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Eine Bemerkung zur topologischen Entropie.

Manfred Denker, Michael S. Keane (1978)

Monatshefte für Mathematik

Entropic approximation in kinetic theory

Jacques Schneider (2004)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Approximation theory in the context of probability density function turns out to go beyond the classical idea of orthogonal projection. Special tools have to be designed so as to respect the nonnegativity of the approximate function. We develop here and justify from the theoretical point of view an approximation procedure introduced by Levermore [Levermore, J. Stat. Phys. 83 (1996) 1021–1065] and based on an entropy minimization principle under moment constraints. We prove in particular a global...

Entropic approximation in kinetic theory

Jacques Schneider (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Approximation theory in the context of probability density function turns out to go beyond the classical idea of orthogonal projection. Special tools have to be designed so as to respect the nonnegativity of the approximate function. We develop here and justify from the theoretical point of view an approximation procedure introduced by Levermore [Levermore, J. Stat. Phys.83 (1996) 1021–1065] and based on an entropy minimization principle under moment constraints. We prove in particular...

Entropie de l'image inverse d'une application

Rémi Langevin, Félix Przytycki (1992)

Bulletin de la Société Mathématique de France

Entropie et itinéraires des applications unimodales de l'intervalle

J.-C. Marcuard, B. Schmitt (1983)

Annales de l'I.H.P. Probabilités et statistiques

Entropies of self-mappings of topological spaces with richer structures

Miroslav Katětov (1993)

Commentationes Mathematicae Universitatis Carolinae

For mappings $f : S \to S$ , where $S$ is a merotopic space equipped with a diameter function, we introduce and examine an entropy, called the $δ$ -entropy. The topological entropy and the entropy of self-mappings of metric spaces are shown to be special cases of the $δ$ -entropy. Some connections with other characteristics of self-mappings are considered. We also introduce and examine an entropy for subsets of $S^{N}$ , which is closely connected with the $δ$ -entropy of $f : S \to S$ .