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math.PR2022★ 1 cited
Large deviations principle for stationary solutions of stochastic differential equations with multiplicative noise
Peipei Gao, Yong Liu, Yue Sun +1
We study the large deviations principle (LDP) for stationary solutions of a class of stochastic differential equations (SDE) in infinite time intervals by the weak convergence appr…
math.PR2015★ 91 cited
Random Periodic Solutions of Random Dynamical Systems
Huaizhong Zhao, Zuo-Huan Zheng
In this paper, we give the definition of the random periodic solutions of random dynamical systems. We prove the existence of such periodic solutions for a perfect cocycle on…