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This book is a very readable exposition of the modern theory of topological dynamics and presents diverse applications to such areas as ergodic theory, combinatorial number theory and differential equations. There are three parts: 1) The abstract theory of topological dynamics is discussed, including a comprehensive survey by Furstenburg and Glasner on the work and influence of R Ellis. Presented in book form for the first time are new topics in the theory of dynamical systems, such as weak almost-periodicity, hidden eigenvalues, a natural family of factors and topological analogues of ergodic decomposition. 2) The power of abstract techniques is demonstrated by giving a very wide range of applications to areas of ergodic theory, combinatorial number theory, random walks on groups and others. 3) Applications to non-autonomous linear differential equations are shown. Exposition on recent results about Floquet theory, bifurcation theory and Lyapanov exponents is given.
This book is a very readable exposition of the modern theory of topological dynamics and presents diverse applications to such areas as ergodic theory, combinatorial number theory and differential equations.
Produkteigenschaften
- Artikelnummer: 9780821806081
- Medium: Buch
- ISBN: 978-0-8218-0608-1
- Verlag: American Mathematical Society
- Erscheinungstermin: 30.12.1997
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 1997
- Produktform: Kartoniert
- Gewicht: 641 g
- Seiten: 334
- Ausgabetyp: Kein, Unbekannt