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Stochastic processes on disordered media -- discrete models and their scaling limits

Research Project

Project/Area Number 25247007
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionKyoto University

Principal Investigator

Kumagai Takashi  京都大学, 数理解析研究所, 教授 (90234509)

Co-Investigator(Kenkyū-buntansha) 相川 弘明  北海道大学, 理学研究院, 教授 (20137889)
竹田 雅好  東北大学, 理学研究科, 教授 (30179650)
日野 正訓  京都大学, 情報学研究科, 准教授 (40303888)
舟木 直久  東京大学, 大学院数理科学研究科, 教授 (60112174)
木上 淳  京都大学, 情報学研究科, 教授 (90202035)
Co-Investigator(Renkei-kenkyūsha) SHIGEKAWA Ichiro  京都大学, 大学院理学研究科, 教授 (00127234)
KOTANI Motoko  東北大学, 大学院理学研究科, 教授 (50230024)
SHIRAI Tomoyuki  九州大学, 大学院マス・フォア・インダストリ研究所, 教授 (70302932)
FUKUSHIMA Ryoki  京都大学, 数理解析研究所, 准教授 (60527886)
Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥38,870,000 (Direct Cost: ¥29,900,000、Indirect Cost: ¥8,970,000)
Fiscal Year 2016: ¥7,930,000 (Direct Cost: ¥6,100,000、Indirect Cost: ¥1,830,000)
Fiscal Year 2015: ¥11,180,000 (Direct Cost: ¥8,600,000、Indirect Cost: ¥2,580,000)
Fiscal Year 2014: ¥11,050,000 (Direct Cost: ¥8,500,000、Indirect Cost: ¥2,550,000)
Fiscal Year 2013: ¥8,710,000 (Direct Cost: ¥6,700,000、Indirect Cost: ¥2,010,000)
Keywords確率論 / 数理物理 / 解析学 / 複雑系 / 統計力学 / 熱方程式 / 国際研究者交流 / イギリス:カナダ:アメリカ:フランス:中国 / イギリス:カナダ:アメリカ:フランス / イギリス:カナダ:ドイツ:韓国:アメリカ
Outline of Final Research Achievements

We studied dynamics on random media and their scaling limits in a systematical way. Our major achievements are as follows: i) We proved convergence of Markov chains on random conductances with boundaries under a wide framework. The convergence is with probability one with respect to the randomness of the media. ii) We proved sub-sequential convergence of the random walk on 2-dimensional uniform spanning tree, which is a random media whose scaling limit is conformal invariant, and gave detailed estimates of the heat kernel for the limiting process. iii) We proved stability of heat kernel estimates for symmetric jump processes on metric measure spaces. This was one of the major open problems in the area for more than 10 years.

Report

(5 results)
  • 2017 Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • 2013 Annual Research Report
  • Research Products

    (112 results)

All 2018 2017 2016 2015 2014 2013 Other

All Int'l Joint Research (15 results) Journal Article (38 results) (of which Int'l Joint Research: 14 results,  Peer Reviewed: 36 results,  Open Access: 3 results,  Acknowledgement Compliant: 8 results) Presentation (51 results) (of which Int'l Joint Research: 35 results,  Invited: 51 results) Book (2 results) Remarks (3 results) Funded Workshop (3 results)

  • [Int'l Joint Research] University of British Columbia(Canada)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Fujian Normal University(China)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Seoul National University(韓国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] University of Oxford/University of Warwick(United Kingdom)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Stanford University/University of Washington(米国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] University of Washington/Stanford University(米国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] University of British Columbia(カナダ)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Fujian Normal University(中国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Aix Marseille Universite(フランス)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] University of Oxford/University of Warwick(英国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] University of British Columbia(Canada)

    • Related Report
      2014 Annual Research Report
  • [Int'l Joint Research] University of Warwick(United Kingdom)

    • Related Report
      2014 Annual Research Report
  • [Int'l Joint Research] University of Washington(米国)

    • Related Report
      2014 Annual Research Report
  • [Int'l Joint Research] Aix Marseille Universite(France)

    • Related Report
      2014 Annual Research Report
  • [Int'l Joint Research] Universite de Constantine(Algeria)

    • Related Report
      2014 Annual Research Report
  • [Journal Article] Elliptic Harnack inequalities for symmetric non-local Dirichlet forms.2018

    • Author(s)
      Z.-Q. Chen, T. Kumagai and J. Wang
    • Journal Title

      J. Math. Pures Appl.

      Volume: 掲載予定

    • NAID

      120007147052

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Completely symmetric resistance forms on the stretched Sierpinski gasket.2018

    • Author(s)
      P. Alonso Ruiz, U. Freiberg and J. Kigami
    • Journal Title

      Journal of Fractal Geometry

      Volume: 掲載予定

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Time-changes of stochastic processes associated with resistance forms2017

    • Author(s)
      D.A. Croydon, B.M. Hambly and T. Kumagai
    • Journal Title

      Electron. J. Probab. 22

      Volume: no. 82 Issue: none Pages: 1-41

    • DOI

      10.1214/17-ejp99

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A coupled KPZ equation, its two types of approximations and existence of global solutions2017

    • Author(s)
      T. Funaki and M. Hoshino
    • Journal Title

      J. Funct. Anal.

      Volume: 273 Issue: 3 Pages: 1165-1204

    • DOI

      10.1016/j.jfa.2017.05.002

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Compactness of Markov and Schroedinger semi-groups: a probabilistic approach.2017

    • Author(s)
      M. Takeda, Y. Tawara and K. Tsuchida
    • Journal Title

      Osaka J. Math.

      Volume: 54

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Indices of Dirichlet forms.2017

    • Author(s)
      M. Hino
    • Journal Title

      Sugaku Expositions

      Volume: 30 Issue: 2 Pages: 187-205

    • DOI

      10.1090/suga/423

    • NAID

      130006882590

    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] Subsequential scaling limits of simple random walk on the two-dimensional uniform spanning tree2017

    • Author(s)
      M.T. Barlow, D.A. Croydon and T. Kumagai
    • Journal Title

      Ann. Probab.

      Volume: 45 Issue: 1 Pages: 4-55

    • DOI

      10.1214/15-aop1030

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Laws of the iterated logarithm for symmetric jump processes2017

    • Author(s)
      P. Kim, T. Kumagai and J. Wang
    • Journal Title

      Bernoulli

      Volume: 掲載予定

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Laws of the iterated logarithm for random walks on Random Conductance Models.2016

    • Author(s)
      T. Kumagai and C. Nakamura
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B59

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dichotomy of global density of Riesz capacity2016

    • Author(s)
      H. Aikawa
    • Journal Title

      Studia Math.

      Volume: 232 Pages: 267-278

    • DOI

      10.4064/sm8511-4-2016

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Large time asymptotics of Feynman-Kac functionals for symmetric stable processes2016

    • Author(s)
      M. Takeda, M. Wada
    • Journal Title

      Math. Nachr.

      Volume: 289 Issue: 16 Pages: 2069-2082

    • DOI

      10.1002/mana.201500136

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances2016

    • Author(s)
      R. Huang and T. Kumagai
    • Journal Title

      Electron. Commun. Probab.

      Volume: 21 Issue: none Pages: 1-11

    • DOI

      10.1214/15-ecp4347

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Construction of a domain that fails the global boundary Harnack principle via the Helmholtz equation2016

    • Author(s)
      H. Aikawa
    • Journal Title

      J. London Math. Soc.

      Volume: 93 Issue: 3 Pages: 721-740

    • DOI

      10.1112/jlms/jdw016

    • NAID

      120006313413

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Criticality for Schr\"odinger type operators based on recurrent symmetric stable processes2016

    • Author(s)
      M. Takeda
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 368 Issue: 1 Pages: 149-167

    • DOI

      10.1090/tran/6319

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Some properties of energy measures on Sierpinski gasket type fractals2016

    • Author(s)
      M. Hino
    • Journal Title

      J. Fractal Geom.

      Volume: 3 Issue: 3 Pages: 245-263

    • DOI

      10.4171/jfg/36

    • NAID

      120006473820

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model2015

    • Author(s)
      O. Boukhadra, T. Kumagai and P. Mathieu
    • Journal Title

      J. Math. Soc. Japan

      Volume: 67 Issue: 4 Pages: 1413-1448

    • DOI

      10.2969/jmsj/06741413

    • NAID

      130005108951

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates2015

    • Author(s)
      E. Bolthausen, T. Chiyonobu and T. Funaki
    • Journal Title

      J. Math. Soc. Japan

      Volume: 67 Issue: 4 Pages: 1359-1412

    • DOI

      10.2969/jmsj/06741359

    • NAID

      130005108946

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Infinitesimal Invariance for the Coupled KPZ Equations2015

    • Author(s)
      T. Funaki
    • Journal Title

      Memoriam Marc Yor -- S\'eminaire de Probabilit\'es XLVII, Lect. Notes Math.

      Volume: 2137 Pages: 37-47

    • DOI

      10.1007/978-3-319-18585-9_3

    • ISBN
      9783319185842, 9783319185859
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Boundary Harnack inequality for Markov processes with jumps2015

    • Author(s)
      K. Bogdan, T. Kumagai and M. Kwaśnicki
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 367 Issue: 1 Pages: 477-517

    • DOI

      10.1090/s0002-9947-2014-06127-8

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence and uniqueness of solutions to stochastic Rayleigh-Plesset equations2015

    • Author(s)
      T. Funaki, M. Ohnawa, Y. Suzuki, S. Yokoyama
    • Journal Title

      . Math. Anal. Appl.

      Volume: 425 Issue: 1 Pages: 20-32

    • DOI

      10.1016/j.jmaa.2014.12.018

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Intrinsic ultracontractivity via capacitary width2015

    • Author(s)
      H. Aikawa
    • Journal Title

      Rev. Mat. Iberoamericana

      Volume: 31 Issue: 3 Pages: 1041-1106

    • DOI

      10.4171/rmi/863

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Functions of locally bounded variation on Wiener spaces2015

    • Author(s)
      Masanori Hino
    • Journal Title

      Festschrift Masatoshi Fukushima: In Honor of Masatoshi Fukushima's Sanju

      Volume: N/A Pages: 219-236

    • DOI

      10.1142/9789814596534_0013

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Quenched invariance principles for random walks and elliptic diffusions in random media with boundary2015

    • Author(s)
      Z.-Q. Chen, D.A. Croydon and T. Kumagai
    • Journal Title

      Ann. Probab.

      Volume: 掲載予定

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Anomalous random walks and diffusions: From fractals to random media2014

    • Author(s)
      T. Kumagai
    • Journal Title

      Proceedings of the ICM Seoul 2014

      Volume: IV Pages: 75-94

    • Related Report
      2014 Annual Research Report
    • Open Access / Acknowledgement Compliant
  • [Journal Article] Equivalence of ensembles under inhomogeneous conditioning and its applications to random Young diagrams2014

    • Author(s)
      T. Funaki
    • Journal Title

      J. Stat. Phys.

      Volume: 154 Issue: 1-2 Pages: 588-609

    • DOI

      10.1007/s10955-013-0841-6

    • Related Report
      2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle2014

    • Author(s)
      H. Aikawa
    • Journal Title

      J. Anal. Math.

      Volume: 124 Issue: 1 Pages: 83-116

    • DOI

      10.1007/s11854-014-0028-3

    • Related Report
      2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Criticality and subcriticality of generalized Schrodinger forms2014

    • Author(s)
      M. Takeda
    • Journal Title

      Illinois J. Math.

      Volume: 58 Pages: 251-277

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geodesic distances and intrinsic distances on some fractal sets2014

    • Author(s)
      Masanori Hino
    • Journal Title

      Publ. Res. Inst. Math. Sci.

      Volume: 50 Issue: 2 Pages: 181-205

    • DOI

      10.4171/prims/129

    • NAID

      110009813980

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] ディリクレ形式における指数2014

    • Author(s)
      日野正訓
    • Journal Title

      数学

      Volume: 66 Pages: 61-77

    • NAID

      130006882590

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Biased random walk on critical Galton-Watson trees conditioned to survive2013

    • Author(s)
      D.A. Croydon, A. Fribergh, and T. Kumagai
    • Journal Title

      Probab. Theory Relat. Fields

      Volume: 157 Issue: 1-2 Pages: 453-507

    • DOI

      10.1007/s00440-012-0462-z

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Markov chain approximations to non-symmetric diffusions with bounded coefficients2013

    • Author(s)
      J.-D. Deuschel, and T. Kumagai
    • Journal Title

      Comm. Pure Appl. Math.

      Volume: 66,no. 6 Issue: 6 Pages: 821-866

    • DOI

      10.1002/cpa.21447

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fluctuations of recentered maxima of discrete Gaussian Free Fields on a class of recurrent graphs2013

    • Author(s)
      T. Kumagai, and Zeitouni
    • Journal Title

      Electron. Commun. Probab.

      Volume: 18 Issue: none Pages: 1-12

    • DOI

      10.1214/ecp.v18-2632

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fluctuations in an evolutional model of two-dimensional Young diagrams2013

    • Author(s)
      T. Funaki, M. Sasada, M. Sauer and B. Xie
    • Journal Title

      Stoch. Proc. Appl.

      Volume: 123 Issue: 4 Pages: 1229-1275

    • DOI

      10.1016/j.spa.2012.12.005

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A tightness property of a symmetric Markov process and the uniform large deviation principle2013

    • Author(s)
      竹田雅好
    • Journal Title

      Proc. Amer. Math. Soc

      Volume: 141 Issue: 12 Pages: 4371-4383

    • DOI

      10.1090/s0002-9939-2013-11696-5

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A large deviation principle for symmetric Markov processes2013

    • Author(s)
      M. Takeda and Y. Tawara
    • Journal Title

      Osaka J. Math.

      Volume: 50 Pages: 287-307

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Measurable Riemannian stru- ctures associated with strong local Dirichlet forms2013

    • Author(s)
      M. Hino
    • Journal Title

      Math. Nachr.

      Volume: 286 Issue: 14-15 Pages: 1466-1478

    • DOI

      10.1002/mana.201200061

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Upper estimate of martingale dimension for self-similar fractals2013

    • Author(s)
      M. Hino
    • Journal Title

      10.1007/s00440-012-0442-3

      Volume: 156 Pages: 739-793

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Transitions on a noncompact Cantor set and random walks on its defining tree2013

    • Author(s)
      Jun Kigami
    • Journal Title

      Ann. Inst. Henri Poincaré Probab. Stat.

      Volume: 49 Issue: 4 Pages: 1090-1129

    • DOI

      10.1214/12-aihp496

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Presentation] Criticality and Subcriticality for Positive Schroedinger Forms2017

    • Author(s)
      M. Takeda
    • Organizer
      Dirichlet forms and their geometry
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An integrated version of Varadhan's asymptotics for lower order perturbations of strong local Dirichlet forms2017

    • Author(s)
      M. Hino
    • Organizer
      Dirichlet forms and their geometry
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Completely symmetric resistance forms on the stretched Sierpinski gasket2017

    • Author(s)
      J. Kigami
    • Organizer
      Dirichlet forms and their geometry
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Topics in stochastic partial differential equations2016

    • Author(s)
      T. Funaki
    • Organizer
      UK-Japan Winter School: Classic and Stochastic Geometric Mechanics
    • Place of Presentation
      ロンドン(イギリス)
    • Year and Date
      2016-01-04
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces2016

    • Author(s)
      T. Kumagai
    • Organizer
      Stochastic Partial Differential Equations and Related Fields
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Time changes of stochastic processes associated with resistance forms2016

    • Author(s)
      T. Kumagai
    • Organizer
      Random Structures in High Dimensions
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lamplighter random walks on fractals2016

    • Author(s)
      T. Kumagai
    • Organizer
      3rd Workshop on Probability Theory and its Applications
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 複雑な系の上の異常拡散現象の解析2016

    • Author(s)
      熊谷隆
    • Organizer
      日本数学会秋季総合分科会、企画特別講演
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Coupled KPZ equation2016

    • Author(s)
      T. Funaki
    • Organizer
      Stochastic Partial Differential Equations and Applications - X"
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Sharp interface limit for a stochastically perturbed mass conserving Allen-Cahn equation2016

    • Author(s)
      T. Funaki
    • Organizer
      Stochastic Partial Differential Equations and Related Fields
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Coupled KPZ equation2016

    • Author(s)
      T. Funaki
    • Organizer
      Large Scale Stochastic Dynamics
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Boundary Harnack Principle and smoothness of the domain2016

    • Author(s)
      H. Aikawa
    • Organizer
      XVIIIth Conference on Analytic Functions and Related Topics
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Minimal smoothness for the global boundary Harnack principle2016

    • Author(s)
      H. Aikawa
    • Organizer
      3rd Workshop on Probability Theory and its Applications
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Spectral properties of symmetric Markov processes with tightness property2016

    • Author(s)
      M. Takeda
    • Organizer
      Stochastic Partial Differential Equations and Related Fields
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Integrated version of Varadhan's asymptotics for first-order perturbations of strong local Dirichlet forms2016

    • Author(s)
      M. Hino
    • Organizer
      The 8th International Conference on Stochastic Analysis and Its Applications
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Recent topics on random conductance model2016

    • Author(s)
      T. Kumagai
    • Organizer
      2016 Spring Probability Workshop at Academia Sinica
    • Place of Presentation
      Academia Sinica (台湾)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 緊密性を持つ対称マルコフ過程のスペクトル的性質について2016

    • Author(s)
      竹田雅好
    • Organizer
      マルコフ過程とその周辺
    • Place of Presentation
      ヴェルク横須賀研修室(神奈川県横須賀市)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Time change of Brownian motion: Poincare inequality, heat kernel estimate and protodistance2016

    • Author(s)
      J. Kigami
    • Organizer
      2016 Joint Mathematics Meeting, AMS special session “Fractal Geometry and Dynamical Systems”
    • Place of Presentation
      Seattle (USA)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic PDEs and random motion of fronts2015

    • Author(s)
      T. Funaki
    • Organizer
      Mathematics Colloquium, University of Arizona
    • Place of Presentation
      アリゾナ(米国)
    • Year and Date
      2015-03-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Stability of heat kernel estimates and parabolic Harnack inequalities for jump processes on metric measure spaces2015

    • Author(s)
      T. Kumagai
    • Organizer
      SPA 2015 at Oxford
    • Place of Presentation
      Oxford (UK)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Anomalous random walks and diffusions in random media2015

    • Author(s)
      T. Kumagai
    • Organizer
      International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics
    • Place of Presentation
      早稲田大学(東京都新宿区)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Harnack inequalities and local CLT for the polynomial lower tail random conductance model2015

    • Author(s)
      T. Kumagai
    • Organizer
      RIMS workshop “Stochastic Analysis”
    • Place of Presentation
      京都大学(京都府京都市)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Coupled KPZ equations2015

    • Author(s)
      T. Funaki
    • Organizer
      Current Topics in Mathematical Physics and Probability
    • Place of Presentation
      海南島三亜(中国)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dichotomy of global capacity density, Analysseminarium2015

    • Author(s)
      H. Aikawa
    • Organizer
      Analysseminarium, チャルマーシュ大学
    • Place of Presentation
      ヨーテボリ (Sweden)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Elliptic and parabolic boundary Harnack principles for nonsmooth domains, PDEs2015

    • Author(s)
      H. Aikawa
    • Organizer
      Potential Theory, and Function Spaces
    • Place of Presentation
      リンショーピング (Sweden)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the distribution of energy measures on Sierpinski gasket type fractals2015

    • Author(s)
      M. Hino
    • Organizer
      International Conference on Stochastic Analysis and Related Topics
    • Place of Presentation
      Wuhan (中国)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Toward stochastic differential calculus based on measurable Riemannian structures2015

    • Author(s)
      M. Hino
    • Organizer
      Stochastic Analysis
    • Place of Presentation
      数理解析研究所(京都府京都市)
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Anomalous random walks and their scaling limits: From fractals to random media2014

    • Author(s)
      T. Kumagai
    • Organizer
      Colloquium at Humboldt University
    • Place of Presentation
      ベルリン(ドイツ)
    • Year and Date
      2014-10-29
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Functions of locally bounded variation on Wiener spaces2014

    • Author(s)
      M. Hino
    • Organizer
      Oberwolfach Meeting, Oberwolfach Institute
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Year and Date
      2014-10-22
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dirichlet forms on p-adic numbers and random walks on the associated tree2014

    • Author(s)
      J. Kigami
    • Organizer
      Oberwolfach Meeting, Oberwolfach Institute
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Year and Date
      2014-10-21
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Criticality and Subcriticality of Generalized Schrodinger Forms2014

    • Author(s)
      M. Takeda
    • Organizer
      Oberwolfach Meeting, Oberwolfach Institute
    • Place of Presentation
      Oberwolfach(ドイツ)
    • Year and Date
      2014-10-20
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Anomalous random walks and diffusions: From fractals to random media2014

    • Author(s)
      T. Kumagai
    • Organizer
      ICM Seoul 2014
    • Place of Presentation
      ソウル(韓国)
    • Year and Date
      2014-08-14
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] xtended Harnack inequalities with exceptional sets and its applications2014

    • Author(s)
      H. Aikawa
    • Organizer
      The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications; Dongguk University
    • Place of Presentation
      Gyeongju(韓国)
    • Year and Date
      2014-08-09
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle2014

    • Author(s)
      H. Aikawa
    • Organizer
      7th International Conference on Stochastic Analysis and its Applications; Seoul National University
    • Place of Presentation
      ソウル(韓国)
    • Year and Date
      2014-08-06
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Heat kernel estimates and local CLT for random walk among random conductances with a power-law tail near zero2014

    • Author(s)
      T. Kumagai
    • Organizer
      ASC-IMS 2014 Annual Meeting at Sydney
    • Place of Presentation
      シドニー(オーストラリア)
    • Year and Date
      2014-07-07
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Volume doubling property, quasisymmetry and heat kernels2014

    • Author(s)
      J. Kigami
    • Organizer
      ASC-IMS 2014 Annual Meeting at Sydney
    • Place of Presentation
      シドニー(オーストラリア)
    • Year and Date
      2014-07-07
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] To choose a proper minimizer of variational problem derived from microscopic system2014

    • Author(s)
      T. Funaki
    • Organizer
      Miniworkshop on Mathematical Biology, Universite de Paris-Sud
    • Place of Presentation
      パリ(フランス)
    • Year and Date
      2014-06-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Sharp interface limit for mass conserving Allen-Cahn equation with stochastic term2014

    • Author(s)
      T. Funaki
    • Organizer
      Mathematics and its applications to complex phenomena arising in biology, chemistry and medicine, CIRM, Luminy
    • Place of Presentation
      マルセーユ(フランス)
    • Year and Date
      2014-06-04
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Simple random walk on the two-dimensional uniform spanning tree and its scaling limits2014

    • Author(s)
      T. Kumagai
    • Organizer
      EPSRC Symposium on Statistical Mechanics: Gradient random fields
    • Place of Presentation
      Warwick(英国)
    • Year and Date
      2014-05-27
    • Related Report
      2014 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quenched Invariance Principles for Random Walks and Random Divergence Forms in Random Media with a Boundary

    • Author(s)
      熊谷隆
    • Organizer
      PRIMA 2013
    • Place of Presentation
      Shanghai Jiao Tong University
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Fluctuations of recentered maxima of discrete Gaussian Free Fields on a class of recurrent graphs

    • Author(s)
      熊谷隆
    • Organizer
      The Asian Mathematical Conference 2013
    • Place of Presentation
      BEXCO, Busan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Biased random walk on critical Galton-Watson trees conditioned to survive

    • Author(s)
      熊谷隆
    • Organizer
      Random media
    • Place of Presentation
      TU-Berlin
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Invariant measures for a linear stochastic heat equation related to the KPZ equation

    • Author(s)
      舟木直久
    • Organizer
      36th Conference on Stochastic Processes and their Applications
    • Place of Presentation
      University of Colorado Boulder
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] KPZ equation, its renormalization and invariant measures

    • Author(s)
      舟木直久
    • Organizer
      Large Scale Stochastic Dynamics
    • Place of Presentation
      Oberwolfach
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Intrinsic ultracontractivity and the boundary Harnack principle -- a unified approach with capacitary width

    • Author(s)
      相川弘明
    • Organizer
      Evolutionary problems Seminar
    • Place of Presentation
      Institut Mittag-Leffler (Sweden)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Extended Harnack inequalities with exceptional sets and a boundary Harnack principle.

    • Author(s)
      相川弘明
    • Organizer
      Analysis and geometry seminar
    • Place of Presentation
      Aalto University (Finland)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] A variational formula for Dirichlet forms and existence of ground states

    • Author(s)
      竹田雅好
    • Organizer
      Dirichlet Forms and Applications
    • Place of Presentation
      University of Leipzig
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Measurable Riemannian structures associated with Dirichlet forms,

    • Author(s)
      日野正訓
    • Organizer
      The Asian Mathematical Conference 2013
    • Place of Presentation
      BEXCO, Busan
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 無限次元空間に関する2,3の話題

    • Author(s)
      日野正訓
    • Organizer
      RIMS研究集会「確率解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Partition, volume doubling property and quasisymmetry

    • Author(s)
      木上淳
    • Organizer
      Interaction Between Analysis and Geometry, Workshop III: Non-smooth geometry
    • Place of Presentation
      IPAM, UCLA
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Analyses on measure metric spaces: Cheeger construction and measurable Riemannian geometry

    • Author(s)
      木上淳
    • Organizer
      Recent Trends in Stochastic Analysis
    • Place of Presentation
      PIMS, University of British Columbia
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Book] Lectures on random interfaces2016

    • Author(s)
      T. Funaki
    • Total Pages
      138
    • Publisher
      Springer
    • ISBN
      9789811008498
    • Related Report
      2016 Annual Research Report
  • [Book] Random Walks on Disordered Media and their Scaling Limits.2014

    • Author(s)
      T. Kumagai
    • Total Pages
      147
    • Publisher
      Springer
    • Related Report
      2013 Annual Research Report
  • [Remarks] Takashi Kumagai's home page

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kumagai/kumpre.html

    • Related Report
      2016 Annual Research Report 2015 Annual Research Report
  • [Remarks] Preprints and related papers of Takashi Kumagai

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kumagai/kumpre.html

    • Related Report
      2014 Annual Research Report
  • [Remarks] Preprints and Refereed Papers of Takashi Kumagai

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kumagai/kumpre.html

    • Related Report
      2013 Annual Research Report
  • [Funded Workshop] Heat Kernels, Stochastic Processes and Functional Inequalities (Oberwolfach)2016

    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] RIMS workshop Stochastic Analysis2015

    • Place of Presentation
      京都大学理学研究科
    • Year and Date
      2015-09-07
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] RIMS workshop Stochastic Analysis2015

    • Place of Presentation
      京都大学(京都府、京都市)
    • Year and Date
      2015-09-07
    • Related Report
      2014 Annual Research Report

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Published: 2013-05-15   Modified: 2022-02-22  

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