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exponential mixing 1large deviations 1markov cocycles 1random dynamical systems 1stochastic partial differential equations 1

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math.PR2026

Exponential mixing and Freidlin--Wentzell large deviation principle for Markov cocycles

Rongchang Liu, Kening Lu, Lin Shi +1

The paper establishes criteria for exponential mixing and a Freidlin‑Wentzell large deviation principle for Markov cocycles in random environments, and demonstrates these results f…

math.PR2024

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…