Conservative anosov diffeomorphisms of T2 without an absolutely continuous invariant measure

Z. Kosloff*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We construct examples of C 1 Anosov diffeomorphisms on T2 which are of Krieger type III1 with respect to Lebesgue measure. This shows that the Gurevic Oseledec phenomena that conservative C 1C Anosov diffeomorphisms have a smooth invariant measure does not hold true in the C 1 setting.

Original languageAmerican English
Pages (from-to)69-131
Number of pages63
JournalAnnales Scientifiques de l'Ecole Normale Superieure
Volume54
Issue number1
DOIs
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2021 Société Mathématique de France, Paris

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