World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
51
Citations
8466
World Ranking
1038
National Ranking
34

Martin T. Barlow 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 Martin T. Barlow 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: 131 publications — 27th percentile

27% of scientists in this discipline score the same or lower.

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

Martin T. Barlow 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 Martin T. Barlow 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: 51 D-Index — 73rd percentile

73% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2020 - Wald Memorial Lecturer
  • 2013 - Fellow of the American Mathematical Society
  • 2005 - Fellow of the Royal Society, United Kingdom
  • 1998 - Fellow of the Royal Society of Canada Academy of Science

Overview

Martin T. Barlow is affiliated with the University of British Columbia in Canada. Their research primarily spans the field of mathematics, with a notable focus on applied mathematics, modeling and simulation, economics and econometrics, oncology, and geometry and topology.

Their work covers several main topics, including:

  • COVID-19 epidemiological studies
  • COVID-19 pandemic impacts
  • COVID-19 and healthcare impacts
  • Advanced mathematical modeling in engineering
  • Advanced harmonic analysis research
  • Nonlinear partial differential equations
  • Geometric analysis and curvature flows

Barlow has published research in a variety of venues, with contributions to:

  • Royal Society Open Science
  • Potential Analysis
  • arXiv (Cornell University)
  • bioRxiv (Cold Spring Harbor Laboratory)

Recent papers include:

  • "Optimal shutdown strategies for COVID-19 with economic and mortality costs: British Columbia as a case study" (2021, Royal Society Open Science)
  • "Stability of EHI and regularity of MMD spaces" (2020, arXiv (Cornell University))
  • "Some Boundary Harnack Principles with Uniform Constants" (2021, Potential Analysis)
  • "Optimal shutdown strategies for COVID-19 with economic and mortality costs: BC as a case study" (2020, bioRxiv (Cold Spring Harbor Laboratory))

Frequent collaborators include Noah D. Marshall, Rebecca C. Tyson, Deniz Karlı, Zhen-Qing Chen, and Mathav Murugan.

The scientist has been recognized with several honors, such as:

  • Wald Memorial Lecturer (2020)
  • Fellow of the American Mathematical Society (2013)
  • Fellow of the Royal Society, United Kingdom (2005)
  • Fellow of the Royal Society of Canada with recognition from the Academy of Science (1998)

Best Publications

  • Brownian motion on the Sierpinski gasket

    Martin T. Barlow;Edwin A. Perkins

  • Diffusions on fractals

    Martin T. Barlow

  • A DIFFUSION MODEL FOR ELECTRICITY PRICES

    M. T. Barlow

  • Brownian Motion and Harmonic Analysis on Sierpinski Carpets

    Martin T. Barlow;Richard F. Bass

  • The construction of brownian motion on the Sierpinski carpet

    Martin T. Barlow;Richard F. Bass

  • Non-local dirichlet forms and symmetric jump processes

    Martin T. Barlow;Richard F. Bass;Zhen-Qing Chen;Moritz Kassmann

  • Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times

    M.T Barlow;M Yor

  • Random walks on supercritical percolation clusters

    Martin T. Barlow

  • Transition densities for Brownian motion on the Sierpinski carpet

    Martin T. Barlow;Richard F. Bass

  • The Liouville Property and a Conjecture of De Giorgi

    Martin T. Barlow;Richard F. Bass;Changfeng Gui

  • Stability of parabolic Harnack inequalities on metric measure spaces

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

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

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

  • On Walsh's Brownian motions

    Martin T. Barlow;Jim Pitman;Marc Yor

  • Uniqueness of Brownian motion on Sierpinski carpets

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

  • Manifolds and graphs with slow heat kernel decay

    Martin Barlow;Thierry Coulhon;Alexander Grigor’yan

  • Invariance principle for the random conductance model with unbounded conductances.

    Martin T. Barlow;Jean-Dominique Deuschel

  • Study of a filtration expanded to include an honest time

    M. T. Barlow

  • Stability of parabolic Harnack inequalities

    Martin T. Barlow;Richard F. Bass

  • Localized Eigenfunctions of the Laplacian on p.c.f. Self‐Similar Sets

    Martin T. Barlow;Jun Kigami

  • Random Walks and Heat Kernels on Graphs

    Martin T. Barlow

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

    Martin T. Barlow;Thierry Coulhoun;Takashi Kumagai

  • Brownian motion on the Sierpinski carpet

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

Frequent Co-Authors

Richard F. Bass
Richard F. Bass University of Connecticut
Takashi Kumagai
Takashi Kumagai Waseda University
Edwin Perkins
Edwin Perkins University of British Columbia
Marc Yor
Marc Yor Sorbonne University
Krzysztof Burdzy
Krzysztof Burdzy University of Washington
Alexander Grigor'yan
Alexander Grigor'yan Bielefeld University
Ben Hambly
Ben Hambly University of Oxford
Zhen-Qing Chen
Zhen-Qing Chen University of Washington
Jim Pitman
Jim Pitman University of California, Berkeley
Robin Pemantle
Robin Pemantle University of Pennsylvania

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