Orateur
François Chapon
Description
Pitman's theorem states that a Brownian motion minus twice its current minimum is a Markov process. We will consider two a priori distinct approaches to this theorem: Biane's approach, using a non-commutative walk on the quantum group SL2 in the crystal regime "q=0", and Bougerol-Jeulin's approach, using Brownian motion on the hyperbolic space with infinite curvature. A unified version of these two approaches will be given via a presentation of the quantum group isolating a curvature parameter and the Planck's constant. Work in collaboration with R. Chhaibi.
