The recurrence time for interval exchange maps

Dong Han Kim, Stefano Marmi

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We consider the recurrence time to the r-neighbourhood for interval exchange maps. For almost every interval exchange map we show that the logarithm of the recurrence time normalized by -log r goes to 1. A similar result of the hitting time also holds for almost every interval exchange map

Original languageEnglish
Pages (from-to)2201-2210
Number of pages10
JournalNonlinearity
Volume21
Issue number9
DOIs
StatePublished - 1 Sep 2008

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