motion on random recursive Sierpinski gaskets
BM Hambly, T Kumagai
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 92 ( 1 ) 61 - 85 2001.03 [Refereed]
Transition density asymptotics for some diffusion processes with multi-fractal structures
Martin T. Barlow, Takashi Kumagai
Electronic Journal of Probability 6 1 - 23 2001.01 [Refereed]
Laws of the iterated logarithm for some symmetric diffusion processes
RF Bass, T Kumagai
OSAKA JOURNAL OF MATHEMATICS 37 ( 3 ) 625 - 650 2000.09 [Refereed]
Transition density estimates for diffusion processes on homogeneous random Sierpinski carpets
BM Hambly, T Kumagai, S Kusuoka, XY Zhou
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 52 ( 2 ) 373 - 408 2000.04 [Refereed]
Large deviations for Brownian motion on the Sierpinski gasket
G Ben Arous, T Kumagai
STOCHASTIC PROCESSES AND THEIR APPLICATIONS 85 ( 2 ) 225 - 235 2000.02 [Refereed]
Brownian motion penetrating fractals - An application of the trace theorem of Besov spaces
T Kumagai
JOURNAL OF FUNCTIONAL ANALYSIS 170 ( 1 ) 69 - 92 2000.01 [Refereed]
Stochastic processes on fractals and related topics
熊谷 隆
Sugaku Expositions , American Mathematical Society,13/1,55-71 2000 [Refereed]
Transition density estimates for diffusion processes on post critically finite self-similar fractals
BM Hambly, T Kumagai
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 78 431 - 458 1999.03 [Refereed]
Heat kernel estimates and homogenization for asymptotically lower dimensional processes on some nested fractals
BM Hambly, T Kumagai
POTENTIAL ANALYSIS 8 ( 4 ) 359 - 397 1998.06 [Refereed]
Percolation on pre-Sierpinski carpets
T Kumagai
NEW TRENDS IN STOCHASTIC ANALYSIS 288 - 304 1997 [Refereed]
Stochastic processes on fractals and related topics (in Japanese)
熊谷 隆
Sugaku, Iwanami-shoten,49/2, 158-172 1997 [Refereed]
Homogenization on nested fractals
T Kumagai, S Kusuoka
PROBABILITY THEORY AND RELATED FIELDS 104 ( 3 ) 375 - 398 1996.03 [Refereed]
Rotation invariance and characterization of a class of self-similar diffusion processes on the Sierpinski gasket.
熊谷 隆
"Algorithms, Fractals, and Dynamics. ", Plenum,/,131-142 1995 [Refereed]
TRANSITION DENSITY ESTIMATES FOR BROWNIAN-MOTION ON AFFINE NESTED FRACTALS
PJ FITZSIMMONS, BM HAMBLY, T KUMAGAI
COMMUNICATIONS IN MATHEMATICAL PHYSICS 165 ( 3 ) 595 - 620 1994.10 [Refereed]
REGULARITY, CLOSEDNESS AND SPECTRAL DIMENSIONS OF THE DIRICHLET FORMS ON PCF SELF-SIMILAR SETS
T KUMAGAI
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 33 ( 3 ) 765 - 786 1993.10 [Refereed]
ESTIMATES OF TRANSITION DENSITIES FOR BROWNIAN-MOTION ON NESTED FRACTALS
T KUMAGAI
PROBABILITY THEORY AND RELATED FIELDS 96 ( 2 ) 205 - 224 1993.07 [Refereed]
Construction and some properties of a class of non-symmetric diffusion processes on the Sierpinski gasket.
熊谷 隆
"Asymptotic Problems in Probability Theory : stochastic models and diffusions on fractals. " , Pitman,219-247 1993 [Refereed]
Stability of heat kernel estimates for symmetric non-local Dirichlet forms
Chen, Zhen-Qing, 熊谷, 隆, 王, 健(数学)
American Mathematical Society 2021 ISBN: 9781470448639
Random Walks on Disordered Media and their Scaling Limits.
KUMAGAI Takashi( Part: Sole author, Lecture Notes in Mathematics, Vol. 2101, École d'Été de Probabilités de Saint-Flour XL--2010.)
Springer 2014.02
Probabilistic approach to geometry
The Seasonal Institute of the Mathematical Society of Japan, 小谷, 元子, Hino, Masanori, 熊谷, 隆, 日本数学会
Mathematical Society of Japan 2010 ISBN: 9784931469587
Homogenization on finitely ramified fractals
熊谷 隆
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)」
熊谷 隆
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
熊谷 隆
In: Fractal geometry and stochastics III (C. Bandt et al. (eds.)), Progr. Probab., Birkhauser,57, 221-234 2004
複雑な系における確率論と実解析学の接点
熊谷, 隆, 京都大学数理解析研究所
[熊谷隆] 2003.12
確率論
熊谷 隆
共立出版, 2003
Some remarks for stable-like jump processes on fractals
熊谷 隆
In: Trends in Math., Fractals in Graz 2001 (P. Grabner and W. Woess (eds.)),185-196 2002
フラクタル上の確率過程についての研究
熊谷, 隆
[出版者不明] 1998.03
フィールズ賞で語る現代数学 21 ー確率論
熊谷 隆
数理科学 61 - 67 2018.02 [Invited]
Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media)
ランダム媒質とフラクタル
熊谷 隆
数学セミナー 26 - 31 2017.03 [Invited]
Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media)
数理科学への確率論によるアプローチ
熊谷 隆
数理科学 5 - 6 2016.06 [Invited]
Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media)
GLOBAL HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES (vol 363, pg 5021, 2011)
Zhen-Qing Chen, Panki Kim, Takashi Kumagai
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 367 ( 10 ) 7515 - 7515 2015.10
Other
Kumagai Takashi
RIMS Kokyuroku 1823 97 - 106 2013.01
マルコフ連鎖と混合時間 ―カード・シヤツフルの数理―
熊谷 隆
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 [Invited]
Chen Zhen-Qing, Kim Panki, Kumagai Takashi
RIMS Kokyuroku 1672 117 - 130 2010.01
臨界確率における確率モデルの熱伝導について
熊谷 隆
数理研 9.27 2006
Multifractal formalisms for the local spectral and walk dimensions
BM Hambly, J Kigami, T Kumagai
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 132 555 - 571 2002.05 [Refereed]
フラクタル上の解析学
熊谷 隆
「数理科学」(サイエンス社),/8,58-65 1999 [Invited]
フラクタル上の解析学の展開(日本数学会年会総合講演)
Recent developments of analysis on fractals
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
放物型Harnack不等式の安定性に関する研究
飛躍型確率過程の熱核の研究
Asymptotic behaviour of random walks on stochastic models
Stability of parabolic Harnack inequalities on metric measure spaces
Heat kernel estimates for Jump-type processes
多種の複雑系が混在する空間に於ける熱伝導について
フラクタル上の飛躍型確率過程の研究
Heat transfer on spaces with variour disordered media
Jump-type processes on fractals
低次元ランダムウォークの訪問点に関する重複大数の法則について
Laws of the iterated logarithm for the range of random walks in low dimensions
フラクタル上の拡散過程の熱核におけるマルチフラクタル性について
Multi-fractal formalims for heat kernels of diffusion processes on fractals
フラクタル上の確率過程に関する最近の話題(日本数学会秋季総合分科会特別講演)
Recent topics of stochastic processes on fractals.
フラクタル上の拡散過程とその解析(日本数学会年会特別講演)
Stochastic processes on fractals and related topics
Humboldt Research Award
2017.11
Osaka Science Prize
2017.11
Inoue Prize for Science
2017.02
JSPS (Japan Society for the Promotion of Science) Prize
2012.03
日本数学会賞春季賞
2004
Prize of the Mathematical Society of Japan
2004
日本数学会建部賞
1997
Takebe-Award, Math. Soc. Japan
1997
Study of Analysis and Geometry of complex spaces
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
Anomalous diffusions on disordered media
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
Stochastic Analysis on Infinite Particle Systems
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (S)
Project Year :
Dynamics on Random Media
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows
Project Year :
Relation between structure of spaces and analysis
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
KIGAMI JUN
Research on Markov processes via stochastic analysis
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
Shigekawa ichiro, Kumagai Takashi, Hino Masanori, Aida Shigeki
Development of probability theory and geometry based on local structures induced by Dirichlet forms
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
Hino Masanori
Stochastic analysis on large scale interacting systems and its development
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
FUNAKI Tadahisa, MIMURA Masayasu, MATANO Hiroshi, OTOBE Yoshiki, SAKAGAWA Hironobu, XIE Bin, SASADA Makiko
Potential theory for non-local operators
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for JSPS Fellows
Project Year :
無限粒子系とランダム行列の確率解析
日本学術振興会 科学研究費助成事業 基盤研究(A)
Project Year :
長田 博文, 種村 秀紀, 白井 朋之, 香取 眞理, 熊谷 隆, 舟木 直久
Relation between algebra, geometry and analysis on fractals
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
Kigami Jun, KOTANI Motoko, KAMEYAMA Atsushi, OHTA Shin-ichi, ITO Shunji, TAKAHASHI Satoshi
Stochastic analytic study on Kardar-Parisi-Zhang equation
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research
Project Year :
Funaki Tadahisa, MATANO HIROSHI, SASADA Makiko, OSADA HIROFUMI, KUMAGAI Takashi, OTOBE YOSHIKI, XIE BIN, SPOHN Herbert, QUASTEL Jeremy, WEBER Hendrik
Stochastic processes on disordered media -- discrete models and their scaling limits
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
Kumagai Takashi, SHIGEKAWA Ichiro, KOTANI Motoko, SHIRAI Tomoyuki, FUKUSHIMA Ryoki
Potential theory on space complexity and ideal boundary
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
Aikawa Hiroaki, KUMAGAI TAKASHI
Discrete Geometric Analysis for Quantum Spin System
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
Kotani Motoko, Obata Nobuaki, Tate Tatsuya, Miyaoka Reiko
Towerd analysis on metric-measure spaces-- Cheeger theory and fractals
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research
Project Year :
Kigami Jun, Kumagai Takashi, Hino Masanori, Kajino Naotaka
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
Osada Hirofumi, KOTANI Shinichi, KATORI Makoto, SHINPDA Masato, OTOBE Yoshiki
Stochastic analysis on large scale interacting systems and its applications
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
FUNAKI Tadahisa, OSADA Hirofumi, MATANO Hiroshi, HIGUCHI Yasunari, OTOBE Yoshiki, TANEMURA Hideki, CHIYONOBU Taizo, KUMAGAI Takashi, HANDA Kenji, YOSHIDA Nobuo, SUGIURA Makoto, ICHIHARA Naoyuki, NISHIKAWA Takao, SAKAGAWA Hironobu, XIE Bin
Towards de Giorgi-Nash-Moser theory on non-linear non-local partial differential equations.
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Challenging Exploratory Research
Project Year :
KUMAGAI Takashi, ISHIGE Kazuhiro
Interaction between areas of Mathematics related to internal structures of fractals
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
KIGAMI Jun, KAMEYAMA Atsushi, AIKAWA Hiroaki, ITO Syunji, HINO Masanori, SHISHIKURA Mitsuhiro, KUMAGAI Takashi, OSADA Hirofumi, KOTANI Motoko, HATTORI Tetsuya, TAKAHASHI Satoshi, KUWADA Kazumasa, WAKANO Isao, KUBO Masayoshi
Infinite dimensional stochastic analysis and geometry
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
SHIGEKAWA Ichiro, KUMAGAI Takashi, SUGITA Hiroshi, AIDA Shigeki, HINO Masanori, MATSUMOTO Hiroyuki
Markov chains on disordered media and their scaling limits
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
KUMAGAI Takashi, AIKAWA Hiroaki, SHIGEKAWA Ichiro, KIGAMI Jun, HINO Masanori, UEMURA Toshihiro, FUNAKI Tadahisa, TAKEDA Masayoshi, KOTANI Motoko, YOSHIDA Nobuo
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Project Year :
ISHIWATA Satoshi, KOTANI Motoko, KUMAGAI Takashi, OHTA Shin-ichi, ALEXANDER Grigoryan, THIERRY Coulhon
Research on potential problems from various aspects
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
AIKAWA Hiroaki, SHIGA Hiroshige, KIGAMI Jun, TONEGAWA Yoshihiro, HIRATA Kentaro, UENO Kohei, SUZUKI Noriaki, KUMAGAI Takashi, SUGAWA Toshiyuki, SHIMOMURA Tetsu, MURATA Minoru, TADOKORO Yuki, KATAGATA Koh, OHONO Takao
Study of Geometry of a discrete space through randomness
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
KOTANI Motoko, SHIOYA Takashi, ARAI Hitoshi, KUMAGAI Takashi, IZEKI Hiroyasu, NAYATANI Shin, TATE Tatsuya, ISHIWATA Satoshi
低次元臨界確率パーコレーション上のダイナミックスとそのスケール極限
日本学術振興会 科学研究費助成事業 挑戦的萌芽研究
Project Year :
熊谷 隆, 長田 博文
Aspects of Mathematics on Fractals
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
KIGAMI Jun, SHISHIKURA Mitsuhiro, KUMAGAI Takashi, AIKAWA Hiroaki, KAMEYAMA Atsushi, HINO Masanori, ITO Syunji, OSADA Hirofumi, KOTANI Motoko, HATTORI Tetsuya, TAKAHASHI Satoshi, KUWADA Kazumasa, WAKANO Isao, KUBO Masayoshi
Theory of stochastic analysis and its applications
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
MATSUMOTO Hiroyuki, TAKEDA Masayoshi, KUMAGAI Takashi, SHIRAI Tomoyuki, KAISE Hidehiro, YANO Kouji, SUGITA Hiroshi, TANIGUCHI Setsuo, SHIOZAWA Yuuichi, FUNAKI Tadahisa, SHIGEKAWA Ichiro, TANEMURA Hideki, SEKINE Jun, HINO Masanori, TAKAOKA Koichiro, OTOBE Yoshimi, AIDA Shigeki, FUJITA Takahiko, INAHAMA Yuzuru
Geometry and Invariants of 3-manifolds
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
KOJIMA Sadayoshi, YOSHIDA Tomoyoshi, MORITA Shigeyuki, MATSUMOTO Shigenori, SOMA Teruhiko, FUJIWARA Koji, OHTSUKI Tomotada, TAKASAWA Mitsuhiko, KUMAGAI Takashi
Stochastic analysis on large scale interacting systems
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
FUNAKI Tadahisa, OSADA Hirofumi, WEISS Georg, OTOBE Yoshiki, MIMURA Masayasu, HIGUCHI Yasunari, TANEMURA Hideki, KUMAGAI Takashi, YOSHIDA Nobuo, CHIYONOBU Taizo, HANDA Kenji, SUGIURA Makoto, NISHIKAWA Takao
Developments of the theory of stochastic processes and real analysis on disordered media
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
KUMAGAI Takashi, AIKAWA Hiroaki, KIGAMI Jun, SHIGEKAWA Ichiro, HINO Masanori, FUNAKI Tadahisa, TAKAHASHI Youichiro, TAKEDA Masayoshi, KOTANI Motoko
Geometric property of the Gaussian estimate of the gradient of the heat kernel
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Project Year :
ISHIWATA Satoshi, THIERRY Coulhon, KOTANI Motoko, KUMAGAI Takashi
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
OSADA Hirofumi, FUNAKI Tadahisa, SHINODA Masato, KUMAGAI Takashi, SHIRAI Tomoyuki, HARA Takashi, FUKAI Yasunari, UTIYAMA Kohei, MATSUMOTO Hiroyuki, TANEMURA Hideki, NAGAHATA Yukio, HIGUCHI Yasunari, MITOMA Itaru, SUGIURA Makoto, KONNNO Norio, KOMORIYA Keishi, OTOBE Yoshiki, YOSHIDA Nobuo, LIANG Song, HANDA Kenji
Stochastic analysis in infinite dimensional spaces
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
SHIGEKAWA Ichiro, KUMAGAI Takashi, YOSHIDA Nobuo, HINO Masanori, UEKI Naomasa, AIDA Shigeki, UEMURA Hideaki, TAKANOBU Satoshi
臨界確率における確率モデル上の熱伝導の研究
日本学術振興会 科学研究費助成事業 萌芽研究
Project Year :
熊谷 隆, 長田 博文
Aspects of Mathematics on Fractals
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
KIGAMI Jun, SHISHIKURA Mitsuhiro, KUMAGAI Takashi, ITO Shunji, AIKAWA Hiroaki, OSADA Hirofumi
測度論的リーマン構造と対応する熱核の漸近挙動
日本学術振興会 科学研究費助成事業 萌芽研究
Project Year :
木上 淳, 熊谷 隆, 日野 正訓
ハルナック不等式の安定性とその確率モデルへの応用
日本学術振興会 科学研究費補助金
Project Year :
熊谷 隆
Stability of Harnack inequalities and the applications to stochastic models
Grant-in-Aid for Scientific Research
Project Year :
A study of stochastic analysis - synthesizing and integrating
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
TANIGUCHI Setsuo, HAMACHI Toshihiro, SHIRAI Tomoyuki, FUKAI Yasunari, MATSUMOTO Hiroyuki, KUMAGAI Takashi
Integrated research of Probability Theory
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
SHIGEKAWA Ichiro, KUMAGAI Takashi, HINO Masanori, AIDA Shigeki, OGURA Yukio, SHIRAI Tomoyuki
Mathematical Fundation of Fractals
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
KIGAMI Jun, KUMAGAI Takashi, SHISHIKURA Mistuhiro, OSADA Hirofumi, HATTORI Tetsuya, ITO Shunji
INteraction between probability and analysis on disordered media
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Project Year :
KUMAGAI Takashi, SHIGEKAWA Ichiro, TAKAHASHI Yoichiro, WATANABE Shinzo, HINO Masanori, KIGAMI Jun
多変数複素力学系とフラクタル上のラプラシアンのスペクトル分布の接点
日本学術振興会 科学研究費助成事業 萌芽研究
Project Year :
木上 淳, 宍倉 光広, 熊谷 隆
Aspects of large deviation principles
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Project Year :
TAKAHASHI Youichiro, SHIGEKAWA Ichiro, HINO Masaomi, KUMAGAI Takashi, HIGUCHI Yasuko, SHIRAI Tomoyuki
複雑集合の内と外のポテンシャル解析
日本学術振興会 科学研究費助成事業 萌芽研究
Project Year :
相川 弘明, 熊谷 隆, 杉江 実郎, 山崎 稀嗣
確率解析に関する国際研究集会のための企画調査
日本学術振興会 科学研究費助成事業 基盤研究(C)
Project Year :
熊谷 隆, 重川 一郎, 高橋 陽一郎, 渡辺 信三, 松本 裕行, 舟木 直久
複雑度の高い空間における確率解析の研究
日本学術振興会 科学研究費助成事業 萌芽的研究
Project Year :
若野 功, 熊谷 隆, 重川 一郎, 日野 正訓, 渡辺 信三
Analysis of sample paths for stochastic processes
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Project Year :
KUMAGAI Takashi, SHIGEKAWA Ichiro, TAKAHASHI Yoichiro, WATANABE Shinzo, HINO Masanori
Research on vibrations and diffusions on fractals
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Project Year :
KIGAMI Jun, KUMAGAI Takashi
Developments of Analysis on Fractals
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B).
Project Year :
HINO Masanod, TAKAHASHI Yoichiro, KIGAMI Jun, KUMAGAI Takashi, SHINODA Masato, MATSUMOTO Hiroyuki
スピングラスの確立論的研究
日本学術振興会 科学研究費助成事業 萌芽的研究
Project Year :
日野 正訓, 南 和彦, 吉田 伸生, 熊谷 隆, 村井 浄信
Probability Theory and Its Interface
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A)
Project Year :
TAKAHASHI Youichiro, TANIGUCHI Setsuo, MATSUMOTO Hiroyuki, SHIGEKAWA Ichiro, KUSUOKA Shigeo, FUNAKI Tadahisa
量子確率過程の超関数論的研究
日本学術振興会 科学研究費助成事業 基盤研究(C)
Project Year :
尾畑 伸明, 杉浦 誠, 南 和彦, 市原 完治, 熊谷 隆, 三宅 正武
無限粒子系の解析
フラクタル上の解析
Analysis on infinite particle systems
Analysis on fractals
Anomalous diffusions and time fractional differential equations
熊谷隆 [Invited]
マルコフ過程とその周辺(熊本大学)
Presentation date: 2022.03
Anomalous diffusions and time fractional differential equations
Takashi Kumagai [Invited]
Deterministic and stochastic fractional differential equations and jump processes, Workshop at Isaac Newton Institute
Presentation date: 2022.02
Spectral dimension of simple random walk on a long-range percolation cluster
Takashi Kumagai [Invited]
Joint Online Workshop between Netherlands and Japan
Presentation date: 2022.01
Periodic homogenization of non-symmetric Levy-type processes
Takashi Kumagai [Invited]
Bernoulli-IMS 10th World Congress
Presentation date: 2021.07
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree
Takashi Kumagai [Invited]
6th International Workshop on Markov Processes and Related Topics, Central South University (Online)
Presentation date: 2021.07
Periodic homogenization of non-symmetric Lévy-type processes
Takashi Kumagai [Invited]
Joint Israeli Probability Seminar(オンライン)
Presentation date: 2021.06
複雑な形状の図形の中で熱はどのように伝わるか?
熊谷隆 [Invited]
明治大学大学院理工学研究科特別講義(オンライン)
Presentation date: 2020.12
複雑な系の上のランダムウォークとそのスケール極限
熊谷隆 [Invited]
慶應大学集中講義(数理解析特論、オンライン)
Presentation date: 2020.12
Homogenization of jump processes in random media
熊谷隆 [Invited]
東京確率論セミナー(オンライン)
Presentation date: 2020.11
Quenched invariance principle for long range random walks in balanced random environments
Takashi Kumagai
Bernoulli-IMS One World Symposium 2020 (Online)
Presentation date: 2020.08
Anomalous behavior of diffusions on disordered media
[Invited]
明治非線型数理セミナー
Presentation date: 2020.01
Simple random walk on the two-dimensional uniform spanning tree
Takashi Kumagai [Invited]
Mar Kac seminar (Utrecht)
Presentation date: 2019.12
Anomalous diffusions and time fractional differential equations
Takashi Kumagai [Invited]
Colloquium at Bielefeld University
Presentation date: 2019.11
Anomalous random walk and diffusion: from fractals to random media
Takashi Kumagai [Invited]
Colloquium at Shanghai JiaoTong University
Presentation date: 2019.10
Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms
KUMAGAI Takashi [Invited]
Realizing the Potential -- Theory in Bielefeld
Presentation date: 2019.09
Anomalous random walk and diffusion: from fractals to random media
KUMAGAI Takashi [Invited]
50 Years of Mathematics at Bielefeld
Presentation date: 2019.09
Homogenization of (symmetric) stable-like processes in random media
Takashi Kumagai [Invited]
Probability Seminar at Tianjin University
Presentation date: 2019.09
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree
KUMAGAI Takashi [Invited]
Analysis and PDEs on Manifolds and Fractals
Presentation date: 2019.09
Stability of heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms
Takashi Kumagai [Invited]
Japanese-German Open Conference on Stochastic Analysis 2019
Presentation date: 2019.09
Anomalous random walk and diffusion in random media
KUMAGAI Takashi [Invited]
BMS Friday Colloquium
Presentation date: 2019.07
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms
KUMAGAI Takashi [Invited]
Walking through the Brownian Zoo
Presentation date: 2019.06
Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree
KUMAGAI Takashi [Invited]
Probabilistic methods in statistical mechanics of random media
Presentation date: 2019.05
Homogenization of (symmetric) stable-like processes in random media
KUMAGAI Takashi [Invited]
Spring Probability Workshop at Academia Sinica
Presentation date: 2019.05
Homogenization of symmetric stable-like processes in random media
KUMAGAI Takashi
Potential Analysis and its Related Fields 2019
Presentation date: 2019.02
Homogenization of symmetric stable-like processes in random media
KUMAGAI Takashi
Advances in Asymptotic Probability, Stanford University
Presentation date: 2018.12
Quenched invariance principle for random walks among random conductances with stable-like jumps
KUMAGAI Takashi
Non Standard Diffusions in Fluids, Kinetic Equations and Probability at CIRM
Presentation date: 2018.12
Quenched invariance principle for random walks among random conductances with stable-like jumps
KUMAGAI Takashi
Probability Afternoon at TU-Dresden
Presentation date: 2018.11
Quenched invariance principle for random walks among random conductances with stable-like jumps
KUMAGAI Takashi
Montreal Summer Workshop on Challenges in Probability and Mathematical Physics at CRM
Presentation date: 2018.07
Quenched invariance principle for random walks among random conductances with stable-like jumps
KUMAGAI Takashi
Interplay of Random Media and Stochastic Interface Models
Presentation date: 2018.06
Quenched invariance principle for random walks among random conductances with stable-like jumps
KUMAGAI Takashi [Invited]
Sixth Bielefeld-SNU Joint Workshop in Mathematics, Seoul
Presentation date: 2018.03
Quenched invariance principle for random walks among random conductances with stable-like jumps
KUMAGAI Takashi [Invited]
Interplay of Analysis and Probability in Applied Mathematics
Presentation date: 2018.02
飛躍型対称確率過程のポテンシャル論とその応用
熊谷 隆 [Invited]
九州大学数理談話会
Presentation date: 2018.01
大阪科学賞受賞記念講演
熊谷 隆 [Invited]
大阪科学賞受賞記念講演
Presentation date: 2017.11
Convergence of random walks for trap models on disordered media
KUMAGAI Takashi [Invited]
International Conference on Spatial Probability and Statistical Physics
Presentation date: 2017.10
Convergence of random walks for trap models on disordered media
KUMAGAI Takashi [Invited]
German-Japanese Open Conference on Stochastic Analysis 2017
Presentation date: 2017.09
Heat kernel estimates for time fractional equations
KUMAGAI Takashi
Workshop on jump processes and stochastic analysis 2017 at Dresden
Presentation date: 2017.09
Potential theory for symmetric jump processes and applications
KUMAGAI Takashi [Invited]
SPA 2017 in Moscow (Medallion Lecture)
Presentation date: 2017.07
Heat kernel estimates for time fractional equations
KUMAGAI Takashi [Invited]
13th Workshop on Markov Processes and Related Topics at Wuhan
Presentation date: 2017.07
Convergence of random walks for trap models on disordered media
KUMAGAI Takashi [Invited]
Dynamics, aging and universality in complex systems, NYU
Presentation date: 2017.06
Time changes of stochastic processes associated with resistance forms
KUMAGAI Takashi [Invited]
6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals
Presentation date: 2017.06
Time changes of stochastic processes: Convergence and heat kernel estimates
KUMAGAI Takashi [Invited]
Random walks with memory at CIRM
Presentation date: 2017.05
Lamplighter random walks on fractals.
KUMAGAI Takashi [Invited]
3rd Workshop on Probability Theory and its Applications
Presentation date: 2016.12
Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces
KUMAGAI Takashi [Invited]
SPDE and Related Fields, Bielefeld University
Presentation date: 2016.10
Analysis on anomalous diffusions on disordered media
KUMAGAI Takashi [Invited]
Presentation date: 2016.09
Time changes of stochastic processes associated with resistance forms
KUMAGAI Takashi [Invited]
Random Structures in High Dimensions: CMO-BIRS workshop
Presentation date: 2016.06
Time changes of stochastic processes on fractals
KUMAGAI Takashi [Invited]
Fractality and Fractionality
Presentation date: 2016.05
Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces
KUMAGAI Takashi [Invited]
1st Hong Kong/Kyoto Workshop on Fractal Geometry and Related Areas
Presentation date: 2016.03
Recent topics on random conductance model
KUMAGAI Takashi [Invited]
2016 Spring Probability Workshop at Academia Sinica
Presentation date: 2016.03
Anomalous random walks and diffusions in random media
KUMAGAI Takashi [Invited]
International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics
Presentation date: 2015.11
Harnack inequalities and local CLT for the polynomial lower tail random conductance model
KUMAGAI Takashi [Invited]
Stochastic Analysis
Presentation date: 2015.09
Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces
KUMAGAI Takashi [Invited]
International Conference on Stochastic Analysis and Related Topics
Presentation date: 2015.08
Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces
KUMAGAI Takashi [Invited]
SPA 2015 at Oxford, 2015
Presentation date: 2015.07
Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero
KUMAGAI Takashi [Invited]
University of Bath Probability Seminar
Presentation date: 2015.06
Anomalous random walks and their scaling limits: From fractals to random media
KUMAGAI Takashi [Invited]
Colloquium at Humboldt University
Presentation date: 2014.10
Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero
KUMAGAI Takashi [Invited]
1st PAJAKO Workshop at TU-Dresden
Presentation date: 2014.10
Quenched Invariance Principle for a class of random conductance mod- els with long-range jump
KUMAGAI Takashi [Invited]
Oberwolfach Workshop
Presentation date: 2014.10
Anomalous Random Walks and Diffusions
KUMAGAI Takashi [Invited]
ICM Seoul 2014
Presentation date: 2014.08
Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero
KUMAGAI Takashi [Invited]
7th ICSAA at Seoul National University
Presentation date: 2014.08
Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero
KUMAGAI Takashi [Invited]
ASC-IMS 2014 Annual Meeting at Sydney
Presentation date: 2014.07
Simple random walk on the two-dimensional uniform spanning tree and its scaling limits
KUMAGAI Takashi
5th Cornell Conference on Analysis, Probability and Mathematical Physics on Fractals
Presentation date: 2014.06
Simple random walk on the two-dimensional uniform spanning tree and its scaling limits
KUMAGAI Takashi [Invited]
Warwick EPSRC Symposium on Statistical Mechanics
Presentation date: 2014.05
Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree
KUMAGAI Takashi [Invited]
Spring probability workshop in 2014, NCTS, National Tsing Hua University
Presentation date: 2014.03
Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary
KUMAGAI Takashi [Invited]
German-Japanese workshop in Leipzig
Presentation date: 2013.09
Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary
KUMAGAI Takashi [Invited]
PRIMA 2013
Presentation date: 2013.06
Random walks on disordered media and their scaling limits
MSJ-KMS Joint Meeting 2012 日本数学会、韓国数学会
Presentation date: 2012.09
Random walks on graphs 10:45-12:00 and applications to random media
Spring School in Probability, 23-27 April 2012, Dubrovnik, Croatia(
Presentation date: 2012.04
Quenched invariance principle for random walks and random divergence forms in random media on cones
The expanding art of expansions, Eurandom, Netherlands
Presentation date: 2012.02
Convergence of mixing times for sequences of random walks on finite graphs
4th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals, Cornell University Cornell University
Presentation date: 2011.09
Markov chain approximations to non-symmetric diffusions with bounded coefficients
5th inter- national conferences on Stochastic Analysis and its Applications, Bonn, Germany,
Presentation date: 2011.09
Random walks on graphs and applications to random media
The First NIMS Summer School in Probability 2011, 15-26, Daejeon, Korea
Presentation date: 2011.08
On the equivalence of parabolic Harnack inequalities and heat kernel estimates
Seminar, Aalto University, Finland Aalto University
Presentation date: 2011.06
Convergence of mixing times for sequences of random walks on graphs
Stochastic Analysis, Oberwolfach, Germany
Presentation date: 2011.06
Convergence of mixing times for sequences of simple random walks on graphs
Combinatorics and Analysis in Spatial Probability, Eurandom
Presentation date: 2010.12
Convergence of symmetric Markov chains on Zd
34th conference on Stochastic Processes and Their Applications, Osaka
Presentation date: 2010.07
Parabolic Harnack inequalities for stable-like processes on metric measure spaces (2 Lectures),
6th Cornell Probability Summer School, Cornell University
Presentation date: 2010.07
Random walks on disordered media and their scaling limits (8 Lectures)
0th Probability Summer School, St. Flour
Presentation date: 2010.07
Convergence of centered Markov chains to non-symmetric diffusions with bounded coefficients
Random walks, random environments, reinforcement, Marseilles
Presentation date: 2010.05
Periodic homogenization of non-symmetric Levy-type processes
Takashi Kumagai [Invited]
Bernoulli-IMS 10th World Congress in Probability and Statistics, Seoul (Online)
Periodic homogenization of non-symmetric Lévy-type processes
Takashi Kumagai [Invited]
Bernoulli-IMS 10th World Congress in Probability and Statistics, Seoul (Online)
Periodic homogenization of non-symmetric Lévy-type processes
Takashi Kumagai [Invited]
Bernoulli-IMS 10th World Congress in Probability and Statistics, Seoul (Online)
Seminar in Applied Mathematics B [S Grade]
School of Fundamental Science and Engineering
2022 fall semester
Seminar in Applied Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Seminar in Mathematics A [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Research Project Spring [S Grade]
School of Fundamental Science and Engineering
2022 spring semester
Research on Stochastic Analysis
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Topics in Probability Theory A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Stochastic Analysis D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Stochastic Analysis C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Stochastic Analysis B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Stochastic Analysis A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Topics in Probability Theory B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Stochastic Analysis D
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Stochastic Analysis C
Graduate School of Fundamental Science and Engineering
2022 spring semester
Seminar on Stochastic Analysis B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Seminar on Stochastic Analysis A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Topics in Probability Theory B
Graduate School of Fundamental Science and Engineering
2022 fall semester
Topics in Probability Theory A
Graduate School of Fundamental Science and Engineering
2022 spring semester
Research on Stochastic Analysis
Graduate School of Fundamental Science and Engineering
2022 full year
Master's Thesis (Department of Pure and Applied Mathematics)
Graduate School of Fundamental Science and Engineering
2022 full year
Research on Stochastic Analysis
Graduate School of Fundamental Science and Engineering
2022 full year