Entropy numbers of diagonal operators of logarithmic type.
Kühn, Thomas (2001)
Georgian Mathematical Journal
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Kühn, Thomas (2001)
Georgian Mathematical Journal
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Jan Goncerzewicz, Danielle Hilhorst (2000)
Banach Center Publications
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% We study the large time behaviour of entropy solutions of the Cauchy problem for a possibly degenerate nonlinear diffusion equation with a nonlinear convection term. The initial function is assumed to have bounded total variation. We prove the convergence of the solution to the entropy solution of a Riemann problem for the corresponding first order conservation law.
Mostafa Bendahmane, Mazen Saad (2005)
Revista Matemática Complutense
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In this paper, we study the question of existence and uniqueness of entropy solutions for a system of nonlinear partial differential equations with general anisotropic diffusivity and transport effects, supplemented with no-flux boundary conditions, modeling the spread of an epidemic disease through a heterogeneous habitat.
Yan, Rei-Fang (2006)
Revista Colombiana de Matemáticas
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Ammar, Kaouther, Redwane, Hicham (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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E. Robinson, Ayşe Şahin (2000)
Colloquium Mathematicae
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We prove that for a certain class of shifts of finite type with positive topological entropy there is always an invariant measure, with entropy arbitrarily close to the topological entropy, that has strong metric mixing properties. With the additional assumption that there are dense periodic orbits, one can ensure that this measure is Bernoulli.
Ammar, Kaouther (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Johan Andries, Mieke De Cock (1998)
Banach Center Publications
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A quantum dynamical system, mimicking the classical phase doubling map on the unit circle, is formulated and its ergodic properties are studied. We prove that the quantum dynamical entropy equals the classical value log2 by using compact perturbations of the identity as operational partitions of unity.
Jérôme Buzzi (2010)
Annales de l’institut Fourier
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Entropy-expanding transformations define a class of smooth dynamics generalizing interval maps with positive entropy and expanding maps. In this work, we build a symbolic representation of those dynamics in terms of puzzles (in Yoccoz’s sense), thus avoiding a connectedness condition, hard to satisfy in higher dimensions. Those puzzles are controled by a «constraint entropy» bounded by the hypersurface entropy of the aforementioned transformations. The analysis of those puzzles...