3 papers
math.PR2026
Well-posedness, mean attractors and invariant measures of stochastic discrete long-wave-short-wave resonance equations driven by locally Lipschitz nonlinear noise
Xia Pan, Jianhua Huang, Juntao Wu +1
This paper is devoted to investigating the random dynamics of stochastic discrete long-wave-short-wave resonance equations, which are characterized by the following features: …
math.PR2021
Ergodicity for Stochastic Neutral Retarded Partial Differential Equations Driven by -regular Volterra process
Xia Pan, Zhi Li
In this article, we study the ergodicity of neutral retarded stochastic functional differential equations driven by -regular Volterra process. Based on the equivalence between n…
math.DS2017
On the convergence of the time average for skew-product structure and multiple ergodic system
Xia Pan, Zuohuan Zheng, Zhe Zhou
In this paper, for a discontinuous skew-product transformation with the integrable observation function, we obtain uniform ergodic theorem and semi-uniform ergodic theorem. The mai…