3 papers
math.PR2024
-exponential ergodicity of stochastic Hamiltonian systems with -stable Lévy noises
Bao Jianhai, Wang Jian
Based on the hypocoercivity approach due to Villani \cite{Villani}, Dolbeault, Mouhot and Schmeiser \cite{DMS} established a new and simple framework to investigate directly the $L…
math.PR2024
Long time behavior of one-dimensional McKean-Vlasov SDEs with common noise
Bao Jianhai, Wang Jian
In this paper, by introducing a new type asymptotic coupling by reflection, we explore the long time behavior of random probability measure flows associated with a large class of o…
math.PR2023
Exponential ergodicity of Lévy driven Langevin dynamics with singular potentials
Bao Jianhai, Fang Rongjuan, Wang Jian
In this paper, we address exponential ergodicity for Lévy driven Langevin dynamics with singular potentials, which can be used to model the time evolution of a molecular system con…