Jumps of entropy in one dimension
Michał Misiurewicz (1989)
Fundamenta Mathematicae
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Michał Misiurewicz (1989)
Fundamenta Mathematicae
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M. Misiurewicz, E. Visinescu (1991)
Annales de l'I.H.P. Probabilités et statistiques
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Louis Block, Ethan M. Coven (1989)
Banach Center Publications
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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?
Teturo Kamae (1977)
Publications mathématiques et informatique de Rennes
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Cánovas, Jose S., Medina, David López (2010)
Discrete Dynamics in Nature and Society
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Coven, E.M., Smítal, J. (1993)
Acta Mathematica Universitatis Comenianae. New Series
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Sylvie Ruette (2005)
Studia Mathematica
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We prove that for continuous interval maps the existence of a non-empty closed invariant subset which is transitive and sensitive to initial conditions is implied by positive topological entropy and implies chaos in the sense of Li-Yorke, and we exhibit examples showing that these three notions are distinct.
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.
Cánovas, J.S. (2003)
Mathematica Pannonica
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Yang, Xiao-Song, Bai, Xiaoming (2006)
Discrete Dynamics in Nature and Society
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