80 citations · 291 across the 59 of their papers we have counts for
10 papers · 1 filter
Discrete/Continuous Elliptic Harnack Inequality and Kernel Estimates for Functions of the Laplacian on a Graph
Mark Cerenzia, Laurent Saloff-Coste
This paper introduces certain elliptic Harnack inequalities for harmonic functions in the setting of the product space , where is a (weighted) Riemannian Manifold a…
Brownian motion on treebolic space: escape to infinity
Alexander Bendikov, Laurent Saloff-Coste, Maura Salvatori +1
Treebolic space is an analog of the Sol geometry, namely, it is the horocylic product of the hyperbolic upper half plane H and the homogeneous tree T with degree p+1 > 2, the latte…
On the convolution powers of complex functions on Z
Evan Randles, Laurent Saloff-Coste
The local limit theorem describes the behavior of the convolution powers of a probability distribution supported on Z. In this work, we explore the role played by positivity in thi…
Random walks on nilpotent groups driven by measures supported on powers of generators
Laurent Saloff-Coste, Tianyi Zheng
We study the decay of convolution powers of a large family of measures on finitely generated nilpotent groups. Here, is a generating -tuple of group…
Large deviations for stable like random walks on with applications to random walks on wreath products
Laurent Saloff-Coste, Tianyi Zheng
We derive Donsker-Vardhan type results for functionals of the occupation times when the underlying random walk on is in the domain of attraction of an operator-stable…
Random walks driven by low moment measures
Alexander Bendikov, Laurent Saloff-Coste
We study the decay of convolution powers of probability measures without second moment but satisfying some weaker finite moment condition. For any locally compact unimodular group…