The orbital equivalence of Bernoulli actions and their Sinai factors

Zemer Kosloff; Terry Soo

doi:10.3934/jmd.2021005

The orbital equivalence of Bernoulli actions and their Sinai factors

Zemer Kosloff, Terry Soo

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

7 Citations (Scopus)

Abstract

Given a countable amenable group G and λ ∈ (0,1) , we give an elementary construction of a type-Ⅲλ Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.

Original language	English
Pages (from-to)	145-182
Number of pages	38
Journal	Journal of Modern Dynamics
Volume	17
DOIs	https://doi.org/10.3934/jmd.2021005
Publication status	Published - 1 Mar 2021

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title = "The orbital equivalence of Bernoulli actions and their Sinai factors",

abstract = "Given a countable amenable group G and λ ∈ (0,1) , we give an elementary construction of a type-Ⅲλ Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.",

author = "Zemer Kosloff and Terry Soo",

year = "2021",

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AU - Soo, Terry

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N2 - Given a countable amenable group G and λ ∈ (0,1) , we give an elementary construction of a type-Ⅲλ Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.

AB - Given a countable amenable group G and λ ∈ (0,1) , we give an elementary construction of a type-Ⅲλ Bernoulli group action. In the case where G is the integers, we show that our nonsingular Bernoulli shifts have independent and identically distributed factors.

U2 - 10.3934/jmd.2021005

DO - 10.3934/jmd.2021005

M3 - Article (Academic Journal)

SN - 1930-5311

VL - 17

SP - 145

EP - 182

JO - Journal of Modern Dynamics

JF - Journal of Modern Dynamics

ER -

The orbital equivalence of Bernoulli actions and their Sinai factors

Abstract

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