Generic expanding maps without absolutely continuous invariant σ-finite measure

Artur Avila; Jairo Bochi

doi:10.4310/MRL.2007.v14.n5.a1

Generic expanding maps without absolutely continuous invariant σ-finite measure

Artur Avila, Jairo Bochi

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We show that a C¹-generic expanding map of the circle has no absolutely continuous invariant u-finite measure.

Original language	English (US)
Pages (from-to)	721-730
Number of pages	10
Journal	Mathematical Research Letters
Volume	14
Issue number	5-6
DOIs	https://doi.org/10.4310/MRL.2007.v14.n5.a1
State	Published - 2007

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/MRL.2007.v14.n5.a1

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title = "Generic expanding maps without absolutely continuous invariant σ-finite measure",

abstract = "We show that a C1-generic expanding map of the circle has no absolutely continuous invariant u-finite measure.",

author = "Artur Avila and Jairo Bochi",

year = "2007",

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journal = "Mathematical Research Letters",

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JO - Mathematical Research Letters

JF - Mathematical Research Letters

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Generic expanding maps without absolutely continuous invariant σ-finite measure

Abstract

All Science Journal Classification (ASJC) codes

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