World's Best Scientists 2026 revealed!
Takashi Kumagai

Takashi Kumagai

D-Index & Metrics

Mathematics

D-Index
36
Citations
4968
World Ranking
2663
National Ranking
43

Takashi Kumagai publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Takashi Kumagai sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 149 publications — 38th percentile

38% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Takashi Kumagai D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Takashi Kumagai sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 36 D-Index — 29th percentile

29% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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