3 papers
math.PR2025
The LLN and CLT for the statistical ensembles of discrete integrable Hamiltonian systems
Xinyu Liu, Xinze Zhang, Yong Li
This paper investigates the behavior of statistical ensembles under iteration map induced by discrete integrable Hamiltonian systems in deterministic case and stochastic case, addr…
math.DS2025
Persistence of Invariant Tori for Stochastic Nonlinear Schrödinger in the Sense of Most Probable Paths
Xinze Zhang, Yong Li, Kaizhi Wang
This paper investigates the application of KAM theory to the stochastic nonlinear Schrödinger equation on infinite lattices, focusing on the stability of low-dimensional invariant…
math.PR2024
Onsager-Machlup functional for stochastic lattice dynamical systems driven by time-varying noise
Xinze Zhang, Yong Li
This paper investigates the Onsager-Machlup functional of stochastic lattice dynamical systems (SLDSs) driven by time-varying noise. We extend the Onsager-Machlup functional from f…