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 “Entropy of Geodesic Flow and Exponent of Convergence of Some Dirichlet Series.”
Differentiability and analycity of topological entropy for Anosov and geodesic flows.
Regularity of measure theoretic entropy for geodesic flows of negative curvature: I.
Gerhard Knieper, Howard Weiss (1989)
Inventiones mathematicae
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On the Entropy of the Geodesic Flow in Manifolds Without Conjugate Points.
A. Freire, R. Mane (1982)
Inventiones mathematicae
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Invariant two-forms for geodesic flows.
Ursula Hammenstädt (1995)
Mathematische Annalen
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A disjointness theorem involving topological entropy
François Blanchard (1993)
Bulletin de la Société Mathématique de France
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Obstacle problems for scalar conservation laws
Laurent Levi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we are interested in bilateral obstacle problems for quasilinear scalar conservation laws associated with Dirichlet boundary conditions. Firstly, we provide a suitable entropy formulation which ensures uniqueness. Then, we justify the existence of a solution through the method of penalization and by referring to the notion of entropy process solution due to specific properties of bounded sequences in . Lastly, we study the behaviour of this solution...
On the modified entropy equation.
Gselmann, Eszter (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Conditions under which a Geodesic Flow is Anosov.
J. Bolton (1979)
Mathematische Annalen
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A new approach to mutual information. II
Fumio Hiai, Takuho Miyamoto (2010)
Banach Center Publications
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A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pressure and the mutual information are established. This paper is a continuation of the paper of Hiai and Petz in Banach Center Publications, Vol. 78.
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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Inequalities Between Eigenvalues, Entropy Numbers, and Related Quantities of Compact Operators in Banach Spaces.
Bernd Carl, Hans Triebel (1980)
Mathematische Annalen
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Entropy pairs of ℤ² and their directional properties
Kyewon Koh Park, Uijung Lee (2004)
Studia Mathematica
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Topological and metric entropy pairs of ℤ²-actions are defined and their properties are investigated, analogously to ℤ-actions. In particular, mixing properties are studied in connection with entropy pairs.
Maličky-Riečan's entropy as a version of operator entropy
Bartosz Frej (2006)
Fundamenta Mathematicae
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The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.