Paul Lévy et le mouvement brownien

Project-Team DEMAR DEambulation et Mouvement ARtificiel

Analyse, Modélisation et Simulation du Mouvement Humain

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Relation entre le pouvoir toxique et le pouvoir antigene des toxines diphterique et tetanique

THE SUPREMUM OF BROWNIAN LOCAL TIMES ON HÖLDER CURVES LE SUPREMUM DU TEMPS LOCAUX D’UN MOUVEMENT BROWNIEN SUR LES COURBES HOLDERIENNES Short title: Brownian local times

For f : [0, 1]→ R, we consider Lft , the local time of spacetime Brownian motion on the curve f . Let Sα be the class of all functions whose Hölder norm of order α is less than or equal to 1. We show that the supremum of Lf1 over f in Sα is finite is α > 12 and infinite if α < 1 2 . Abstrait: Soit Wt un mouvement brownien et soit L f t le temps local du processus (t,Wt) pour le courbe f : [0, 1...

Perturbed and Non-perturbed Brownian Taboo Processes

– In this paper we study the Brownian taboo process, which is a version of Brownian motion conditioned to stay within a finite interval, and the α-perturbed Brownian taboo process, which is an analogous version of an α-perturbed Brownian motion.We are particularly interested in the asymptotic behaviour of the supremum of the taboo process, and our main results give integral tests for upper and ...