Tail-invariant measures for some suspension semiflows

Jon Aaronson; Omri Sarig; Rita Solomyak

doi:10.3934/dcds.2002.8.725

Tail-invariant measures for some suspension semiflows

Jon Aaronson^*, Omri Sarig, Rita Solomyak

^*Corresponding author for this work

School of Mathematical Sciences

Tel Aviv University

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

5 Scopus citations

Abstract

We consider suspension semiflows over abelian extensions of one-sided mixing subshifts of finite type. Although these are not uniquely ergodic, we identify (in the "ergodic" case) all tail-invariant, locally finite measures which are quasi-invariant for the semiflow.

Original language	English
Pages (from-to)	725-735
Number of pages	11
Journal	Discrete and Continuous Dynamical Systems
Volume	8
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2002.8.725
State	Published - 2002

Keywords

Aperiodicity
Equivalence relations
Horocycle flow
Infinite measures
Non-arithmeticity
Semi-flows
Skew-products
Tail-invariance
Unique ergodicity

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10.3934/dcds.2002.8.725

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keywords = "Aperiodicity, Equivalence relations, Horocycle flow, Infinite measures, Non-arithmeticity, Semi-flows, Skew-products, Tail-invariance, Unique ergodicity",

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KW - Aperiodicity

KW - Equivalence relations

KW - Horocycle flow

KW - Infinite measures

KW - Non-arithmeticity

KW - Semi-flows

KW - Skew-products

KW - Tail-invariance

KW - Unique ergodicity

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Tail-invariant measures for some suspension semiflows

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Keywords

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