7 citations · 13 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
An embedding of the Morse boundary in the Martin boundary
Matthew Cordes, Matthieu Dussaule, Ilya Gekhtman
We construct a one-to-one continuous map from the Morse boundary of a hierarchically hyperbolic group to its Martin boundary. This construction is based on deviation inequalities g…
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.…