Publications (46)
Uniform non-amenability, cost, and the first l^2-Betti number
Russell Lyons, Mikaël Pichot, Stéphane Vassout
A transient Markov chain with finitely many cutpoints
Nicholas James, Russell Lyons, Yuval Peres
Fluid/solid transition in a hard-core system
Lewis Bowen, Russell Lyons, Charles Radin +1
Factors of IID on Trees
Russell Lyons
Singularity of Some Random Continued Fractions
Russell Lyons
Markov Chain Intersections and the Loop-Erased Walk
Russell Lyons, Yuval Peres, Oded Schramm
Explicit isoperimetric constants and phase transitions in the random-cluster model
Olle Haggstrom, Johan Jonasson, Russell Lyons
Percolation Perturbations in Potential Theory and Random Walks
Itai Benjamini, Russell Lyons, Oded Schramm
A calculus proof of the Cramér-Wold theorem
Russell Lyons, Kevin Zumbrun
Hyperbolic Space Has Strong Negative Type
Russell Lyons
Recurrence of random walk traces
Itai Benjamini, Ori Gurel-Gurevich, Russell Lyons
Stationary Measures for Random Walks in a Random Environment with Random Scenery
Russell Lyons, Oded Schramm
Sharp Bounds on Random Walk Eigenvalues via Spectral Embedding
Russell Lyons, Shayan Oveis Gharan
Stationary Determinantal Processes: Phase Multiplicity, Bernoullicity, Entropy, and Domination
Russell Lyons, Jeffrey E. Steif
Asymptotic Enumeration of Spanning Trees
Russell Lyons
A Measurable-Group-Theoretic Solution to von Neumann's Problem
Damien Gaboriau, Russell Lyons
Coupling and Bernoullicity in random-cluster and Potts models
Olle Haggstrom, Johan Jonasson, Russell Lyons
Ladder Sandpiles
Antal A. Járai, Russell Lyons
Determinantal Probability: Basic Properties and Conjectures
Russell Lyons
Identities and Inequalities for Tree Entropy
Russell Lyons
A Simple Path to Biggins' Martingale Convergence for Branching Random Walk
Russell Lyons
Random Walk in a Random Environment and First-Passage Percolation on Trees
Robin Pemantle, Russell Lyons
Poisson splitting by factors
Alexander E. Holroyd, Russell Lyons, Terry Soo
Invariant Coupling of Determinantal Measures on Sofic Groups
Russell Lyons, Andreas Thom
Random Orderings and Unique Ergodicity of Automorphism Groups
Omer Angel, Alexander S. Kechris, Russell Lyons
The Spread of Evidence-Poor Medicine via Flawed Social-Network Analysis
Russell Lyons
Determinantal probability measures
Russell Lyons
Phase Transitions on Nonamenable Graphs
Russell Lyons
A Note on Tail Triviality for Determinantal Point Processes
Russell Lyons
Conceptual Proofs of L log L Criteria
Russell Lyons, Robin Pemantle, Yuval Peres
Unimodular Random Trees
Itai Benjamini, Russell Lyons, Oded Schramm
Monotonicity of average return probabilities for random walks in random environments
Russell Lyons
Growth of the Number of Spanning Trees of the Erdös-Rényi Giant Component
Russell Lyons, Ron Peled, Oded Schramm
Lower bounds for trace reconstruction
Nina Holden, Russell Lyons
Perfect Matchings as IID Factors on Non-Amenable Groups
Russell Lyons, Fedor Nazarov
Comparing Graphs of Different Sizes
Russell Lyons
Szego limit theorems
Russell Lyons
Indistinguishability of Percolation Clusters
Russell Lyons, Oded Schramm
Cycle density in infinite Ramanujan graphs
Russell Lyons, Yuval Peres
Ends in Uniform Spanning Forests
Russell Lyons, Benjamin J. Morris, Oded Schramm
Minimal spanning forests
Russell Lyons, Yuval Peres, Oded Schramm
High-Precision Entropy Values for Spanning Trees in Lattices
Jessica L. Felker, Russell Lyons
A Solidification Phenomenon in Random Packings
Lewis Bowen, Russell Lyons, Charles Radin +1
Random Complexes and l^2-Betti Numbers
Russell Lyons
Fixed Price of Groups and Percolation
Russell Lyons
Change Intolerance in Spanning Forests
Deborah Heicklen, Russell Lyons