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＜E-Book＞
Ergodic Theory on Compact Spaces / by M. Denker, C. Grillenberger, K. Sigmund
(Lecture Notes in Mathematics. ISSN:16179692 ; 527)

Edition	1st ed. 1976.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1976
Size	VI, 366 p : online resource
Authors	*Denker, M author Grillenberger, C author Sigmund, K author SpringerLink (Online service)
Subjects	LCSH:Mathematics FREE:Mathematics
Notes	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 HTTP:URL=https://doi.org/10.1007/BFb0082364

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