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Topological Dynamics

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Overview
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Markov Arrays, Additive Functionals, and Uniform Ellipticity
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Variance Growth, Center-Tightness, and the Central Limit Theorem
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The Local Limit Theorem in the Irreducible Case
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The Local Limit Theorem in the Reducible Case
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Local Limit Theorems for Moderate Deviations and Large Deviations
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Important Examples and Special Cases
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Local Limit Theorems for Markov Chains in Random Environments
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Special Topics
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Feller Transition Functions
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Main Definitions and Basic Facts
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Topological Dynamics and Colorings
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Topological Dynamical Systems
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Minimality and Recurrence
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Dynamical Systems Disjoint from Any Minimal System Under Group Actions
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Einige Grundbegriffe der topologischen Dynamik
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Theory of Elastic Stability
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Topological Dynamics
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The Normal Form Theory
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Metrizability, Paracompactness, and Related Properties
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Bifurcations de tores invariants
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Rhythmische Abbildungen abelscher Gruppen II
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Mixing properties of substitutions
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Coincidence values and spectra of substitutions
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Distal extensions of minimal transformation groups
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Concerning one class of distal minimal sets
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Group-like extensions of minimal sets
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Distal criterion of transitive transformation groups
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Integration of almost periodic functions
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Existence and smoothness of the integral of a Hamiltonian system of a certain form
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Topological transitivity of cylindrical cascades
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The Bohr almost periodic functions do not form a linear space
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Kriterien f�r Fastperiodizit�t
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Differentiability and rigidity of M�bius groups
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Homoclinic points in conservative systems
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Topological dynamics of transformations induced on the space of probability measures
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Commuting continuous flows on manifolds
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A construction of the greatest ambit
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Lifting expansive homeomorphisms to symbolic flows
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Transformation groups without minimal sets
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Distal and proximal extensions of minimal flows
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Transitive homeomorphisms of the circle
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Lifting dynamical properties
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Types of isomorphisms of transformation groups
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Local isomorphisms and local parallelizability in dynamical systems theory
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Generators for topological entropy and expansiveness
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Homomorphisms of expansive transformation groups
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Recursive properties of transformation groups in hyperspaces
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Regionally almost periodic transformation groups
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Construction of locally almost periodic minimal transformation groups
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The proximal relation in a class of substitution minimal sets
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Lifting recursion properties
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P-recursion and transformation groups having an equicontinuous replete semigroup
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Semiflows associated with compact and uniform processes
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Embedding homeomorphisms inC 1-flows
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Minimal functions with unbounded integral
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Tangentially distal flows
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Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups
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Residual properties and almost equicontinuity
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Tilings, substitution systems and dynamical systems generated by them
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Structure and homomorphisms of minimal sets
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A note on the existence of asymptotic pairs of points
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Some general dynamical notions
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Locally connected almost periodic minimal sets
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Irregularities of distribution in dynamical systems
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General control systems
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Weakly Recurrent Operators
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Regular homeomorphisms of connected 3-manifolds
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Recurrent Tuples and Backward Shifts on Double Sequence Spaces
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Orbit equivalence of Cantor minimal systems and their continuous spectra
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Universal minimal flows from a homotopical perspective
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Spaces of Tilings, Finite Telescopic Approximations and Gap-Labeling
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Hölder Regularity of the Solutions of the Cohomological Equation for Roth Type Interval Exchange Maps
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Homoclinic groups, IE groups, and expansive algebraic actions
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Chaotic actions of topological semigroups
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On the dimension group of unimodular $${\mathcal {S}}$$-adic subshifts
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Recent development of chaos theory in topological dynamics
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Positively expansive homeomorphisms on compact metric spaces
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Dynamical Systems in Categories
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A Relation Between Almost Automorphic and Levitan Almost Periodic Points in Compact Minimal Flows
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Entropy of Dynamical Systems with Repetition Property
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Some Aspects of Stability for Semigroup Actions and Control Systems
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Transducer generated arrays of robotic nano-arms
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Non-reversibility and self-joinings of higher orders for ergodic flows
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Minimal extensions of flows with amenable acting groups
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Multiply minimal points for the product of iterates
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No hyperbolic sets in J∞ for infinitely renormalizable quadratic polynomials
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The narrow recurrence of Markov Chains
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Fourier Quasicrystals on $$\mathbb {R}^n$$
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Topological Entropy of Iterated Set-Valued Dynamical Systems
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Upper frequent hypercyclicity and related notions
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A Note on Double Minimality
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Special Flow, Weak Mixing and Complexity
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Flows of locally finite graphs
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Revisiting variations in topological transitivity
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Three-dimensional affine crystallographic groups
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Stability in general control systems
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Embedding a differentiable homeomorphism in a flow subject to a regularity condition on the derivatives of the positive transition homeomorphisms
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On some stability notions in topological dynamics
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Attraction in topological dynamics
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Almost periodic solutions of linear partial differential equations
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Fields of almost periodic sequences
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Flows of almost strong characteristic 0 with generative phase groups
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PLANE AUTONOMOUS SYSTEMS
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Recurrence in collective dynamics: From the hyperspace to fuzzy dynamical systems
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Complete guiding sets for a class of almost-periodic differential equations
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Transitivity and sensitivity of compositions of commuting maps
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Recurrence and invariance of backward limit points
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On balance properties of hypercubic billiard words
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Indecomposability of group actions
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Minimal dynamics on Menger manifolds
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Hyperbolization of cocycles by isometries of the Euclidean space
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Point transitivity, -transitivity and multi-minimality
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When are all closed subsets recurrent?
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KMS states on the crossed product -algebra of a homeomorphism
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On the virtual automorphism group of a minimal flow
inferred← citeshttps://doi.org/10.1017/etds.2020.88openalex-snapshot
Periodic point free homeomorphisms and irrational rotation factors
inferred← citeshttps://doi.org/10.1017/etds.2021.175openalex-snapshot
Entropy pair realization
inferred← citeshttps://doi.org/10.1017/etds.2022.29openalex-snapshot
Existence and non-existence of solutions to the coboundary equation for measure-preserving systems
inferred← citeshttps://doi.org/10.1017/etds.2023.46openalex-snapshot
On the abundance of k-fold semi-monotone minimal sets in bimodal circle maps
inferred← citeshttps://doi.org/10.1017/etds.2023.58openalex-snapshot
Tame or wild Toeplitz shifts
inferred← citeshttps://doi.org/10.1017/s0013091515000607openalex-snapshot
David B. Ellis and Robert Ellis Automorphisms and equivalence relations in topological dynamics (Cambridge University Press, 2014), 281 pp, 978-1-107-63322-3 (paperback), £45/$70.
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A map with topological minimal self-joinings in the sense of del Junco
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A characterization of the Morse minimal set up to topological conjugacy
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