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Takashi Kumagai

Takashi Kumagai

D-Index & Metrics

Mathematics

D-Index
36
Citations
4968
World Ranking
2662
National Ranking
43

Overview

Takashi Kumagai is affiliated with Waseda University in Japan and has contributed extensively to the field of mathematics, with a particular focus on stochastic processes and statistical mechanics. The scope of Kumagai's research spans several subfields of mathematics including mathematical physics, applied mathematics, statistics and probability, computational theory and mathematics, and condensed matter physics.

Their work addresses diverse topics such as stochastic processes and statistical mechanics, advanced mathematical modeling in engineering, Markov chains and Monte Carlo methods, theoretical and computational physics, mathematical dynamics and fractals, nonlinear partial differential equations, and geometric analysis and curvature flows.

Kumagai has published widely in numerous venues with recurring appearances in:

  • arXiv (Cornell University)
  • Probability Theory and Related Fields
  • Journal of Functional Analysis
  • Annales Fennici Mathematici
  • Oberwolfach Reports

Frequent collaborators include:

  • Zhen-Qing Chen
  • Laurent Saloff-Coste
  • Tianyi Zheng
  • Jian Wang

Some notable recent papers include:

  • "Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms" (2020, Journal of the European Mathematical Society)
  • "Stability of heat kernel estimates for symmetric non-local Dirichlet forms" (2021, Memoirs of the American Mathematical Society)
  • "Random conductance models with stable-like jumps: Heat kernel estimates and Harnack inequalities" (2020, Journal of Functional Analysis)
  • "Quenched Invariance Principle for a class of random conductance models with long-range jumps" (2020, arXiv (Cornell University))
  • "Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms" (2020, Advances in Mathematics)

Kumagai has also authored a book titled Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups, published by Springer International Publishing in 2023.

Best Publications

  • Heat kernel estimates for stable-like processes on d-sets

    Zhen-Qing Chen;Takashi Kumagai

  • Heat kernel estimates for jump processes of mixed types on metric measure spaces

    Zhen-Qing Chen;Takashi Kumagai

  • Random walks on disordered media and their scaling limits

    Takashi Kumagai

  • Estimates of transition densities for Brownian motion on nested fractals

    Takashi Kumagai

  • Stability of parabolic Harnack inequalities on metric measure spaces

    Martin T. Barlow;Richard F. Bass;Takashi Kumagai

  • Transition density estimates for Brownian motion on affine nested fractals

    Pat J. Fitzsimmons;Ben M. Hambly;Takashi Kumagai

  • On the equivalence of parabolic Harnack inequalities and heat kernel estimates

    Martin T. Barlow;Alexander Grigor'yan;Takashi Kumagai

  • Global heat kernel estimates for symmetric jump processes

    Zhen-Qing Chen;Panki Kim;Takashi Kumagai

  • Uniqueness of Brownian motion on Sierpinski carpets

    Martin T. Barlow;Richard F. Bass;Takashi Kumagai;Alexander Teplyaev

  • Transition Density Estimates for Diffusion Processes on Post Critically Finite Self-Similar Fractals

    B. M. Hambly;T. Kumagai

  • Heat kernel upper bounds for jump processes and the first exit time

    Martin T. Barlow;Alexander Grigor'yan;Takashi Kumagai

  • Weighted Poincaré inequality and heat kernel estimates for finite range jump processes

    Zhen-Qing Chen;Panki Kim;Takashi Kumagai

  • Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs

    Martin T. Barlow;Thierry Coulhoun;Takashi Kumagai

  • Random walk on the incipient infinite cluster on trees

    Martin T. Barlow;Takashi Kumagai

  • Heat Kernel Estimates for Strongly Recurrent Random Walk on Random Media

    Takashi Kumagai;Jun Misumi

  • Random Walk on the Incipient Infinite Cluster for Oriented Percolation in High Dimensions

    Martin T. Barlow;Antal A. Járai;Takashi Kumagai;Gordon Slade

  • Symmetric jump processes: Localization, heat kernels and convergence

    Richard F. Bass;Moritz Kassmann;Takashi Kumagai

  • Brownian Motion Penetrating Fractals: An Application of the Trace Theorem of Besov Spaces

    Takashi Kumagai

  • Heat Kernel Estimates and Parabolic Harnack Inequalities on Graphs and Resistance Forms

    Takashi Kumagai

  • On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces

    Zhen-Qing Chen;Zhen-Qing Chen;Panki Kim;Takashi Kumagai

  • A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps

    Zhen-Qing Chen;Takashi Kumagai

  • Brownian motion on the Sierpinski carpet

    Martin T. Barlow;Richard F. Bass;Takashi Kumagai;Alexander Teplyaev

Frequent Co-Authors

Zhen-Qing Chen
Zhen-Qing Chen University of Washington
Martin T. Barlow
Martin T. Barlow University of British Columbia
Panki Kim
Panki Kim Seoul National University
Ben Hambly
Ben Hambly University of Oxford
Richard F. Bass
Richard F. Bass University of Connecticut
Karl-Theodor Sturm
Karl-Theodor Sturm University of Bonn
Amir Dembo
Amir Dembo Stanford University
Gordon Slade
Gordon Slade University of British Columbia
Ofer Zeitouni
Ofer Zeitouni Weizmann Institute of Science
Laurent Saloff-Coste
Laurent Saloff-Coste Cornell University

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