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25 Remote Warehouse Mathematics- Abstract Algebra

Dynamical Systems of Algebraic Origin (Modern Birkh User Classics)

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Dynamical Systems of Algebraic Origin (Modern Birkh User Classics) Cover

 

Synopses & Reviews

Publisher Comments:

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 a

Synopsis:

This book introduces a class of continuous Zd-actions diverse enough to exhibit many of the new phenomena encountered in the transition from Z to Zd, but which lends itself to systematic study: the Zd-actions by automorphisms of compact, abelian groups.

Synopsis:

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 a

About the Author

Klaus Schmidt is a Professor of Mathematics at the University of Vienna, Austria.

Table of Contents

Introduction.- Chapter I. Group actions by automorphisms fo compact groups.- Chapter II. Zd-actions on compact abelian groups.- Chapter III. Expansive automorphisms of compact groups.- Chapter IV. Periodic points.- Chapter V. Entropy.- Chapter VI. Positive entropy.- Chapter VII. Zero entropy.- Chapter VIII. Mixing.- Chapter IX. Rigidity.- Bibliography.- Index.

Product Details

ISBN:
9783034802765
Author:
Schmidt, Klaus
Publisher:
Birkhauser
Subject:
Group Theory
Subject:
Lie groups
Subject:
Topological Groups, Lie Groups
Subject:
Algebraic Geometry
Subject:
Probability Theory and Stochastic Processes
Subject:
Group Theory and Generalizations
Subject:
Real functions
Subject:
Statistical Physics, Dynamical Systems and Complexity
Subject:
Mathematics-Abstract Algebra
Copyright:
Edition Description:
Reprint of the 1995 Edition
Series:
Modern Birkhäuser Classics
Publication Date:
20111228
Binding:
TRADE PAPER
Language:
English
Pages:
328
Dimensions:
235 x 155 mm

Related Subjects

Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry
Science and Mathematics » Mathematics » Group Theory
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Dynamical Systems of Algebraic Origin (Modern Birkh User Classics) New Trade Paper
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Product details 328 pages Birkhauser - English 9783034802765 Reviews:
"Synopsis" by , This book introduces a class of continuous Zd-actions diverse enough to exhibit many of the new phenomena encountered in the transition from Z to Zd, but which lends itself to systematic study: the Zd-actions by automorphisms of compact, abelian groups.
"Synopsis" by , 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 a
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