Dynamical Systems : Proceedings of the Special Year Held at the University of Maryland, College Park, 1986-87. 1st ed. 1988

種類:

電子ブック

責任表示:

edited by James C. Alexander

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988

著者名:

• Alexander, James C.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1342

ISBN:

9783540459460 [3540459464]    

注記:

Discerning fat Baker’s transformations -- Weakly mixing actions of F? have infinite subgroup actions which are Bernoulli -- Nasu’s simple automorphisms -- Almost Markov and shift equivalent sofic systems -- A note on the existence of periodic solutions of a differential system -- The Barge-Martin decomposition theorem for pointwise nonwandering maps of the interval -- Dynamics of tangent -- Geodesic flow on the two-sphere part II: Ergodicity -- Poincaré sequences in infinite measure spaces and complementing subsets of the integers -- Non-self-similar attractors of hyperbolic iterated function systems -- Enveloping semigroup in ergodic theory and a proof of Moore’s ergodicity theorem -- Ratner’s rigidity theorem for geometrically finite Fuchsian groups -- Counting circles -- Periodic behavior of linear automata -- Basic sets: Sets that determine the dimension of basin boundaries -- Topological conjugacy for 1-block factor maps of subshifts and sofic covers -- Approximately transitive (2) flows and transformati
The papers in this volume reflect the richness and diversity of the subject of dynamics. Some are lectures given at the three conferences (Ergodic Theory and Topological Dynamics, Symbolic Dynamics and Coding Theory and Smooth Dynamics, Dynamics and Applied Dynamics) held in Maryland between October 1986 and March 1987; some are work which was in progress during the Special Year, and some are work which was done because of questions and problems raised at the conferences. In addition, a paper of John Milnor and William Thurston, versions of which had been available as notes but not yet published, is included.

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