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

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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.",

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

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AU - Hayes, Ben

AU - Lin, Yuqing Frank

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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 - https://www.scopus.com/pages/publications/85102448563

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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A Multiplicative Ergodic Theorem for von Neumann Algebra Valued Cocycles

Abstract

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