Del 527 i serien Lecture Notes in Mathematics

Ergodic Theory on Compact Spaces

Häftad, Engelska, 1976

AvM. Denker,C. Grillenberger,K. Sigmund

569 kr

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Produktinformation

Utgivningsdatum1976-07-01
Mått170 x 250 x 20 mm
Vikt557 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor366
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540077978

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik

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.