Ergodic Theory on Compact Spaces
Springer Berlin (Verlag)
978-3-540-07797-8 (ISBN)
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.
Erscheint lt. Verlag | 1.7.1976 |
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Reihe/Serie | Lecture Notes in Mathematics |
Zusatzinfo | VI, 366 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 170 x 250 mm |
Gewicht | 522 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
Schlagworte | average • Ergodicity • ergodic theory • Finite • Invariant • Mixing • Morphism • Theorem |
ISBN-10 | 3-540-07797-9 / 3540077979 |
ISBN-13 | 978-3-540-07797-8 / 9783540077978 |
Zustand | Neuware |
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