02901nam 2200589 450 99646650310331620220912160900.03-540-38263-110.1007/BFb0082364(CKB)1000000000438275(SSID)ssj0000322960(PQKBManifestationID)12131470(PQKBTitleCode)TC0000322960(PQKBWorkID)10296090(PQKB)10901418(DE-He213)978-3-540-38263-8(MiAaPQ)EBC5585299(Au-PeEL)EBL5585299(OCoLC)1066188950(MiAaPQ)EBC6842635(Au-PeEL)EBL6842635(PPN)155169610(EXLCZ)99100000000043827520220912d1976 uy 0engurnn|008mamaatxtccrErgodic theory on compact spaces /M. Denker, C. Grillenberger, and K. Sigmund1st ed. 1976.Berlin, Germany ;New York, New York :Springer-Verlag,[1976]©19671 online resource (VI, 366 p.) Lecture Notes in Mathematics,0075-8434 ;527Bibliographic Level Mode of Issuance: Monograph3-540-07797-9 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.Lecture Notes in Mathematics,0075-8434 ;527Metric spacesMetric spaces.515.42Denker Manfred1944-41897Sigmund Karl1945-Grillenberger Christian1941-MiAaPQMiAaPQMiAaPQBOOK996466503103316Ergodic theory on compact spaces262697UNISA