Dynamics via measurability

Generators f for σ-algebras can be used to view the dynamics of an invertible measurable transformation T in terms of the range values of f∘T. Such generators are the norm rather than the exception. Related measurable and quantitative methods of estimating a function from the behavior of ergodic ave...

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Main Authors: Svetlana Butler, Joseph Rosenblatt
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/81356
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author Svetlana Butler
Joseph Rosenblatt
author_facet Svetlana Butler
Joseph Rosenblatt
author_sort Svetlana Butler
collection DOAJ
description Generators f for σ-algebras can be used to view the dynamics of an invertible measurable transformation T in terms of the range values of f∘T. Such generators are the norm rather than the exception. Related measurable and quantitative methods of estimating a function from the behavior of ergodic averages are also discussed.
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issn 1085-3375
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series Abstract and Applied Analysis
spelling doaj-art-f93acb76e2c346d3afb7c6dcd697ea552025-08-20T03:20:09ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/8135681356Dynamics via measurabilitySvetlana Butler0Joseph Rosenblatt1Department of Mathematics, University of Illinois at Urbana, Urbana 61801, IL, USADepartment of Mathematics, University of Illinois at Urbana, Urbana 61801, IL, USAGenerators f for σ-algebras can be used to view the dynamics of an invertible measurable transformation T in terms of the range values of f∘T. Such generators are the norm rather than the exception. Related measurable and quantitative methods of estimating a function from the behavior of ergodic averages are also discussed.http://dx.doi.org/10.1155/AAA/2006/81356
spellingShingle Svetlana Butler
Joseph Rosenblatt
Dynamics via measurability
Abstract and Applied Analysis
title Dynamics via measurability
title_full Dynamics via measurability
title_fullStr Dynamics via measurability
title_full_unstemmed Dynamics via measurability
title_short Dynamics via measurability
title_sort dynamics via measurability
url http://dx.doi.org/10.1155/AAA/2006/81356
work_keys_str_mv AT svetlanabutler dynamicsviameasurability
AT josephrosenblatt dynamicsviameasurability