Recent Advances in Topological Dynamics
Proceedings of the Conference on Topological Dynamics, Held at Yale University 1972, in Honor of Gustav Arnold Hedlund on the Occasion of his Retirement
Published on 6. March 1973
Book
Paperback/Softback
X, 290 pages
978-3-540-06187-8 (ISBN)
Description
F-expansions revisited.- Non-compact dynamical systems.- Ergodic G-induced flows on compact solvmanifolds.- Products of semi-dynamical systems.- Uniqueness of flow solutions of differential equations.- Symbolic dynamics for hyperbolic systems.- Monothetic automorphisms of a compact abelian group.- On the embedding problem and the Hilbert-Smith conjecture.- A group associated with an extension.- The unique ergodigity of the horocycle flow.- How should we define topological entropy?.- Some general dynamical notions.- Group-like decompositions of Riemannian bundles.- Non-minimality of 3-Manifolds.- Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing.- Locally connected almost periodic minimal sets.- Choquet theory and ergodic measures for compact group extensions.- The intermediate transformation groups.- The structure of compact connected groups which admit an expansive automorphism.- Characteristic sequences.- Relative equicontinuity and its variations.- Approximation by measure-preserving homeomorphisms.- Class properties of dynamical systems.- Spectra of induced transformations.- Asymptotic cycles for discrete flows.- Abelian semi-groups of expanding maps.- Irregularities of distribution in dynamical systems.- Minimal sets and Souslin sets.- Some results on the classification of non-invertible measure preserving transformations.- Groups of measure preserving transformations.- Classification of subshifts of finite type.
More details
Series
Edition
1973 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 290 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 17 mm
Weight
458 gr
ISBN-13
978-3-540-06187-8 (9783540061878)
DOI
10.1007/BFb0061716
Schweitzer Classification
Content
F-expansions revisited.- Non-compact dynamical systems.- Ergodic G-induced flows on compact solvmanifolds.- Products of semi-dynamical systems.- Uniqueness of flow solutions of differential equations.- Symbolic dynamics for hyperbolic systems.- Monothetic automorphisms of a compact abelian group.- On the embedding problem and the Hilbert-Smith conjecture.- A group associated with an extension.- The unique ergodigity of the horocycle flow.- How should we define topological entropy?.- Some general dynamical notions.- Group-like decompositions of Riemannian bundles.- Non-minimality of 3-Manifolds.- Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing.- Locally connected almost periodic minimal sets.- Choquet theory and ergodic measures for compact group extensions.- The intermediate transformation groups.- The structure of compact connected groups which admit an expansive automorphism.- Characteristic sequences.- Relative equicontinuity and its variations.- Approximation by measure-preserving homeomorphisms.- Class properties of dynamical systems.- Spectra of induced transformations.- Asymptotic cycles for discrete flows.- Abelian semi-groups of expanding maps.- Irregularities of distribution in dynamical systems.- Minimal sets and Souslin sets.- Some results on the classification of non-invertible measure preserving transformations.- Groups of measure preserving transformations.- Classification of subshifts of finite type.