Dynamical Systems

Table of Contents

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   Book Overview
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   Chapter 1 Discerning fat Baker’s transformations
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   Chapter 2 Weakly mixing actions of F∞ have infinite subgroup actions which are Bernoulli
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   Chapter 3 Nasu’s simple automorphisms
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   Chapter 4 Almost Markov and shift equivalent sofic systems
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   Chapter 5 A note on the existence of periodic solutions of a differential system
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   Chapter 6 The Barge-Martin decomposition theorem for pointwise nonwandering maps of the interval
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   Chapter 7 Dynamics of tangent
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   Chapter 8 Geodesic flow on the two-sphere part II: Ergodicity
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    Chapter 9 Poincaré sequences in infinite measure spaces and complementing subsets of the integers
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    Chapter 10 Non-self-similar attractors of hyperbolic iterated function systems
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    Chapter 11 Enveloping semigroup in ergodic theory and a proof of Moore’s ergodicity theorem
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    Chapter 12 Ratner’s rigidity theorem for geometrically finite Fuchsian groups
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    Chapter 13 Counting circles
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    Chapter 14 Periodic behavior of linear automata
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    Chapter 15 Basic sets: Sets that determine the dimension of basin boundaries
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    Chapter 16 Topological conjugacy for 1-block factor maps of subshifts and sofic covers
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    Chapter 17 Approximately transitive (2) flows and transformations have simple spectrum
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    Chapter 18 Remarks on recurrence and orbit equivalence of nonsingular endomorphisms
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    Chapter 19 Ergodic theory of foliations and a theorem of Sacksteder
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    Chapter 20 Distal flows of non abelian groups with finite codimension
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    Chapter 21 Automorphisms of suspension flows over the circle
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    Chapter 22 Sturmian minimal systems associated with the iterates of certain functions on an interval
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    Chapter 23 Volume growth and topological entropy for random transformations
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    Chapter 24 Decidability of shift equivalence
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    Chapter 25 A group rotation factor of a non-rigid Rank-1 map
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    Chapter 26 Periodic points, decidability and Markov subgroups
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    Chapter 27 On measures induced on subsystems
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    Chapter 28 On iterated maps of the interval
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    Chapter 29 Topological conjugacy for sofic systems and extensions of automorphisms of finite subsystems of topological Markov shifts
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    Chapter 30 Three bernoulli factors that generate an ergodic flow
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    Chapter 31 Equilibrium states and weighted uniform distribution of closed orbits
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    Chapter 32 Problems and perspectives in the theory of Markov shifts
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    Chapter 33 Endomorphisms of the full shift which are bijective on an infinity of periodic subsets
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    Chapter 34 Spectral multiplicity for non-abelian Morse sequences
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    Chapter 35 Rectangular Tilings of ℝn and free ℝn-actions
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    Chapter 36 Properties of the directional entropy function for cellular automata
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    Chapter 37 Complexity of functions and entropy
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    Chapter 38 Nonautonomous linearization