Buch, Englisch, Band 527, 366 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1150 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 527, 366 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1150 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-07797-8
Verlag: Springer Berlin Heidelberg
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Weitere Infos & Material
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.
