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Ergodic Theory on Compact Spaces de M. Denker

Ergodic Theory on Compact Spaces: Lecture Notes in Mathematics, cartea 527

Autor M. Denker, C. Grillenberger, K. Sigmund
en Limba Engleză Paperback – iul 1976

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Specificații

ISBN-13: 9783540077978
ISBN-10: 3540077979
Pagini: 368
Ilustrații: VI, 366 p.
Dimensiuni: 170 x 250 x 19 mm
Greutate: 0.52 kg
Ediția:1976
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.