1 citations · 1 across the 4 of their papers we have counts for
5 papers
Comparison of Dirichlet forms for stable-like random walks on groups of polynomial volume growth
Laurent Saloff-Coste, Ruoqi Zhang
In earlier works, we studied natural examples of stable-like random walks on finitely generated nilpotent groups and, more generally, on groups of polynomial volume growth. These w…
Examples of stable-like random walks on groups of polynomial growth
Laurent Saloff-Coste, Ruoqi Zhang
We consider several families of long jump random walks on groups of polynomial volume growth which are naturally expected to have a stable-like behavior. We then prove optimal pseu…
Faber-Krahn inequality and heat kernel estimates on glued graphs
Emily Dautenhahn, Laurent Saloff-Coste
Faber-Krahn functions provide lower bounds on the first Dirichlet eigenvalue of the Laplacian and are useful because they imply heat kernel upper bounds. In this paper, we are inte…
Hitting probabilities and uniformly -transient subgraphs
Emily Dautenhahn, Laurent Saloff-Coste
We study the probability that a random walk started inside a subgraph of a larger graph exits that subgraph (or, equivalently, hits the exterior boundary of the subgraph). Consider…
Merging and stability for time inhomogeneous finite Markov chains
Laurent Saloff-Coste, Jessica Zuniga
We discuss problems posed by the quantitative study of time inhomogeneous Markov chains. The two main notions for our purpose are merging and stability. Merging (also called weak e…