5 papers
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: …
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…
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…
Ergodic behaviour of nonconventional ergodic averages for commuting transformations
Xia Pan, Zuohuan Zheng, Zhe Zhou
Based on T.Tao's result of norm convergence of multiple ergodic averages for commut-ing transformation, we obtain there is a subsequence which converges almost everywhere. Meanwhil…
Partial linearization for nonautonomous differential equations
Xia Pan, Zuohuan Zheng
In this paper, we prove the partial linearization for n-dimensional nonautonomous differential equations. The conditions are formulated in terms of the dichotomy spectrum.