2026 Martin T. Barlow: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	51	1038	885	34	29	131	8466

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1038

885

131

8466

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)

Best Publications

Brownian motion on the Sierpinski gasket

Martin T. Barlow;Edwin A. Perkins

730
Citations
Diffusions on fractals

Martin T. Barlow

587
Citations
A DIFFUSION MODEL FOR ELECTRICITY PRICES

M. T. Barlow

451
Citations
Brownian Motion and Harmonic Analysis on Sierpinski Carpets

Martin T. Barlow;Richard F. Bass

374
Citations
The construction of brownian motion on the Sierpinski carpet

Martin T. Barlow;Richard F. Bass

305
Citations
Non-local dirichlet forms and symmetric jump processes

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

298
Citations
Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times

M.T Barlow;M Yor

255
Citations
Random walks on supercritical percolation clusters

Martin T. Barlow

244
Citations
Transition densities for Brownian motion on the Sierpinski carpet

Martin T. Barlow;Richard F. Bass

213
Citations
The Liouville Property and a Conjecture of De Giorgi

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

182
Citations
Stability of parabolic Harnack inequalities on metric measure spaces

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

166
Citations
On the equivalence of parabolic Harnack inequalities and heat kernel estimates

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

153
Citations
On Walsh's Brownian motions

Martin T. Barlow;Jim Pitman;Marc Yor

147
Citations
Uniqueness of Brownian motion on Sierpinski carpets

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

145
Citations
Manifolds and graphs with slow heat kernel decay

Martin Barlow;Thierry Coulhon;Alexander Grigor’yan

142
Citations
Invariance principle for the random conductance model with unbounded conductances.

Martin T. Barlow;Jean-Dominique Deuschel

140
Citations
Study of a filtration expanded to include an honest time

M. T. Barlow

135
Citations
Stability of parabolic Harnack inequalities

Martin T. Barlow;Richard F. Bass

131
Citations
Localized Eigenfunctions of the Laplacian on p.c.f. Self‐Similar Sets

Martin T. Barlow;Jun Kigami

129
Citations
Random Walks and Heat Kernels on Graphs

Martin T. Barlow

127
Citations
Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs

Martin T. Barlow;Thierry Coulhoun;Takashi Kumagai

115
Citations
Brownian motion on the Sierpinski carpet

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

30
Citations

Frequent Co-Authors

Richard F. Bass University of Connecticut

Takashi Kumagai Waseda University

Edwin Perkins University of British Columbia

Marc Yor Sorbonne University

Krzysztof Burdzy University of Washington

Alexander Grigor'yan Bielefeld University

Ben Hambly University of Oxford

Zhen-Qing Chen University of Washington

Jim Pitman University of California, Berkeley

Robin Pemantle University of Pennsylvania

External Links

Wikipedia of Martin T. Barlow Personal website of Martin T. Barlow Google Scholar page

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