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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.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…
math.PR2024
Onsager-Machlup functional for stochastic differential equations with time-varying noise
Xinze Zhang, Yong Li
This paper is devoted to studying the Onsager-Machlup functional for stochastic differential equations with time-varying noise of the α-Hölder, 0<α<1/4, dXt =f(t,Xt)dt+g(t)dWt. Our…