80 citations · 291 across the 59 of their papers we have counts for
66 papers
Riesz transform, function spaces and their applications on infinite dimensional compact groups
Alexander Bendikov, Li Chen, Laurent Saloff-Coste
On a compact connected group , consider the infinitesimal generator of a central symmetric Gaussian convolution semigroup . We establish several regularity res…
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…
Uniform doubling for abelian products with
Nathaniel Eldredge, Maria Gordina, Laurent Saloff-Coste
We prove that the uniform doubling property holds for every Lie group which can be written as a quotient group of for some . In partic…
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…
On-diagonal asymptotics for heat kernels of a class of inhomogeneous partial differential operators
Evan Randles, Laurent Saloff-Coste
We consider certain constant-coefficient differential operators on with positive-definite symbols. Each such operator with symbol defines a semigroup $e^{-tΛ…