Title | Dynamical Systems [electronic resource] : Proceedings of the Special Year held at the University of Maryland, College Park, 1986-87 / edited by James C. Alexander |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1988 |
Connect to | http://dx.doi.org/10.1007/BFb0082819 |
Descript | X, 730 p. online resource |
Discerning fat Bakerโs transformations -- Weakly mixing actions of F? have infinite subgroup actions which are Bernoulli -- Nasuโs 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 -- Poincarรฉ 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 Mooreโs ergodicity theorem -- Ratnerโs 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 transformations have simple spectrum -- Remarks on recurrence and orbit equivalence of nonsingular endomorphisms -- Ergodic theory of foliations and a theorem of Sacksteder -- Distal flows of non abelian groups with finite codimension -- Automorphisms of suspension flows over the circle -- Sturmian minimal systems associated with the iterates of certain functions on an interval -- Volume growth and topological entropy for random transformations -- Decidability of shift equivalence -- A group rotation factor of a non-rigid Rank-1 map -- Periodic points, decidability and Markov subgroups -- On measures induced on subsystems -- On iterated maps of the interval -- Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markov shifts -- Three bernoulli factors that generate an ergodic flow -- Equilibrium states and weighted uniform distribution of closed orbits -- Problems and perspectives in the theory of Markov shifts -- Endomorphisms of the full shift which are bijective on an infinity of periodic subsets -- Spectral multiplicity for non-abelian Morse sequences -- Rectangular Tilings of ?n and free ?n-actions -- Properties of the directional entropy function for cellular automata -- Complexity of functions and entropy -- Nonautonomous linearization