112 citations · 324 across the 20 of their papers we have counts for
20 papers
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…
Large Deviations of Fractional Stochastic Equations with Non-Lipschitz Drift and Multiplicative Noise on Unbounded Domains
Bixiang Wang
This paper is concerned with the large deviation principle of the non-local fractional stochastic reaction-diffusion equation with a polynomial drift of arbitrary degree driven by…
Large Deviation Principles of Stochastic Reaction-Diffusion Lattice Systems
Bixiang Wang
This paper is concerned with the large deviation principle of the stochastic reaction-diffusion lattice systems defined on the N-dimensional integer set, where the nonlinear drift…
Multivalued Non-Autonomous Random Dynamical Systems for Wave Equations without Uniqueness
Bixiang Wang
This paper deals with the multivalued non-autonomous random dynamical system generated by the non-autonomous stochastic wave equations on unbounded domains, which has a non-Lipschi…
Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations
Bixiang Wang
By the Lyapunov-Perron method,we prove the existence of random inertial manifolds for a class of equations driven simultaneously by non-autonomous deterministic and stochastic forc…
Stochastic Bifurcation of Pathwise Random Almost Periodic and Almost Automorphic Solutions for Random Dynamical Systems
Bixiang Wang
In this paper, we introduce concepts of pathwise random almost periodic and almost automorphic solutions for dynamical systems generated by non-autonomous stochastic equations. The…