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math.PR2025
Weak irreducibility of stochastic delay differential equation driven by pure jump noise
Hao Yang, Jian Wang
In this paper, we study the weak irreducibility of stochastic delay differential equations(SDDEs) driven by pure jump noise. The main contribution of this paper is to provide a con…
math.PR2025
Irreducibility and ergodicity of SPDEs driven by pure jump noise
Jian Wang, Hao Yang, Jianliang Zhai +1
The irreducibility is fundamental for the study of ergodicity of stochastic dynamical systems. The existing methods on the irreducibility of stochastic partial differential equatio…
math.PR2024
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…