Limit theorems in averaging for dynamical systems

Yuri Kifer

doi:10.1017/S0143385700009834

Limit theorems in averaging for dynamical systems

Yuri Kifer^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

This paper yields diffusion and moderate deviation type asymptotics for solutions of differential equations of the form dZ^ε(t)/dt = εB(Z^ε(t), f^t y) where f^t is a suspension flow (in particular, a hyperbolic flow) over a sufficiently fast mixing transformation. Such problems emerge in the study of perturbed Hamiltonian systems. These exhibit a new class of limit theorems for dynamical systems and extend a number of previously known results.

Original language	English
Pages (from-to)	1143-1172
Number of pages	30
Journal	Ergodic Theory and Dynamical Systems
Volume	15
Issue number	6
DOIs	https://doi.org/10.1017/S0143385700009834
State	Published - Dec 1995

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title = "Limit theorems in averaging for dynamical systems",

abstract = "This paper yields diffusion and moderate deviation type asymptotics for solutions of differential equations of the form dZε(t)/dt = εB(Zε(t), ft y) where ft is a suspension flow (in particular, a hyperbolic flow) over a sufficiently fast mixing transformation. Such problems emerge in the study of perturbed Hamiltonian systems. These exhibit a new class of limit theorems for dynamical systems and extend a number of previously known results.",

author = "Yuri Kifer",

year = "1995",

month = dec,

doi = "10.1017/S0143385700009834",

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AB - This paper yields diffusion and moderate deviation type asymptotics for solutions of differential equations of the form dZε(t)/dt = εB(Zε(t), ft y) where ft is a suspension flow (in particular, a hyperbolic flow) over a sufficiently fast mixing transformation. Such problems emerge in the study of perturbed Hamiltonian systems. These exhibit a new class of limit theorems for dynamical systems and extend a number of previously known results.

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JO - Ergodic Theory and Dynamical Systems

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Limit theorems in averaging for dynamical systems

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