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math.PR2022
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…
math.PR2022
Exponential ergodicity for damping Hamiltonian dynamics with state-dependent and non-local collisions
Jianhai Bao, Jian Wang
In this paper, we investigate the exponential ergodicity in a Wasserstein-type distance for a damping Hamiltonian dynamics with state-dependent and non-local collisions, which inde…