Finite state bilaterally deterministic strongly mixing processes

Robert M. Burton; Manfred Denker; Meir Smorodinsky

doi:10.1007/BF02761036

Finite state bilaterally deterministic strongly mixing processes

Robert M. Burton, Manfred Denker, Meir Smorodinsky

Mathematics

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

2 Scopus citations

Abstract

Triviality of the two-sided tail field of a stationary process is not an invariant property under factorization ([4]). In this paper we give an example of a bilaterally deterministic process with finitely many states which is strongly mixing. This extends and complements a result of Bradley ([1]).

Original language	English (US)
Pages (from-to)	115-133
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	95
DOIs	https://doi.org/10.1007/BF02761036
State	Published - Jan 1 1996

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Finite state bilaterally deterministic strongly mixing processes",

abstract = "Triviality of the two-sided tail field of a stationary process is not an invariant property under factorization ([4]). In this paper we give an example of a bilaterally deterministic process with finitely many states which is strongly mixing. This extends and complements a result of Bradley ([1]).",

author = "Burton, {Robert M.} and Manfred Denker and Meir Smorodinsky",

year = "1996",

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AU - Burton, Robert M.

AU - Denker, Manfred

AU - Smorodinsky, Meir

PY - 1996/1/1

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N2 - Triviality of the two-sided tail field of a stationary process is not an invariant property under factorization ([4]). In this paper we give an example of a bilaterally deterministic process with finitely many states which is strongly mixing. This extends and complements a result of Bradley ([1]).

AB - Triviality of the two-sided tail field of a stationary process is not an invariant property under factorization ([4]). In this paper we give an example of a bilaterally deterministic process with finitely many states which is strongly mixing. This extends and complements a result of Bradley ([1]).

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

SN - 0021-2172

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Finite state bilaterally deterministic strongly mixing processes

Abstract

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