The recurrence time for ergodic systems with infinite invariant measures

Stefano Galatolo, Dong Han Kim, Kyewon Koh Park

Research output: Contribution to journalReview articlepeer-review

9 Scopus citations

Abstract

We investigate quantitative recurrence in systems having an infinite invariant measure. We extend the Ornstein-Weiss theorem for a general class of infinite systems estimating return time in decreasing sequences of cylinders. Then we restrict to a class of one-dimensional maps with indifferent fixed points and calculate quantitative recurrence in sequences of balls, obtaining that this is related to the behaviour of the map near the fixed points.

Original languageEnglish
Article number004
JournalNonlinearity
Volume19
Issue number11
DOIs
StatePublished - 1 Nov 2006

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