210 citations · 786 across the 46 of their papers we have counts for
4 papers · 2 filters
Induced graphs of uniform spanning forests
Russell Lyons, Yuval Peres, Xin Sun
Given a subgraph of a graph , the induced graph of is the largest subgraph of whose vertex set is the same as that of . Our paper concerns the induced graphs of t…
Recurrent extensions of real-valued self-similar Markov processes
Henry Pantí, Juan Carlos Pardo, Víctor Manuel Rivero
Let be a self-similar Markov process taking values in such that the state 0 is a trap. In this paper, we present a necessary and sufficient conditio…
A Note on Tail Triviality for Determinantal Point Processes
Russell Lyons
We give a very short proof that determinantal point processes have a trivial tail -field. This conjecture of the author has been proved by Osada and Osada as well as by Bufetov,…
A Stationary Planar Random Graph with Singular Stationary Dual: Dyadic Lattice Graphs
Russell Lyons, Graham White
Dyadic lattice graphs and their duals are commonly used as discrete approximations to the hyperbolic plane. We use them to give examples of random rooted graphs that are stationary…