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.
Entropie et itinéraires des applications unimodales de l'intervalle
Entropy for noninvariant measures
Entropy of transformations of the unit interval
Entropy-minimality.
Epimorphisms of inverse semigroups of homeomorphisms between closed subsets.
Equicontinuity of iterates of circle maps.
Equicontinuity, shadowing and distality in general topological spaces
We consider the notions of equicontinuity point, sensitivity point and so on from a topological point of view. Many of these notions can be sensibly defined either in terms of (finite) open covers or uniformities. We show that for the notions of equicontinuity point and sensitivity point, Hausdorff or uniform versions coincide in compact Hausdorff spaces and are equivalent to the standard definitions stated in terms of a metric in compact metric spaces. We prove that a uniformly chain transitive...
Equicontinuous commutative semigroups of onto functions
Equidistribution in the dual group of the -adic integers
Let be the quotient group of the -adele ring of an algebraic number field by the discrete group of -integers. Given a probability measure on and an endomorphism of , we consider the relation between uniform distribution of the sequence for -almost all and the behavior of relative to the translations by some rational subgroups of . The main result of this note is an extension of the corresponding result for the -dimensional torus due to B. Host.
Equilibria in a class of games and topological results implying their existence.
We survey results related to the problem of the existence of equilibria in some classes of infinitely repeated two-person games of incomplete information on one side, first considered by Aumann, Maschler and Stearns. We generalize this setting to a broader one of principal-agent problems. We also discuss topological results needed, presenting them dually (using cohomology in place of homology) and more systematically than in our earlier papers.
Equilibrium for perturbations of multifunctions by convex processes.
Equivalence and stability of random fixed point iterative procedures.
Equivalence of certain free topological groups
In this paper we give a complete isomorphical classification of free topological groups of locally compact zero-dimensional separable metric spaces . From this classification we obtain for locally compact zero-dimensional separable metric spaces and that the free topological groups and are isomorphic if and only if and are linearly homeomorphic.
Equivalences, a-semigroups and a-congruences.
Equivalent Cauchy sequences and contractive fixed points in metric spaces
Equivalent contractive conditions in metric spaces.
Equivalent extensions to Caristi-Kirk's fixed point theorem, Ekeland's variational principle, and Takahashi's minimization theorem.