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math.PR2026
Exponential mixing and Freidlin--Wentzell large deviation principle for Markov cocycles
Rongchang Liu, Kening Lu, Lin Shi +1
This paper studies the long time statistics and small noise asymptotics of Markov cocycles associated with Markov processes in random environments modeled by measure preserving dyn…
math.PR2024★ 2 cited
Invariant measures, periodic measures and pullback measure attractors of McKean-Vlasov stochastic reaction-diffusion equations on unbounded domains
Lin Shi, Jun Shen, Kening Lu +1
This paper deals with the long term dynamics of the non-autonomous McKean-Vlasov stochastic reaction-diffusion equations on R^n. We first prove the existence and uniqueness of pull…