A disjointness theorem involving topological entropy
François Blanchard (1993)
Bulletin de la Société Mathématique de France
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François Blanchard (1993)
Bulletin de la Société Mathématique de France
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Francisco Balibrea (2015)
Topological Algebra and its Applications
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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...
Chakrabarti, C.G., De, Kajal (2000)
International Journal of Mathematics and Mathematical Sciences
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Christian Mauduit, Carlos Gustavo Moreira (2010)
Acta Arithmetica
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Gselmann, Eszter (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Thomas Hudetz (1998)
Banach Center Publications
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We define a new quantum dynamical entropy for a C*-algebra automorphism with an invariant state (and for an appropriate 'approximating' subalgebra), which entropy is a 'hybrid' of the two alternative definitions by Connes, Narnhofer and Thirring resp. by Alicki and Fannes (and earlier, Lindblad). We report on this entropy's properties and on three examples.
Margrit Gauglhofer, A. T. Bharucha-Reid (1973)
Annales de l'I.H.P. Probabilités et statistiques
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Chakrabarti, C.G., Chakrabarty, Indranil (2005)
International Journal of Mathematics and Mathematical Sciences
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Woo, C.H. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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