LabCompass

Russell Lyons

Mathematics · Indiana University

OpenAlex ORCID
Established · publishing since 1977
Stochastic processes and statistical mechanicsMarkov Chains and Monte Carlo MethodsTheoretical and Computational PhysicsMathematical Dynamics and FractalsComplex Network Analysis Techniques

Publications

179

Citations

6,392

Est. group size

—

Recurring co-author estimate

Active years

50

Publishing since 1977

Research summary
AI-generated

Russell Lyons works in probability theory, studying how random processes such as random walks and spanning trees behave on networks, graphs, and geometric spaces. His research connects probability with related areas of mathematics including group theory, statistical mechanics, and the geometry of hyperbolic and homogeneous spaces. Much of the work is theoretical, involving proofs about the long-term or large-scale behavior of these random structures.

Random walks and stochastic processesRandom spanning trees and forests on graphsProbability on groups and networksStatistical mechanics and geometryRandom tessellations of hyperbolic space

Publication activity was steady at around 5-8 papers per year through 2020 but has slowed noticeably in recent years, averaging about one per year over the last five years.

Generated by claude-opus-4-8 from public bibliographic data · Jul 9, 2026

Funding
Public award records

Current awards run through June 2027 — about under a year of funding on record from today. Awards are often renewed, so this is what is currently public, not a forecast.

  • ActiveNSF 1954086through Jun 2027 · $333k awarded

    Probabilistic Models Tied to Group Theory, Analysis, and Ergodic Theory

4 earlier awards
  • NSF 1612363Sep 2016 – Aug 2020 · $150k awarded

    Interactions Among Probability, Group Theory, Analysis, and Ergodic Theory

  • NSF 1007244Jul 2010 – Jun 2017 · $303k awarded

    Interactions Among Probability, Group Theory, Graph Theory, and Ergodic Theory

  • NSF 1503743Mar 2015 – Feb 2016 · $15k awarded

    2015 Seymour Sherman Memorial Conference

  • NSF 0705518Jul 2007 – Jun 2011 · $285k awarded

    Probability and Discrete Structures

Matched to public NIH RePORTER and NSF records by name and institution. Awards from other agencies are not shown, and a match is not always found — this list may be incomplete.

In context
Among 247 established Mathematics PIs within our index
Citations: 6,392cohort median 1,977
h-index: 36cohort median 20
Publications / year (recent): 1.0cohort median 3

Typically publishes in teams of ~2 · 90% small-team papers (≤3 authors) · across 17 venues

Publication cadence
Publications per year over the last 10 years — averaging 1.0/year recently
2017: 7 publications172018: 7 publications182019: 5 publications192020: 8 publications8202021: 3 publications212022: 2 publications222023: 2 publications2324252026: 1 publication26
Collaborators per year
Distinct co-authors at Indiana University each year — a rough indication of whether the group around this researcher has been growing or contracting. An estimate from co-authorship, not a roster: collaborators are not necessarily lab members, and recent years can be under-counted while indexing catches up.
2017: 0 collaborators at the same institution2018: 0 collaborators at the same institution2019: 0 collaborators at the same institution2020: 2 collaborators at the same institution2021: 0 collaborators at the same institution2022: 0 collaborators at the same institution2023: 1 collaborator at the same institution2024: 0 collaborators at the same institution2025: 0 collaborators at the same institution1719212325
Recent publications
Publishes in
  • Cambridge University Press eBooks×17
  • arXiv (Cornell University)×12
  • The Annals of Probability×4
  • Annales de l Institut Henri Poincaré Probabilités et Statistiques×2
  • Combinatorics Probability Computing×2
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This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Sep 1, 2026.

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