Orateur
M.
Claude Godrèche
Description
The distribution of the first positive position reached by a random walker starting from the origin plays a fundamental role in describing the statistics of extremes and records in one-dimensional random walks.
We present a comprehensive study of this distribution, with a particular focus on its moments and asymptotic behaviour, in the case where the step distribution is continuous and symmetric, encompassing both diffusive random walks and Lévy flights.
