Large deviations, averaging and periodic orbits of dynamical systems

Yuri Kifer*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

The paper deals with large deviation bounds for the proportion of periodic orbits with irregular behavior for expansive dynamical systems with specification, in particular, we obtain estimates for large deviations from the equidistribution for closed geodesics on negatively curved manifolds. We derive also large deviation bounds in the averaging principle when the fast motion is the shift along periodic orbits.

Original languageEnglish
Pages (from-to)33-46
Number of pages14
JournalCommunications in Mathematical Physics
Volume162
Issue number1
DOIs
StatePublished - Apr 1994

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