Martin T. Barlow

1.9k total citations
38 papers, 854 citations indexed

About

Martin T. Barlow is a scholar working on Mathematical Physics, Statistics and Probability and Finance. According to data from OpenAlex, Martin T. Barlow has authored 38 papers receiving a total of 854 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Mathematical Physics, 13 papers in Statistics and Probability and 11 papers in Finance. Recurrent topics in Martin T. Barlow's work include Stochastic processes and statistical mechanics (24 papers), Markov Chains and Monte Carlo Methods (13 papers) and Stochastic processes and financial applications (11 papers). Martin T. Barlow is often cited by papers focused on Stochastic processes and statistical mechanics (24 papers), Markov Chains and Monte Carlo Methods (13 papers) and Stochastic processes and financial applications (11 papers). Martin T. Barlow collaborates with scholars based in Canada, United States and United Kingdom. Martin T. Barlow's co-authors include Takashi Kumagai, Edwin Perkins, Alexander Grigorʼyan, Ben Hambly, Richard F. Bass, Jǐŕı Černý, Steven N. Evans, Saul Jacka, Jean‐Dominique Deuschel and Siva Athreya and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and The Annals of Probability.

In The Last Decade

Martin T. Barlow

38 papers receiving 782 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Martin T. Barlow Canada 18 623 277 251 213 196 38 854
Shigeo Kusuoka Japan 19 640 1.0× 149 0.5× 360 1.4× 126 0.6× 321 1.6× 54 1.1k
M. Cranston United States 16 459 0.7× 118 0.4× 235 0.9× 99 0.5× 305 1.6× 44 755
Jean-Dominique Deuschel Germany 15 446 0.7× 271 1.0× 111 0.4× 175 0.8× 109 0.6× 25 610
Andreas Greven Germany 18 731 1.2× 249 0.9× 164 0.7× 303 1.4× 44 0.2× 62 836
Tokuzo Shiga Japan 16 786 1.3× 261 0.9× 407 1.6× 260 1.2× 63 0.3× 38 1.0k
Yves Guivarc’h France 17 768 1.2× 163 0.6× 121 0.5× 41 0.2× 150 0.8× 44 918
Peter Mörters United Kingdom 14 420 0.7× 138 0.5× 109 0.4× 118 0.6× 51 0.3× 64 651
William E. Pruitt United States 20 707 1.1× 237 0.9× 433 1.7× 78 0.4× 141 0.7× 43 1.1k
Ross G. Pinsky Israel 13 482 0.8× 123 0.4× 229 0.9× 41 0.2× 342 1.7× 67 852
Jon Aaronson Israel 17 1.0k 1.6× 128 0.5× 145 0.6× 65 0.3× 162 0.8× 57 1.2k

Countries citing papers authored by Martin T. Barlow

Since Specialization
Citations

This map shows the geographic impact of Martin T. Barlow's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Martin T. Barlow with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Martin T. Barlow more than expected).

Fields of papers citing papers by Martin T. Barlow

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Martin T. Barlow. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Martin T. Barlow. The network helps show where Martin T. Barlow may publish in the future.

Co-authorship network of co-authors of Martin T. Barlow

This figure shows the co-authorship network connecting the top 25 collaborators of Martin T. Barlow. A scholar is included among the top collaborators of Martin T. Barlow based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Martin T. Barlow. Martin T. Barlow is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Barlow, Martin T., Alexander Grigorʼyan, & Takashi Kumagai. (2012). On the equivalence of parabolic Harnack inequalities and heat kernel estimates. Journal of the Mathematical Society of Japan. 64(4). 44 indexed citations
2.
Barlow, Martin T., Jian Ding, Asaf Nachmias, & Yuval Peres. (2011). The Evolution of the Cover Time. Combinatorics Probability Computing. 20(3). 331–345. 11 indexed citations
3.
Barlow, Martin T., et al.. (2010). Exponential tail bounds for loop-erased random walk in two dimensions. The Annals of Probability. 38(6). 9 indexed citations
4.
Hambly, Ben & Martin T. Barlow. (2009). Parabolic Harnack inequality and local limit theorem for percolation clusters. Electronic Journal of Probability. 14(none). 33 indexed citations
5.
Barlow, Martin T., Alexander Grigorʼyan, & Takashi Kumagai. (2009). Heat kernel upper bounds for jump processes and the first exit time. Journal für die reine und angewandte Mathematik (Crelles Journal). 2009(626). 55 indexed citations
6.
Barlow, Martin T., Richard F. Bass, & Takashi Kumagai. (2008). Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps. Mathematische Zeitschrift. 261(2). 297–320. 27 indexed citations
7.
Barlow, Martin T., Antal A. Járai, Takashi Kumagai, & Gordon Slade. (2008). Random Walk on the Incipient Infinite Cluster for Oriented Percolation in High Dimensions. Communications in Mathematical Physics. 278(2). 385–431. 30 indexed citations
8.
Barlow, Martin T. & Takashi Kumagai. (2006). Random walk on the incipient infinite cluster on trees. Illinois Journal of Mathematics. 50(1-4). 39 indexed citations
9.
Barlow, Martin T.. (2002). A DIFFUSION MODEL FOR ELECTRICITY PRICES. Mathematical Finance. 12(4). 287–298. 11 indexed citations
10.
Athreya, Siva, Martin T. Barlow, Richard F. Bass, & Edwin Perkins. (2002). Degenerate stochastic differential equations and super-Markov chains. Probability Theory and Related Fields. 123(4). 484–520. 35 indexed citations
11.
Barlow, Martin T., Richard F. Bass, & Krzysztof Burdzy. (1997). Positivity of Brownian Transition Densities. Electronic Communications in Probability. 2(none). 1 indexed citations
12.
Barlow, Martin T. & Edwin Perkins. (1994). On the Filtration of Historical Brownian Motion. The Annals of Probability. 22(3). 13 indexed citations
13.
Barlow, Martin T., et al.. (1991). Stochastic Analysis. Cambridge University Press eBooks. 1 indexed citations
14.
Barlow, Martin T. & Saul Jacka. (1986). Tracking a Diffusion, and an Application to Weak Convergence. Advances in Applied Probability. 15–25. 3 indexed citations
15.
Barlow, Martin T. & Edwin Perkins. (1986). Brownian Motion at a Slow Point. Transactions of the American Mathematical Society. 296(2). 741–741. 1 indexed citations
16.
Barlow, Martin T., Edwin Perkins, & Samuel J. Taylor. (1986). Two uniform intrinsic constructions for the local time of a class of Lévy processes. Illinois Journal of Mathematics. 30(1). 9 indexed citations
17.
Barlow, Martin T.. (1985). Continuity of local times for L�vy processes. Probability Theory and Related Fields. 69(1). 23–35. 23 indexed citations
18.
Barlow, Martin T.. (1981). Zero-one laws for the excursions and range of a L�vy process. Probability Theory and Related Fields. 55(2). 149–163. 3 indexed citations
19.
Barlow, Martin T.. (1978). Study of a filtration expanded to include an honest time. Probability Theory and Related Fields. 44(4). 307–323. 46 indexed citations
20.
Barlow, Martin T.. (1978). Honest times and splitting times. Advances in Applied Probability. 10(2). 280–280. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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