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Record Nr. |
UNISA996466503103316 |
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Autore |
Denker Manfred <1944-> |
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Titolo |
Ergodic theory on compact spaces / / M. Denker, C. Grillenberger, and K. Sigmund |
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Pubbl/distr/stampa |
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Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1976] |
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©1967 |
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ISBN |
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Edizione |
[1st ed. 1976.] |
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Descrizione fisica |
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1 online resource (VI, 366 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 527 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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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. |
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