3 papers
math.DS2025
Angular Linearization and Quantitative Convergence of Statistical Ensembles for Weighted Integrable Hamiltonian Systems
Xinyu Liu, Yong Li
Within the framework of weighted integrable Hamiltonian systems, we study the long-time behavior of the associated statistical ensembles. We construct an action-dependent angular c…
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.DS2023
Statistical ensembles in integrable Hamiltonian systems with almost periodic transitions
Xinyu Liu, Yong Li
We study the long-term average evolution of the random ensemble along integrable Hamiltonian systems with time -periodic transitions. More precisely, for any observable , it…