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Ergodic Theory on Compact Spaces (Lecture Notes in Mathematics, 527, Band 527) - Softcover

Denker, Manfred

 
9783540077978: Ergodic Theory on Compact Spaces (Lecture Notes in Mathematics, 527, Band 527)
Softcover
ISBN 10: 3540077979 ISBN 13: 9783540077978
Verlag: Springer, 2009

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540077979
ISBN 13 
9783540077978
Einband
Taschenbuch
Anzahl der Seiten
368
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