Fonctions multiplicatives, sommes d’exponentielles, et loi des grands nombres

The Law of Large Numbers for Ballistic, Multi-dimensional Random Walks on Random Lattices with Correlated Sites La Loi Des Grands Nombres Pour Des Marches Aléatoires Multidimensionelles Au Comportement Ballistique Sur Des Réseaux Aléatoires Avec Des Sites Coréllés

– We consider random walk in a random environment on d-dimensional integer lattice Z with a uniform local drift. The environment is described as a stationary field of random vectors (pk(e)), k, e ∈ Z, |e| = 1 taking values in the standard 2d-dimensional simplex with the support of the law of ∑ |e|=1 epk(e) lying on one side of a certain hyperplane (the so-called non-nestling condition). We admi...

Epiconvergence D’une Suite De Sommes En Niveaux De Fonctions Convexes

We consider the problem of minimizing the max of two convex functions from both approximation and sensitivity point of view.This lead up to study the epiconvergence of a sequence of level sums of convex functions and the related dual problems.

Diviseurs Des Nombres Ellipséphiques

Moyennes de certaines fonctions multiplicatives sur les entiers friables, 2

We derive new, very precise estimates for averages of arithmetic functions over friable integers from analytic information on their associated Dirichlet series. These yield significant improvements upon available results in classical cases, in particular concerning the effective expansion of “abstract” main terms of de Bruijn type. These results also permit new applications, linked to the solub...

Addition of ± 1 : Application to Arithmetic

Abstract We show that some classical identities about multiplicative functions, and the Riemann zeta-function, may conveniently be interpreted in terms of the addition of ±1 to some alphabets. Résumé Nous montrons que des identités classiques concernant des fonctions multiplicatives de la théorie des nombres, et la fonction zeta de Riemann, s’interprètent commodément en terme de l’opération : “...