Ensembles bornés dans un espace uniforme
Ensembles K-analytiques et fonctions croissantes de compacts
Ensembles minimaux sans mesure d'entropie maximale.
Ensembles singuliers associés aux espaces de Banach réticulés
À tout espace de Banach fonctionnel réticulé est associée une quasi-topologie. Avec une hypothèse de dénombrabilité convenable, cette notion généralise la topologie polonaise classique. Les ensembles singuliers sont les ensembles discrets, clairsemés etc. que l’on caractérise à l’aide des mesures qu’ils portent. Le théorème de Baire admet aussi une généralisation. Application est faite au modèle probabiliste et à la théorie du potentiel.
Entourage Uniformities for Frames.
Entropic approximation in kinetic theory
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
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...
Entropic dimension of uniform spaces
Entropie de l'image inverse d'une application
Entropie et itinéraires des applications unimodales de l'intervalle
Entropies of self-mappings of topological spaces with richer structures
For mappings , where is a merotopic space equipped with a diameter function, we introduce and examine an entropy, called the -entropy. The topological entropy and the entropy of self-mappings of metric spaces are shown to be special cases of the -entropy. Some connections with other characteristics of self-mappings are considered. We also introduce and examine an entropy for subsets of , which is closely connected with the -entropy of .
Entropy, capacity and arrangements on the cube.
Entropy for noninvariant measures
Entropy, homology and semialgebraic geometry
Entropy linearity and chain-recurrence
Entropy numbers of operators in Banach spaces
Entropy of piecewise monotone mappings
Entropy of topological directions
Entropy of transformations of the unit interval
Entropy-minimality.