210 citations · 786 across the 46 of their papers we have counts for
4 papers · 1 filter
Asymptotic Enumeration of Spanning Trees
Russell Lyons
We give new general formulas for the asymptotics of the number of spanning trees of a large graph. A special case answers a question of McKay (1983) for regular graphs. The general…
Szego limit theorems
Russell Lyons
The first Szego limit theorem has been extended by Bump-Diaconis and Tracy-Widom to limits of other minors of Toeplitz matrices. We extend their results still further to allow more…
Determinantal probability measures
Russell Lyons
Determinantal point processes have arisen in diverse settings in recent years and have been investigated intensively. We study basic combinatorial and probabilistic aspects in the…
Stationary Determinantal Processes: Phase Multiplicity, Bernoullicity, Entropy, and Domination
Russell Lyons, Jeffrey E. Steif
We study a class of stationary processes indexed by that are defined via minors of -dimensional (multilevel) Toeplitz matrices. We obtain necessary and sufficient conditi…