Mathematical Research Letters

Volume 14 (2007)

Number 5

Generic expanding maps without absolutely continuous invariant $\sigma$-finite measure

Pages: 721 – 730

DOI: https://dx.doi.org/10.4310/MRL.2007.v14.n5.a1

Authors

Artur Avila (Université Pierre et Marie Curie)

Jairo Bochi (Universidade Federal do Rio Grande do Sul)

Abstract

We show that a $C^1$-generic expanding map of the circle has no absolutely continuous invariant $\sigma$-finite measure.

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Published 1 January 2007