Finitely determined implies very weak Bernoulli

Donald S. Ornstein; Benjamin Weiss

doi:10.1007/BF02756830

Finitely determined implies very weak Bernoulli

Donald S. Ornstein^*, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

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

36 Scopus citations

Abstract

It is shown that if a process is finitely determined then it is very weak Bernoulli (VWB). Combined with known results this says that a process is isomorphic to a Bernoulli shift if and only if it satisfies an asymptotic independence condition, namely that of being VWB.

Original language	English
Pages (from-to)	94-104
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/BF02756830
State	Published - Mar 1974

Access to Document

10.1007/BF02756830

Cite this

@article{982dbcd148484a4b8a7a507efa1268a3,

title = "Finitely determined implies very weak Bernoulli",

abstract = "It is shown that if a process is finitely determined then it is very weak Bernoulli (VWB). Combined with known results this says that a process is isomorphic to a Bernoulli shift if and only if it satisfies an asymptotic independence condition, namely that of being VWB.",

author = "Ornstein, {Donald S.} and Benjamin Weiss",

year = "1974",

month = mar,

doi = "10.1007/BF02756830",

language = "אנגלית",

volume = "17",

pages = "94--104",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Finitely determined implies very weak Bernoulli

AU - Ornstein, Donald S.

AU - Weiss, Benjamin

PY - 1974/3

Y1 - 1974/3

N2 - It is shown that if a process is finitely determined then it is very weak Bernoulli (VWB). Combined with known results this says that a process is isomorphic to a Bernoulli shift if and only if it satisfies an asymptotic independence condition, namely that of being VWB.

AB - It is shown that if a process is finitely determined then it is very weak Bernoulli (VWB). Combined with known results this says that a process is isomorphic to a Bernoulli shift if and only if it satisfies an asymptotic independence condition, namely that of being VWB.

UR - http://www.scopus.com/inward/record.url?scp=51249190617&partnerID=8YFLogxK

U2 - 10.1007/BF02756830

DO - 10.1007/BF02756830

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51249190617

SN - 0021-2172

VL - 17

SP - 94

EP - 104

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1

ER -

Finitely determined implies very weak Bernoulli

Abstract

Access to Document

Other files and links

Fingerprint

Cite this