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 - 1996

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/BF02761036

Cite this

@article{73125dd767074894ba807c7c41ffc8fe,

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",

doi = "10.1007/BF02761036",

language = "English (US)",

volume = "95",

pages = "115--133",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

}

TY - JOUR

T1 - Finite state bilaterally deterministic strongly mixing processes

AU - Burton, Robert M.

AU - Denker, Manfred

AU - Smorodinsky, Meir

PY - 1996

Y1 - 1996

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]).

UR - https://www.scopus.com/pages/publications/0030475021

UR - https://www.scopus.com/inward/citedby.url?scp=0030475021&partnerID=8YFLogxK

U2 - 10.1007/BF02761036

DO - 10.1007/BF02761036

M3 - Article

AN - SCOPUS:0030475021

SN - 0021-2172

VL - 95

SP - 115

EP - 133

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Finite state bilaterally deterministic strongly mixing processes

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this