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Smooth Ergodic Theory For Endomorphisms

Smooth Ergodic Theory for Endomorphisms PDF
Author: Min Qian
Publisher: Springer
ISBN: 3642019544
Size: 80.66 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 277
View: 6486

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Smooth Ergodic Theory For Endomorphisms

by Min Qian, Smooth Ergodic Theory For Endomorphisms Books available in PDF, EPUB, Mobi Format. Download Smooth Ergodic Theory For Endomorphisms books, Ideal for researchers and graduate students, this volume sets out a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms. Its focus is on the relations between entropy, Lyapunov exponents and dimensions.




Ergodic Theory

Ergodic Theory PDF
Author: I. P. Cornfeld
Publisher: Springer Science & Business Media
ISBN: 1461569273
Size: 79.73 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 486
View: 5601

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Ergodic Theory

by I. P. Cornfeld, Ergodic Theory Books available in PDF, EPUB, Mobi Format. Download Ergodic Theory books, Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples. Because of this, Part I of the book contains the description of various classes of dynamical systems, and their elementary analysis on the basis of the fundamental notions of ergodicity, mixing, and spectra of dynamical systems. Here, as in many other cases, the adjective" elementary" i~ not synonymous with "simple. " Part II is devoted to "abstract ergodic theory. " It includes the construc tion of direct and skew products of dynamical systems, the Rohlin-Halmos lemma, and the theory of special representations of dynamical systems with continuous time. A considerable part deals with entropy.




Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen

Deutsche Nationalbibliographie und Bibliographie der im Ausland erschienenen deutschsprachigen Ver  ffentlichungen PDF
Author:
Publisher:
ISBN:
Size: 45.92 MB
Format: PDF, ePub
Category : German literature
Languages : de
Pages :
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Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen

by , Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen Books available in PDF, EPUB, Mobi Format. Download Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen books,




Dynamical Systems Ii

Dynamical Systems II PDF
Author: Ya.G. Sinai
Publisher: Springer Science & Business Media
ISBN: 3662067889
Size: 80.61 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 284
View: 125

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Dynamical Systems Ii

by Ya.G. Sinai, Dynamical Systems Ii Books available in PDF, EPUB, Mobi Format. Download Dynamical Systems Ii books, Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented - hyperbolic theory, billiards, one-dimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it.




Smooth Ergodic Theory Of Random Dynamical Systems

Smooth Ergodic Theory of Random Dynamical Systems PDF
Author: Pei-Dong Liu
Publisher: Springer
ISBN: 3540492917
Size: 35.86 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 228
View: 5519

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Smooth Ergodic Theory Of Random Dynamical Systems

by Pei-Dong Liu, Smooth Ergodic Theory Of Random Dynamical Systems Books available in PDF, EPUB, Mobi Format. Download Smooth Ergodic Theory Of Random Dynamical Systems books, This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynam- ical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed.




Combinatorial Constructions In Ergodic Theory And Dynamics

Combinatorial Constructions in Ergodic Theory and Dynamics PDF
Author: A. B. Katok
Publisher: American Mathematical Soc.
ISBN: 0821834967
Size: 22.83 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 121
View: 4877

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Combinatorial Constructions In Ergodic Theory And Dynamics

by A. B. Katok, Combinatorial Constructions In Ergodic Theory And Dynamics Books available in PDF, EPUB, Mobi Format. Download Combinatorial Constructions In Ergodic Theory And Dynamics books, Ergodic theory studies measure-preserving transformations of measure spaces. These objects are intrinsically infinite, and the notion of an individual point or of an orbit makes no sense. Still there are 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). The first part of this book develops this idea 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. It is suitable for graduate students familiar with measure theory and basic functional analysis.




Mathematical Reviews

Mathematical Reviews PDF
Author:
Publisher:
ISBN:
Size: 13.82 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages :
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Mathematical Reviews

by , Mathematical Reviews Books available in PDF, EPUB, Mobi Format. Download Mathematical Reviews books,