Ergodic theory studies measure-preserving transformations of measure spaces.These objects are intrinsically infinite and the notion of an individual point or an orbit makes no sense.Still… Mehr…
Ergodic theory studies measure-preserving transformations of measure spaces.These objects are intrinsically infinite and the notion of an individual point or an orbit makes no sense.Still there is a variety of situations when a measure-preserving transformation (and its asymptotic behavior) can be well described as a limit of certain finite objects (periodic processes).In the first part of this book this idea is developed systematically, genericity of approximation in various categories is explored, and numerous applications are presented, including spectral multiplicity and properties of the maximal spectral type.The second part of the book contains a treatment of various constructions of cohomological nature with an emphasis on obtaining interesting asymptotic behavior from approximate pictures at different time scales.The book presents a view of ergodic theory not found in other expository sources and is suitable for graduate students familiar with measure theory and basic functional analysis. ; PDF; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis, American Mathematical Society<
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Ergodic theory studies measure-preserving transformations of measure spaces.These objects are intrinsically infinite and the notion of an individual point or an orbit makes no sense.Still… Mehr…
Ergodic theory studies measure-preserving transformations of measure spaces.These objects are intrinsically infinite and the notion of an individual point or an orbit makes no sense.Still there is a variety of situations when a measure-preserving transformation (and its asymptotic behavior) can be well described as a limit of certain finite objects (periodic processes).In the first part of this book this idea is developed systematically, genericity of approximation in various categories is explored, and numerous applications are presented, including spectral multiplicity and properties of the maximal spectral type.The second part of the book contains a treatment of various constructions of cohomological nature with an emphasis on obtaining interesting asymptotic behavior from approximate pictures at different time scales.The book presents a view of ergodic theory not found in other expository sources and is suitable for graduate students familiar with measure theory and basic functional analysis. ; PDF; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis, American Mathematical Society<
No. 9781470421755. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
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Detailangaben zum Buch - Combinatorial Constructions in Ergodic Theory and Dynamics
EAN (ISBN-13): 9781470421755 Erscheinungsjahr: 2015 Herausgeber: American Mathematical Society
Buch in der Datenbank seit 2022-05-24T11:49:11+02:00 (Berlin) Detailseite zuletzt geändert am 2023-08-29T14:09:04+02:00 (Berlin) ISBN/EAN: 9781470421755
ISBN - alternative Schreibweisen: 978-1-4704-2175-5
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