3 papers
math.DS2026
Statistical Ensemble Deviation Estimates for Nearly Integrable Hamiltonian Systems
Xinyu Liu, Yong Li
This paper studies quantitative deviation bounds for statistical ensembles evolving under the one-parameter flow of a nearly integrable Hamiltonian system. Combining Nekhoroshev-ty…
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…