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D-Index & Metrics

Mathematics

D-Index
40
Citations
8812
World Ranking
2013
National Ranking
850

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1990 - Fellow of Alfred P. Sloan Foundation

Overview

Russell Lyons is affiliated with Indiana University in the United States and works primarily in the field of mathematics. Their research spans multiple subfields including mathematical physics, geometry and topology, statistics and probability, molecular biology, and applied mathematics.

The main subjects of their research include stochastic processes and statistical mechanics, Markov chains and Monte Carlo methods, geometric and algebraic topology, mathematical dynamics and fractals, point processes and geometric inequalities, theoretical and computational physics, and algorithms and data compression.

Russell Lyons has published extensively, with notable papers including:

  • Poisson boundaries of lamplighter groups: proof of the Kaimanovich-Vershik conjecture (2020, Journal of the European Mathematical Society)
  • Lower bounds for trace reconstruction (2020, The Annals of Applied Probability)
  • Induced graphs of uniform spanning forests (2020, Annales de l'Institut Henri Poincaré Probabilités et Statistiques)
  • A reverse Aldous-Broder algorithm (2021, Annales de l'Institut Henri Poincaré Probabilités et Statistiques)
  • Explicit universal minimal constants for polynomial growth of groups (2022, Journal of Group Theory)

The scientist frequently collaborates with several co-authors, including Yuval Peres, Nina Holden, Xin Sun, Avinoam Mann, and Romain Tessera.

Russell Lyons has contributed to an array of publication venues, with multiple works appearing in:

  • arXiv (Cornell University)
  • The Annals of Applied Probability
  • Annales de l'Institut Henri Poincaré Probabilités et Statistiques
  • The Annals of Probability
  • Journal of the European Mathematical Society

Awards granted to Russell Lyons include the fellowship of the American Mathematical Society in 2013 and the Alfred P. Sloan Foundation fellowship in 1990.

Best Publications

  • Probability on Trees and Networks

    Russell Lyons;Yuval Peres

  • Processes on Unimodular Random Networks

    David J. Aldous;Russell Lyons

  • Conceptual proofs of L log L criteria for mean behavior of branching processes

    Russell Lyons;Robin Pemantle;Yuval Peres

  • Random Walks and Percolation on Trees

    Russell Lyons

  • Distance covariance in metric spaces

    Russell Lyons

  • Determinantal probability measures

    Russell Lyons;Russell Lyons

  • Uniform spanning forests

    Itai Benjamini;Russell Lyons;Yuval Peres;Oded Schramm

  • A Simple Path to Biggins’ Martingale Convergence for Branching Random Walk

    Russell Lyons

  • Asymptotic Enumeration of Spanning Trees

    Russell Lyons

  • The Spread of Evidence-Poor Medicine via Flawed Social-Network Analysis

    Russell Lyons

  • Group-invariant Percolation on Graphs

    I. Benjamini;R. Lyons;Y. Peres;O. Schramm

  • Random Walks, Capacity and Percolation on Trees

    Russell Lyons

  • Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure

    Russell Lyons;Robin Pemantle;Yuval Peres

  • The Ising model and percolation on trees and tree-like graphs

    Russell Lyons

  • Random Walk in a Random Environment and First-Passage Percolation on Trees

    Russell Lyons;Robin Pemantle

  • Biased random walks on Galton-Watson trees

    Russell Lyons;Robin Pemantle;Yuval Peres

  • Phase transitions on nonamenable graphs

    Russell Lyons

  • Indistinguishability of Percolation Clusters

    Russell Lyons;Oded Schramm

  • A Conceptual Proof of the Kesten-Stigum Theorem for Multi-Type Branching Processes

    Thomas Kurtz;Russell Lyons;Robin Pemantle;Yuval Peres

  • A measurable-group-theoretic solution to von Neumann’s problem

    Damien Gaboriau;Russell Lyons

Frequent Co-Authors

Oded Schramm
Oded Schramm Microsoft (United States)
Robin Pemantle
Robin Pemantle University of Pennsylvania
Itai Benjamini
Itai Benjamini Weizmann Institute of Science
David Aldous
David Aldous University of California, Berkeley
Kevin Zumbrun
Kevin Zumbrun Indiana University
Peter Winkler
Peter Winkler Dartmouth College
Alexander S. Kechris
Alexander S. Kechris California Institute of Technology
Charles Radin
Charles Radin The University of Texas at Austin
Fedor Nazarov
Fedor Nazarov Kent State University
Thomas G. Kurtz
Thomas G. Kurtz University of Wisconsin–Madison

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