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

Access to Document

10.4310/MRL.2007.v14.n5.a1

Cite this

@article{742bd7c8b20d45ef890f044ceae3a625,

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",

doi = "10.4310/MRL.2007.v14.n5.a1",

language = "English (US)",

volume = "14",

pages = "721--730",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press, Inc.",

number = "5-6",

}

TY - JOUR

T1 - Generic expanding maps without absolutely continuous invariant σ-finite measure

AU - Avila, Artur

AU - Bochi, Jairo

PY - 2007

Y1 - 2007

N2 - We show that a C1-generic expanding map of the circle has no absolutely continuous invariant u-finite measure.

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

UR - https://www.scopus.com/pages/publications/38849204222

UR - https://www.scopus.com/pages/publications/38849204222#tab=citedBy

U2 - 10.4310/MRL.2007.v14.n5.a1

DO - 10.4310/MRL.2007.v14.n5.a1

M3 - Article

AN - SCOPUS:38849204222

SN - 1073-2780

VL - 14

SP - 721

EP - 730

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 5-6

ER -

Generic expanding maps without absolutely continuous invariant σ-finite measure

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this