A C (1) Anosov diffeomorphism with a horseshoe that attracts almost any point

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TitreA C (1) Anosov diffeomorphism with a horseshoe that attracts almost any point
Type de publicationJournal Article
Year of Publication2017
AuteursBonatti C., Minkov S.S, Okunev A.V, Shilin I.S
JournalFUNCTIONAL ANALYSIS AND ITS APPLICATIONS
Volume51
Pagination144-147
Date PublishedAPR
Type of ArticleArticle
ISSN0016-2663
Mots-clésAnosov diffeomorphism, C-1-topology, physical measure, thick horseshoe
Résumé

We present an example of a C (1) Anosov diffeomorphism with a physical measure such that its basin has full Lebesgue measure and its support is a horseshoe of zero measure.

DOI10.1007/s10688-017-0176-1