Large deviations for Hamiltonian systems on intermediate time scales

DOI10.1142/S0219493722500253zbMath1506.37081arXiv2111.06528OpenAlexW3213996419WikidataQ114072594 ScholiaQ114072594MaRDI QIDQ5038979

Shuo Yan

Publication date: 9 October 2022

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.06528

zbMATH Keywords

Hamiltonian systemslarge deviationsaction functionalaveraging principle

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Large deviations (60F10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Generation, random and stochastic difference and differential equations (37H10)

Cites Work

• Reaction-diffusion in incompressible fluid: asymptotic problems.
• A fractional kinetic process describing the intermediate time behaviour of cellular flows
• Large deviations for two scaled diffusions
• Random Perturbations of Dynamical Systems
• Limit theorems on large deviations for semimartingales
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