Any flow is an orbit factor of any flow

Donald Ornstein; Benjamin Weiss

doi:10.1017/S0143385700002303

Any flow is an orbit factor of any flow

Donald Ornstein
, Benjamin Weiss

Einstein Institute of Mathematics

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

4 Scopus citations

Abstract

We prove that given any two ergodic non-singular flows [formula-omitted], S_t, the first can be time changed to [formula-omitted]_t so that S_t is a factor of [formula-omitted]_t. A corresponding result for transformations is that if [formula-omitted], T are any two ergodic non-singular transformations then there is a tower over [formula-omitted] that has T as a factor.

Original language	English
Pages (from-to)	105-116
Number of pages	12
Journal	Ergodic Theory and Dynamical Systems
Volume	4
Issue number	1
DOIs	https://doi.org/10.1017/S0143385700002303
State	Published - Mar 1984

Access to Document

10.1017/S0143385700002303

Cite this

@article{5ca9c489a9e6445299ed1549965d705b,

title = "Any flow is an orbit factor of any flow",

abstract = "We prove that given any two ergodic non-singular flows [formula-omitted], St, the first can be time changed to [formula-omitted]t so that St is a factor of [formula-omitted]t. A corresponding result for transformations is that if [formula-omitted], T are any two ergodic non-singular transformations then there is a tower over [formula-omitted] that has T as a factor.",

author = "Donald Ornstein and Benjamin Weiss",

year = "1984",

month = mar,

doi = "10.1017/S0143385700002303",

language = "אנגלית",

volume = "4",

pages = "105--116",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - Any flow is an orbit factor of any flow

AU - Ornstein, Donald

AU - Weiss, Benjamin

PY - 1984/3

Y1 - 1984/3

N2 - We prove that given any two ergodic non-singular flows [formula-omitted], St, the first can be time changed to [formula-omitted]t so that St is a factor of [formula-omitted]t. A corresponding result for transformations is that if [formula-omitted], T are any two ergodic non-singular transformations then there is a tower over [formula-omitted] that has T as a factor.

AB - We prove that given any two ergodic non-singular flows [formula-omitted], St, the first can be time changed to [formula-omitted]t so that St is a factor of [formula-omitted]t. A corresponding result for transformations is that if [formula-omitted], T are any two ergodic non-singular transformations then there is a tower over [formula-omitted] that has T as a factor.

UR - https://www.scopus.com/pages/publications/80053325749

U2 - 10.1017/S0143385700002303

DO - 10.1017/S0143385700002303

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

AN - SCOPUS:80053325749

SN - 0143-3857

VL - 4

SP - 105

EP - 116

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 1

ER -

Any flow is an orbit factor of any flow

Abstract

Access to Document

Other files and links

Fingerprint

Cite this