Russell Lyons

5.9k total citations · 1 hit paper
73 papers, 2.3k citations indexed

About

Russell Lyons is a scholar working on Mathematical Physics, Statistics and Probability and Condensed Matter Physics. According to data from OpenAlex, Russell Lyons has authored 73 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 59 papers in Mathematical Physics, 23 papers in Statistics and Probability and 21 papers in Condensed Matter Physics. Recurrent topics in Russell Lyons's work include Stochastic processes and statistical mechanics (44 papers), Theoretical and Computational Physics (21 papers) and Mathematical Dynamics and Fractals (17 papers). Russell Lyons is often cited by papers focused on Stochastic processes and statistical mechanics (44 papers), Theoretical and Computational Physics (21 papers) and Mathematical Dynamics and Fractals (17 papers). Russell Lyons collaborates with scholars based in United States, France and Israel. Russell Lyons's co-authors include Yuval Peres, Robin Pemantle, Oded Schramm, David Aldous, Itaï Benjamini, Jeffrey E. Steif, Olle Häggström, Johan Jonasson, Scot Adams and Alexander S. Kechris and has published in prestigious journals such as Physical Review Letters, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Russell Lyons

70 papers receiving 2.1k citations

Hit Papers

Probability on Trees and Networks 2016 2026 2019 2022 2016 50 100 150 200 250
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Probability on Trees and Networks
    2016 287 citations Russell Lyons, Yuval Peres profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Russell Lyons United States 22 1.8k 1.1k 678 492 413 73 2.3k
Itaï Benjamini Israel 25 1.5k 0.9× 881 0.8× 551 0.8× 504 1.0× 395 1.0× 132 2.1k
Michaël Keane Netherlands 22 1.3k 0.7× 345 0.3× 266 0.4× 303 0.6× 573 1.4× 79 1.9k
Laurent Saloff‐Coste United States 23 1.6k 0.9× 812 0.8× 172 0.3× 803 1.6× 648 1.6× 80 3.1k
R. Daniel Mauldin United States 27 2.2k 1.2× 248 0.2× 309 0.5× 965 2.0× 623 1.5× 130 2.9k
James Propp United States 17 597 0.3× 766 0.7× 209 0.3× 376 0.8× 337 0.8× 66 1.8k
Alexei Borodin United States 28 1.7k 0.9× 2.0k 1.9× 440 0.6× 442 0.9× 83 0.2× 76 2.6k
Erwin Bolthausen Switzerland 24 1.3k 0.7× 784 0.7× 459 0.7× 114 0.2× 120 0.3× 71 1.9k
Jean‐François Le Gall France 22 1.4k 0.8× 373 0.4× 349 0.5× 233 0.5× 179 0.4× 57 1.7k
Wolfgang Woess Austria 23 1.3k 0.7× 325 0.3× 127 0.2× 989 2.0× 657 1.6× 89 1.9k
Dan Voiculescu United States 21 1.9k 1.1× 1.8k 1.7× 65 0.1× 543 1.1× 101 0.2× 36 2.8k

Countries citing papers authored by Russell Lyons

Since Specialization
Citations

This map shows the geographic impact of Russell Lyons'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 Russell Lyons with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Russell Lyons more than expected).

Fields of papers citing papers by Russell Lyons

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Russell Lyons. 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 Russell Lyons. The network helps show where Russell Lyons may publish in the future.

Co-authorship network of co-authors of Russell Lyons

This figure shows the co-authorship network connecting the top 25 collaborators of Russell Lyons. A scholar is included among the top collaborators of Russell Lyons 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 Russell Lyons. Russell Lyons 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.
Lyons, Russell, et al.. (2020). Occupation measure of random walks and wired spanning forests in balls of Cayley graphs. Annales de la faculté des sciences de Toulouse Mathématiques. 29(1). 97–109.
2.
Lyons, Russell, et al.. (2015). Crowdfunding to take-off in Australia?. 67(2). 100. 1 indexed citations
3.
Bowen, Lewis, Russell Lyons, Charles Radin, & Peter Winkler. (2006). Fluid-Solid Transition in a Hard-Core System. Physical Review Letters. 96(2). 25701–25701. 10 indexed citations
4.
Lyons, Russell, Yuval Peres, & Oded Schramm. (2006). Minimal spanning forests. The Annals of Probability. 34(5). 28 indexed citations
5.
Lyons, Russell. (2005). Asymptotic Enumeration of Spanning Trees. Combinatorics Probability Computing. 14(4). 491–522. 110 indexed citations
6.
Lyons, Russell & Jeffrey E. Steif. (2003). Stationary determinantal processes: Phase multiplicity, Bernoullicity, entropy, and domination. Duke Mathematical Journal. 120(3). 33 indexed citations
7.
Lyons, Russell & Jeffrey E. Steif. (2002). Stationary Determinantal Processes: Phase Transitions, Bernoullicity, Entropy, and Domination. arXiv (Cornell University). 2 indexed citations
8.
Lyons, Russell. (2000). Singularity of Some Random Continued Fractions. Journal of Theoretical Probability. 13(2). 535–545. 11 indexed citations
9.
Lyons, Russell, Robin Pemantle, & Yuval Peres. (1999). Resistance Bounds for First-Passage Percolation and Maximum Flow. Journal of Combinatorial Theory Series A. 86(1). 158–168. 9 indexed citations
10.
Ancona, Alano, Russell Lyons, & Yuval Peres. (1999). Crossing Estimates and Convergence of Dirichlet Functions Along Random Walk and Diffusion Paths. The Annals of Probability. 27(2). 10 indexed citations
11.
Lyons, Russell. (1996). Diffusions and Random Shadows in Negatively Curved Manifolds. Journal of Functional Analysis. 138(2). 426–448. 6 indexed citations
12.
Lyons, Russell. (1995). Random walks and the growth of groups. 320(11). 1361–1366. 23 indexed citations
13.
Lyons, Russell, Robin Pemantle, & Yuval Peres. (1995). Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure. Ergodic Theory and Dynamical Systems. 15(3). 593–619. 82 indexed citations
14.
Lyons, Russell & Kevin Zumbrun. (1994). Homogeneous Partial Derivatives of Radial Functions. Proceedings of the American Mathematical Society. 121(1). 315–315. 3 indexed citations
15.
Adams, Scot & Russell Lyons. (1991). Amenability, Kazhdan’s property and percolation for trees, groups and equivalence relations. Israel Journal of Mathematics. 75(2-3). 341–370. 21 indexed citations
16.
Lyons, Russell. (1988). Singular Measures with Spectral Gaps. Proceedings of the American Mathematical Society. 104(1). 86–86. 1 indexed citations
17.
Kechris, Alexander S. & Russell Lyons. (1988). Ordinal rankings on measures annihilating thin sets. Transactions of the American Mathematical Society. 310(2). 747–758. 6 indexed citations
18.
Lyons, Russell. (1987). On the structure of sets of uniqueness. Proceedings of the American Mathematical Society. 101(4). 644–646. 1 indexed citations
19.
Lyons, Russell. (1983). A Characterization of Measures Whose Fourier-Stieltjes Transforms Vanish At Infinity.. Deep Blue (University of Michigan). 1 indexed citations
20.
Lyons, Russell. (1982). Shorter Notes: A Lower Bound on the Cesaro Operator. Proceedings of the American Mathematical Society. 86(4). 694–694. 2 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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