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math.PR2022
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…
math.PR2022
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…
math.PR2022
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…