7 citations · 13 across the 10 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.GR2023
The growth of the Green function for random walks and Poincar{é} series
Matthieu Dussaule, Wenyuan Yang, Longmin Wang
Given a probability measure on a finitely generated group , the Green function encodes many properties of the random walk associated with . Finding asymptotics…
math.DS2023
Exotic local limit theorems at the phase transition in free products
Matthieu Dussaule, Marc Peigné, Samuel Tapie
We construct random walks on free products of the form Z 3 * Z d , with d = 5 or 6 which are divergent and not spectrally positive recurrent. We then derive a local limit theorem f…
math.GR2023
Ratio-limit boundaries for random walks on relatively hyperbolic groups
Adam Dor-On, Matthieu Dussaule, Ilya Gekhtman
We study boundaries arising from limits of ratios of transition probabilities for random walks on relatively hyperbolic groups. We extend, as well as determine significant limitati…