Results 51 to 60 of about 219 (133)
Entropies of self-mappings of topological spaces with richer structures [PDF]
, 1993 summary:For mappings $f\,:\, S\rightarrow S$, where $S$ is a merotopic space equipped with a diameter function, we introduce and examine an entropy, called the $\delta $-entropy.
Katětov, Miroslav
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Variational principles for topological entropies of subsets
, 2012 Let (X,T) be a topological dynamical system. We define the measure-theoretical lower and upper entropies h̲μ(T), h¯μ(T) for any μ∈M(X), where M(X) denotes the collection of all Borel probability measures on X.
Huang, Wen, Feng, De-Jun
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Seeing topological entanglement through the information convex
, 2019 The information convex allows us to look into certain information-theoretic constraints in two-dimensional topological orders. We provide a derivation of the topological contribution lnd_{a} to the von Neumann entropy, where d_{a} is the quantum ...
Bowen Shi
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Dynamical determinants and their applications [PDF]
This thesis is concerned with situations where we can define trace-class transfer oper- ators, and extract useful information from their determinants. The first topic is on Lyapunov exponents of random products of matrices.
Felton, Philip
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Naive entropy of dynamical systems [PDF]
, 2017 We study an invariant of dynamical systems called naive entropy, which is defined for both measurable and topological actions of any countable group.
Burton, Peter
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, 1972 Let f : X → X f:X \to X be a uniformly continuous map of a metric space. f is called h-expansive if there is an ε > 0 \varepsilon > 0 so that the set
Rufus Bowen
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Local variational principle concerning entropy of a sofic group action
, 2012 Recently Lewis Bowen introduced a notion of entropy for measure-preserving actions of countable sofic groups admitting a generating measurable partition with finite entropy; and then David Kerr and Hanfeng Li developed an operator-algebraic approach to ...
Zhang, Guohua, Guohua Zhang
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Entropy stability and Milnor–Thurston invariants for Bowen–Series-like maps
We define a family of discontinuous maps on the circle, called Bowen–Series-like maps, for geometric presentations of surface groups. The family has 2N parameters, where 2N is the number of generators of the presentation.
Alsedà i Soler, Lluís +3 more
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Bowen's entropy-conjugacy conjecture is true up to finite index
, 2013 For a topological dynamical system consisting of a continuous map f, and a (not necessarily compact) subset Z of X, Bowen (1973) defined a dimension-like version of entropy, h_X(f,Z).
Buzzi, Jerome +2 more
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