Weak mixing for logarithmic flows over interval exchange transformations

C Ulcigrai

Research output: Contribution to journalArticle (Academic Journal)peer-review

15 Citations (Scopus)

Abstract

We consider a class of special flows over interval exchange transformations which includes roof functions with symmetric logarithmic singularities. We prove that such flows are typically weakly mixing. As a corollary, minimal flows given by multivalued Hamiltonians on higher-genus surfaces are typically weakly mixing.
Translated title of the contributionWeak mixing for logarithmic flows over interval exchange transformations
Original languageEnglish
Pages (from-to)35 - 49
Number of pages25
JournalJournal of Modern Dynamics
Volume3, number 1
DOIs
Publication statusPublished - Jan 2009

Bibliographical note

Publisher: American Institue of Mathematical Sciences

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