Some log-correlated random fields and their extrema

par David Belius (University of Zurich)

jeudi 9 juin 2016, 14:00 → 15:00 Europe/Paris

Darwin D Salle 83 (ICJ, La Doua)

Log-correlated random fields, and their extrema, show up in diverse settings, including the theory of cover times, random matrix theory and number theory. Often this can be explained by way of a multiscale decomposition which exhibits an approximate branching structure. I will recall the main ideas behind the analysis of the most basic model of the log-correlated class, namely Branching Random Walk, where the branching structure is explicit, and explain how to adapt these to models where the branching structure is approximate and not obvious.