Entropy of topological directions
Andrzej Biś (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “Entropy of shifts on topological graph -algebras.”
Entropy of topological directions
Commutativity of the topological sequence entropy on finite graphs.
Cánovas, J.S. (2003)
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The topological entropy versus level sets for interval maps
Jozef Bobok (2002)
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We answer affirmatively Coven's question [PC]: Suppose f: I → I is a continuous function of the interval such that every point has at least two preimages. Is it true that the topological entropy of f is greater than or equal to log 2?
On topological entropy
Riečan, B.
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Topological conditional entropy
Michał Misiurewicz (1976)
Studia Mathematica
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On the origin and development of some notions of entropy
Francisco Balibrea (2015)
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Discrete dynamical systems are given by the pair (X, f ) where X is a compact metric space and f : X → X a continuous maps. During years, a long list of results have appeared to precise and understand what is the complexity of the systems. Among them, one of the most popular is that of topological entropy. In modern applications other conditions on X and f have been considered. For example X can be non-compact or f can be discontinuous (only in a finite number of points and with bounded...
Estimates of topological entropy of continuous maps with applications.
Yang, Xiao-Song, Bai, Xiaoming (2006)
Discrete Dynamics in Nature and Society
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A Remark on the Topological Entropy of Homeomorphisms.
Koichi Yano (1980)
Inventiones mathematicae
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A Common Generalization of Topological and Measure-Theoretic Entropy
Günther Palm (1975)
Publications mathématiques et informatique de Rennes
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An invariant for continuous mappings
J. S. Chawla (1980)
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Fiber entropy and conditional variational principles in compact non-metrizable spaces
Tomasz Downarowicz, Jacek Serafin (2002)
Fundamenta Mathematicae
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We consider a pair of topological dynamical systems on compact Hausdorff (not necessarily metrizable) spaces, one being a factor of the other. Measure-theoretic and topological notions of fiber entropy and conditional entropy are defined and studied. Abramov and Rokhlin's definition of fiber entropy is extended, using disintegration. We prove three variational principles of conditional nature, partly generalizing some results known before in metric spaces: (1) the topological conditional...
A remark on the topological entropies of covers and partitions
Pierre-Paul Romagnoli (2007)
Studia Mathematica
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We study if the combinatorial entropy of a finite cover can be computed using finite partitions finer than the cover. This relates to an unsolved question in [R] for open covers. We explicitly compute the topological entropy of a fixed clopen cover showing that it is smaller than the infimum of the topological entropy of all finer clopen partitions.