Ergodic Theory on Compact Spaces [electronic resource] /
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.
Main Authors: | , , , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1976
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Subjects: | Mathematics., Mathematics, general., |
Online Access: | http://dx.doi.org/10.1007/BFb0082364 |
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