Group extensions of Gibbs-Markov maps

Jon Aaronson; Manfred Denker

doi:10.1007/s004400100173

Group extensions of Gibbs-Markov maps

Jon Aaronson, Manfred Denker

Mathematics

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

6 Scopus citations

Abstract

Let φ be an aperiodic cocycles with values in a locally compact abelian second countable group double-struck G sign defined on an exact Gibbs-Markov map T : X → X. We show that the group extension T_φ(x, g) = (T(x), g + φ(x)) (x ∈ X; g ∈ double-struck G sign) is exact. Equivalent conditions for exactness are found.

Original language	English (US)
Pages (from-to)	28-40
Number of pages	13
Journal	Probability Theory and Related Fields
Volume	123
Issue number	1
DOIs	https://doi.org/10.1007/s004400100173
State	Published - May 2002

All Science Journal Classification (ASJC) codes

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/s004400100173

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abstract = "Let φ be an aperiodic cocycles with values in a locally compact abelian second countable group double-struck G sign defined on an exact Gibbs-Markov map T : X → X. We show that the group extension Tφ(x, g) = (T(x), g + φ(x)) (x ∈ X; g ∈ double-struck G sign) is exact. Equivalent conditions for exactness are found.",

author = "Jon Aaronson and Manfred Denker",

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AU - Denker, Manfred

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N2 - Let φ be an aperiodic cocycles with values in a locally compact abelian second countable group double-struck G sign defined on an exact Gibbs-Markov map T : X → X. We show that the group extension Tφ(x, g) = (T(x), g + φ(x)) (x ∈ X; g ∈ double-struck G sign) is exact. Equivalent conditions for exactness are found.

AB - Let φ be an aperiodic cocycles with values in a locally compact abelian second countable group double-struck G sign defined on an exact Gibbs-Markov map T : X → X. We show that the group extension Tφ(x, g) = (T(x), g + φ(x)) (x ∈ X; g ∈ double-struck G sign) is exact. Equivalent conditions for exactness are found.

UR - https://www.scopus.com/pages/publications/0036016206

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DO - 10.1007/s004400100173

M3 - Article

AN - SCOPUS:0036016206

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SP - 28

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JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

IS - 1

ER -

Group extensions of Gibbs-Markov maps

Abstract

All Science Journal Classification (ASJC) codes

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