R
Russell Lyons
Researcher at Indiana University
Publications - 166
Citations - 8457
Russell Lyons is an academic researcher from Indiana University. The author has contributed to research in topics: Random walk & Cayley graph. The author has an hindex of 42, co-authored 164 publications receiving 7818 citations. Previous affiliations of Russell Lyons include Georgia Institute of Technology & Stanford University.
Papers
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Book
Probability on Trees and Networks
Russell Lyons,Yuval Peres +1 more
TL;DR: In this article, the authors present a state-of-the-art account of probability on networks, including percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks.
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Conceptual proofs of L log L criteria for mean behavior of branching processes
TL;DR: The Kesten-Stigum theorem is a fundamental criterion for the rate of growth of a supercritical branching process, showing that an $L \log L$ condition is decisive as mentioned in this paper.
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Processes on Unimodular Random Networks
David Aldous,Russell Lyons +1 more
TL;DR: In this article, the authors investigate unimodular random networks and their properties via reversibility of an associated random walk and their similarities to unimmodular quasi-transitive graphs, and extend various theorems concerning random walks, percolation, spanning forests, and amenability.
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Random Walks and Percolation on Trees
TL;DR: In this article, the authors define an average number of branches per vertex for an arbitrary infinite locally finite tree, which equals the exponential of the Hausdorff dimension of the boundary in an appropriate metric.
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Determinantal probability measures
Russell Lyons,Russell Lyons +1 more
TL;DR: In this paper, the authors studied basic combinatorial and probabilistic aspects in the discrete case of determinantal point processes, including relationships with matroids, stochastic domination, negative association, completeness for infinite matroid, tail triviality, and a method for extension of results from orthogonal projections to positive contractions.