Ergodic theory on compact spaces
Author(s)
Bibliographic Information
Ergodic theory on compact spaces
(Lecture notes in mathematics, 527)
Springer-Verlag, 1976
- : Berlin
- : New York
Available at / 69 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||5277607797S
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
: Berlin510/L4972020929635
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Note
Bibliography: p. [333]-345
Includes index
Description and Table of Contents
Table of Contents
Measure-theoretic dynamical systems.- Measures on compact metric spaces.- Invariant measures for continuous tranformations.- Time averages.- Ergodicity.- Mixing and transitivity.- Shifts and subshifts.- Measures on the shift space.- Partitions and generators.- Information and entropy.- The computation of entropy.- Entropy for Bernoulli and Markov shifts.- Ergodic decompositions.- Topological entropy.- Topological generators.- Expansive homeomorphisms.- Subshifts of finite type.- The variational principle for topological entropy.- Measures with maximal entropy-Intrinsically ergodic systems.- Entropy-Expansive homeomorphisms.- The specification property.- Specification and expansiveness.- Basic sets for axiom A.- Automorphisms of the torus.- More on subshifts of finite type.- Preparations for generator theorems.- Combinatorial construction of minimal sets.- Finite generators for ergodic transformations (theorem of Krieger).- Strictly ergodic embedding (Theorem of Jewett and Krieger).- Finite generators for aperiodic transformations.- Embedding theorems for aperiodic transformations.
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