Differentiability and analycity of topological entropy for Anosov and geodesic flows.
A. Katok, M. Pollicott, G. Knieper (1989)
Inventiones mathematicae
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Displaying similar documents to “Extreme Relations for Topological Flows”
Differentiability and analycity of topological entropy for Anosov and geodesic flows.
Distributional chaos for flows
Yunhua Zhou (2013)
Czechoslovak Mathematical Journal
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Schweizer and Smítal introduced the distributional chaos for continuous maps of the interval in B. Schweizer, J. Smítal, Measures of chaos and a spectral decomposition of dynamical systems on the interval. Trans. Amer. Math. Soc. 344 (1994), 737–854. In this paper, we discuss the distributional chaos DC1–DC3 for flows on compact metric spaces. We prove that both the distributional chaos DC1 and DC2 of a flow are equivalent to the time-1 maps and so some properties of DC1 and DC2 for...
A Common Generalization of Topological and Measure-Theoretic Entropy
Günther Palm (1975)
Publications mathématiques et informatique de Rennes
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A remark on positive topological entropy of -buffer switched flow networks.
Yang, Xiao-Song (2005)
Discrete Dynamics in Nature and Society
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Symbolic dynamics and geodesic flows
Mark Pollicott (1991-1992)
Séminaire de théorie spectrale et géométrie
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Comparing measure theoretic entropy for -finite measures with topological entropy
Magda Komorníková, Jozef Komorník (1983)
Mathematica Slovaca
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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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Minimal self-joinings and positive topological entropy II
François Blanchard, Jan Kwiatkowski (1998)
Studia Mathematica
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An effective construction of positive-entropy almost one-to-one topological extensions of the Chacón flow is given. These extensions have the property of almost minimal power joinings. For each possible value of entropy there are uncountably many pairwise non-conjugate such extensions.
Regularity of topological and metric entropy of hyperbolic flows.
Gonzalo Contreras (1992)
Mathematische Zeitschrift
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Topological conditional entropy
Michał Misiurewicz (1976)
Studia Mathematica
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The topological entropy versus level sets for interval maps
Jozef Bobok (2002)
Studia Mathematica
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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?