عنوان

Dynamical systems of algebraic origin /

شابک

3034802773

شابک

3034892365

شابک

9783034802772

شابک

9783034892360

شابک اشتباه

0817651748

شابک اشتباه

3764351748

شابک اشتباه

9780817651749

شابک اشتباه

9783034899574

شابک اشتباه

9783764351748

عنوان اصلي

Dynamical systems of algebraic origin /

نام عام مواد

[Book]

نام نخستين پديدآور

Klaus Schmidt.

محل نشرو پخش و غیره

Boston :

نام ناشر، پخش کننده و غيره

Birkhäuser Verlag,

تاریخ نشرو بخش و غیره

[1995]

تاریخ نشرو بخش و غیره

©1995

نام خاص و کميت اثر

1 online resource (xviii, 310 pages) :

ساير جزييات

illustrations

عنوان فروست

Progress in mathematics ;

مشخصه جلد

v. 128

متن يادداشت

Includes bibliographical references (pages 301-305) and index.

متن يادداشت

Although much of classical ergodic theory is concerned with single transformations and one-parameter flows, the subject inherits from statistical mechanics not only its name, but also an obligation to analyze spatially extended systems with multidimensional symmetry groups. However, the wealth of concrete and natural examples which has contributed so much to the appeal and development of classical dynamics, is noticeably absent in this more general theory. The purpose of this book is to help remedy this scarcity of explicit examples by introducing aclass of continuous Zd-actions diverse enough to exhibit many of the new phenomena encountered in the transition from Z to Zd, but which nevertheless lends itself to systematic study: the Zd-actions by automorphisms of compact, abelian groups. One aspect of these actions, not surprising in itself but quite striking in its extent and depth nonetheless, is the connection with commutative algebra and arithmetical algebraic geometry. The algebraic framework resulting from this connection allows the construction of examples with a variety of specified dynamical properties, and by combining algebraic and dynamical tools one obtains a quite detailed understanding of this class of Zd-actions. ----------------------- It is a marvelous display of the richness and depth of the interplay between dynamical systems on one hand and commutative algebra and number theory on the other. (...) This book is a very valuable addition to the literature on dynamical systems and ergodic theory. (Mathematical Reviews) This beautifully written monograph (...) is a very important addition to the literature, giving the first systematic account of the ergodic theory of algebraic Zd-actions. It will be of immense value to any researchers and graduate students interested in such multi-dimensional actions. (Zentralblatt MATH).

متن يادداشت

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

عنوان

Dynamical systems of algebraic origin.

موضوع مستند نشده

Abelian groups.

موضوع مستند نشده

Automorphisms.

موضوع مستند نشده

Differentiable dynamical systems.

موضوع مستند نشده

Ergodic theory.

موضوع مستند نشده

Abelian groups.

موضوع مستند نشده

Algebraische Geometrie

موضوع مستند نشده

Automorphismes.

موضوع مستند نشده

Automorphisms.

موضوع مستند نشده

Differentiable dynamical systems.

موضوع مستند نشده

Dynamique différentiable.

موضوع مستند نشده

Dynamisches System

موضوع مستند نشده

Ergodic theory.

موضوع مستند نشده

Groupes abéliens.

موضوع مستند نشده

Kommutative Algebra

موضوع مستند نشده

Kompakte Gruppe

موضوع مستند نشده

Théorie ergodique.

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

کد سيستم

مستند نام اشخاص تاييد نشده

Schmidt, Klaus,1943-

تاريخ عمليات

20200823094741.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y