A Multiplicative Ergodic Theorem for von Neumann Algebra Valued Cocycles

Lewis Bowen; Ben Hayes; Yuqing Frank Lin

doi:10.1007/s00220-021-04043-9

A Multiplicative Ergodic Theorem for von Neumann Algebra Valued Cocycles

Lewis Bowen, Ben Hayes, Yuqing Frank Lin

Department of Mathematics

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

3 Scopus citations

Abstract

The classical Multiplicative Ergodic Theorem of Oseledets is generalized here to cocycles taking values in a semi-finite von Neumann algebra. This allows for a continuous Lyapunov distribution.

Original language	English
Pages (from-to)	1291-1350
Number of pages	60
Journal	Communications in Mathematical Physics
Volume	384
Issue number	2
DOIs	https://doi.org/10.1007/s00220-021-04043-9
State	Published - 1 Jun 2021

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s00220-021-04043-9

Cite this

@article{b17539fde3934be78f376bb8c626ca85,

title = "A Multiplicative Ergodic Theorem for von Neumann Algebra Valued Cocycles",

abstract = "The classical Multiplicative Ergodic Theorem of Oseledets is generalized here to cocycles taking values in a semi-finite von Neumann algebra. This allows for a continuous Lyapunov distribution.",

author = "Lewis Bowen and Ben Hayes and Lin, {Yuqing Frank}",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature.",

year = "2021",

month = jun,

day = "1",

doi = "10.1007/s00220-021-04043-9",

language = "English",

volume = "384",

pages = "1291--1350",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - A Multiplicative Ergodic Theorem for von Neumann Algebra Valued Cocycles

AU - Bowen, Lewis

AU - Hayes, Ben

AU - Lin, Yuqing Frank

PY - 2021/6/1

Y1 - 2021/6/1

N2 - The classical Multiplicative Ergodic Theorem of Oseledets is generalized here to cocycles taking values in a semi-finite von Neumann algebra. This allows for a continuous Lyapunov distribution.

AB - The classical Multiplicative Ergodic Theorem of Oseledets is generalized here to cocycles taking values in a semi-finite von Neumann algebra. This allows for a continuous Lyapunov distribution.

UR - http://www.scopus.com/inward/record.url?scp=85102448563&partnerID=8YFLogxK

U2 - 10.1007/s00220-021-04043-9

DO - 10.1007/s00220-021-04043-9

M3 - Article

AN - SCOPUS:85102448563

SN - 0010-3616

VL - 384

SP - 1291

EP - 1350

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

A Multiplicative Ergodic Theorem for von Neumann Algebra Valued Cocycles

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this