TY - BOOK AU - Denker,Manfred AU - Grillenberger,Christian AU - Sigmund,Karl ED - SpringerLink (Online service) TI - Ergodic Theory on Compact Spaces T2 - Lecture Notes in Mathematics, SN - 9783540382638 AV - QA1-939 U1 - 510 23 PY - 1976/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Mathematics, general N1 - 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 UR - http://dx.doi.org/10.1007/BFb0082364 ER -