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AuthorDenker, Manfred. author
TitleErgodic Theory on Compact Spaces [electronic resource] / by Manfred Denker, Christian Grillenberger, Karl Sigmund
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1976
Connect tohttp://dx.doi.org/10.1007/BFb0082364
Descript VI, 366 p. online resource

CONTENT

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 entropyโ{128}{148}Intrinsically ergodic systems -- Entropyโ{128}{148}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


Mathematics Mathematics Mathematics general



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