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

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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10.1007/BF02761036

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Burton, R. M., Denker, M., & Smorodinsky, M. (1996). Finite state bilaterally deterministic strongly mixing processes. Israel Journal of Mathematics, 95, 115-133. https://doi.org/10.1007/BF02761036

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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]).",

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AU - Denker, Manfred

AU - Smorodinsky, Meir

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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]).

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