Averaging of Hamiltonian flows with an ergodic component

DOI10.1214/07-AOP372zbMath1156.60038arXiv0901.2776OpenAlexW2076826762MaRDI QIDQ2519675

Leonid Koralov, Dmitry Dolgopyat

Publication date: 27 January 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.2776

zbMATH Keywords

Markov processaveragingHamiltonian flowDiophantine conditiongluing conditionsdiffusion on a graph

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (7)

Anomalous diffusion in fast cellular flows at intermediate time scales ⋮ Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus ⋮ Quantifying the Dissipation Enhancement of Cellular Flows ⋮ A fractional kinetic process describing the intermediate time behaviour of cellular flows ⋮ Averaging of incompressible flows on two-dimensional surfaces ⋮ On Second Order Elliptic Equations with a Small Parameter ⋮ On the long-time behavior of a perturbed conservative system with degeneracy

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• A boundary layer theory for diffusively perturbed transport around a heteroclinic cycle
• Convection Enhanced Diffusion for Periodic Flows
• Random perturbations of Hamiltonian systems

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