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Dynamical systems of algebraic origin /

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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 co...

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Bibliographic Details
Main Author: Schmidt, Klaus, 1943-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser Verlag, [1995]
Series:Progress in mathematics (Boston, Mass.) ; v. 128.
Subjects:
Differentiable dynamical systems.
Ergodic theory.
Automorphisms.
Abelian groups.
Dynamique différentiable.
Théorie ergodique.
Automorphismes.
Groupes abéliens.
Algebraische Geometrie.
Dynamisches System.
Kompakte Gruppe.
Kommutative Algebra.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Ch. I. Group actions by automorphisms of compact groups
  • Ch. II. Z[superscript d]-actions on compact abelian groups
  • Ch. III. Expansive automorphisms of compact groups
  • Ch. IV. Periodic points
  • Ch. V. Entropy
  • Ch. VI. Positive entropy
  • Ch. VII. Zero entropy
  • Ch. VIII. Mixing
  • Ch. IX. Rigidity.