1 citations · 2 across the 3 of their papers we have counts for
7 papers
Branching Random Walks on relatively hyperbolic groups
Matthieu Dussaule, Longmin Wang, Wenyuan Yang
Let be a non-elementary relatively hyperbolic group with a finite generating set. Consider a finitely supported admissible and symmetric probability measure on and a pr…
The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups
Matthieu Dussaule, Wenyuan Yang
The paper studies the Hausdorff dimension of harmonic measures on various boundaries of a relatively hyperbolic group which are associated with random walks driven by a probability…
Local limit theorems in relatively hyperbolic groups II : the non-spectrally degenerate case
Matthieu Dussaule
This is the second of a series of two papers dealing with local limit theorems in relatively hyperbolic groups. In this second paper, we restrict our attention to non-spectrally de…
Local limit theorems in relatively hyperbolic groups I : rough estimates
Matthieu Dussaule
This is the first of a series of two papers dealing with local limit theorems in relatively hyperbolic groups. In this first paper, we prove rough estimates for the Green function.…
Entropy and drift for word metric on relatively hyperbolic groups
Matthieu Dussaule, Ilya Gekhtman
We are interested in the Guivarc'h inequality for admissible random walks on finitely generated relatively hyperbolic groups, endowed with a word metric. We show that for random wa…
The Martin boundary of relatively hyperbolic groups with virtually abelian parabolic subgroups
Matthieu Dussaule, Ilya Gekhtman, Victor Gerasimov +1
Given a probability measure on a finitely generated group, its Martin boundary is a way to compactify the group using the Green's function of the corresponding random walk. We give…