Averaging in dynamical systems and large deviations

Yuri Kifer

doi:10.1007/BF01231336

Averaging in dynamical systems and large deviations

Yuri Kifer^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

38 Scopus citations

Abstract

The paper treats ordinary differential equations of the form {Mathematical expression} where f^t is a hyperbolic flow. Large deviations bounds for the averaging principle are obtained here in the form appeared previously in [F₁, F₂] for the case when the flow f^t is replaced by a Markov process.

Original language	English
Pages (from-to)	337-370
Number of pages	34
Journal	Inventiones Mathematicae
Volume	110
Issue number	1
DOIs	https://doi.org/10.1007/BF01231336
State	Published - Dec 1992

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abstract = "The paper treats ordinary differential equations of the form {Mathematical expression} where ft is a hyperbolic flow. Large deviations bounds for the averaging principle are obtained here in the form appeared previously in [F1, F2] for the case when the flow ft is replaced by a Markov process.",

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Averaging in dynamical systems and large deviations

Abstract

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