210 citations · 786 across the 46 of their papers we have counts for
60 papers
Ideal Poisson-Voronoi tessellations on hyperbolic spaces
Matteo D'Achille, Nicolas Curien, Nathanaël Enriquez +2
We study the limit in low intensity of Poisson--Voronoi tessellations in hyperbolic spaces for . In contrast to the Euclidean setting, a limiting nontri…
Monotonicity for continuous-time random walks
Russell Lyons, Graham White
Consider continuous-time random walks on Cayley graphs where the rate assigned to each edge depends only on the corresponding generator. We show that the limiting speed is monotone…
Explicit universal minimal constants for polynomial growth of groups
Russell Lyons, Avinoam Mann, Romain Tessera +1
Shalom and Tao showed that a polynomial upper bound on the size of a single, large enough ball in a Cayley graph implies that the underlying group has a nilpotent subgroup with ind…
A reverse Aldous/Broder algorithm
Yiping Hu, Russell Lyons, Pengfei Tang
The Aldous--Broder algorithm provides a way of sampling a uniformly random spanning tree for finite connected graphs using simple random walk. Namely, start a simple random walk on…
Strong Negative Type in Spheres
Russell Lyons
It is known that spheres have negative type, but only subsets with at most one pair of antipodal points have strict negative type. These are conditions on the (angular) distances w…
Exit Boundaries of Multidimensional SDEs
Russell Lyons
We show that solutions to multidimensional SDEs with Lipschitz coefficients and driven by Brownian motion never reach the set where all coefficients vanish unless the initial posit…