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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.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…