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Uniform large deviation principles for SDEs under locally weak monotonicity conditions
Jian Wang, Hao Yang
In this paper, we provide a criterion on uniform large deviation principles (ULDP) for stochastic differential equations under locally weak monotone conditions and Lyapunov conditi…
Irreducibility of stochastic complex Ginzburg-Landau equations driven by pure jump noise and its applications
Hao Yang, Jian Wang, Jianliang Zhai
Considering irreducibility is fundamental for studying the ergodicity of stochastic dynamical systems. In this paper, we establish the irreducibility of stochastic complex Ginzburg…
Accessibility of SPDEs driven by pure jump noise and its applications
Jian Wang, Hao Yang, Jianliang Zhai +1
In this paper, we develop a new method to obtain the accessibility of stochastic partial differential equations driven by additive pure jump noise. An important novelty of this pap…
Large deviation principles for SDEs under locally weak monotonicity conditions
Jian Wang, Hao Yang, Jianliang Zhai +1
This paper establishes a Freidlin-Wentzell large deviation principle for stochastic differential equations(SDEs) under locally weak monotonicity conditions and Lyapunov conditions.…