80 citations · 291 across the 59 of their papers we have counts for
43 papers · 1 filter
Sub-elliptic diffusions on compact groups via Dirichlet form perturbation
Qi Hou, Laurent Saloff-Coste
This work provides an extension of parts of the classical finite dimensional sub-elliptic theory in the context of infinite dimensional compact connected metrizable groups. Given a…
The 4-player gambler's ruin problem
Kathryn O'Connor, Laurent Saloff-Coste
This work explains how to utilize earlier results by P. Diaconis, K. Houston-Edwards and the second author to estimate probabilities related to the 4-player gambler ruin problem. F…
Limit theorems for some long range random walks on torsion free nilpotent groups
Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste +2
We consider a natural class of long range random walks on torsion free nilpotent groups and develop limit theorems for these walks. Given the original discrete group and a rand…
Multidimensional examples of the Metropolis algorithm
Laurent Saloff-Coste, Sophie Uluatam
Consider the problem of approximating a given probability distribution on the cube via the use of a square lattice discretization with mesh-size and the Metropolis…
Perturbation results concerning Gaussian estimates and hypoellipticity for left-invariant Laplacians on compact groups
Qi Hou, Laurent Saloff-Coste
In this paper we study left-invariant Laplacians on compact connected groups that are form-comparable perturbations of bi-invariant Laplacians. Our results show that Gaussian bound…
The hit-and-run version of top-to-random
Samuel Boardman, Daniel Rudolf, Laurent Saloff-Coste
We study an example of a {\em hit-and-run} random walk on the symmetric group . Our starting point is the well understood {\em top-to-random} shuffle. In the hit-and-r…