Dynamical Systems: Proceedings of the Special Year held at the University of Maryland, College Park, 1986–87

J. C. Alexander, William Parry (auth.), James C. Alexander (eds.)9783540501749, 3540501746

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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Table of contents :
Discerning fat Baker’s transformations….Pages 1-6
Weakly mixing actions of F ∞ have infinite subgroup actions which are Bernoulli….Pages 7-22
Nasu’s simple automorphisms….Pages 23-32
Almost Markov and shift equivalent sofic systems….Pages 33-93
A note on the existence of periodic solutions of a differential system….Pages 94-99
The Barge-Martin decomposition theorem for pointwise nonwandering maps of the interval….Pages 100-104
Dynamics of tangent….Pages 105-111
Geodesic flow on the two-sphere part II: Ergodicity….Pages 112-153
Poincaré sequences in infinite measure spaces and complementing subsets of the integers….Pages 154-157
Non-self-similar attractors of hyperbolic iterated function systems….Pages 158-171
Enveloping semigroup in ergodic theory and a proof of Moore’s ergodicity theorem….Pages 172-179
Ratner’s rigidity theorem for geometrically finite Fuchsian groups….Pages 180-195
Counting circles….Pages 196-215
Periodic behavior of linear automata….Pages 216-219
Basic sets: Sets that determine the dimension of basin boundaries….Pages 220-250
Topological conjugacy for 1-block factor maps of subshifts and sofic covers….Pages 251-260
Approximately transitive (2) flows and transformations have simple spectrum….Pages 261-280
Remarks on recurrence and orbit equivalence of nonsingular endomorphisms….Pages 281-290
Ergodic theory of foliations and a theorem of Sacksteder….Pages 291-328
Distal flows of non abelian groups with finite codimension….Pages 329-341
Automorphisms of suspension flows over the circle….Pages 342-353
Sturmian minimal systems associated with the iterates of certain functions on an interval….Pages 354-360
Volume growth and topological entropy for random transformations….Pages 361-373
Decidability of shift equivalence….Pages 374-424
A group rotation factor of a non-rigid Rank-1 map….Pages 425-439
Periodic points, decidability and Markov subgroups….Pages 440-454
On measures induced on subsystems….Pages 455-464
On iterated maps of the interval….Pages 465-563
Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markov shifts….Pages 564-607
Three bernoulli factors that generate an ergodic flow….Pages 608-616
Equilibrium states and weighted uniform distribution of closed orbits….Pages 617-625
Problems and perspectives in the theory of Markov shifts….Pages 626-637
Endomorphisms of the full shift which are bijective on an infinity of periodic subsets….Pages 638-644
Spectral multiplicity for non-abelian Morse sequences….Pages 645-652
Rectangular Tilings of ℝ n and free ℝ n -actions….Pages 653-688
Properties of the directional entropy function for cellular automata….Pages 689-705
Complexity of functions and entropy….Pages 706-717
Nonautonomous linearization….Pages 718-726