Speaker: Conrado Da Costa
Title: Superdiffusive planar random walks with polynomial space-time drifts

 Abstract:
In this talk we are going to consider a flexible model for anomalous diffusion on the plane which was motivated by an heuristic connection to the barycentric exclusion model, a self-interacting random walk. The planar random walks we consider elucidate how polynomial space-time drifts drive the anomalous diffusion. We will depart from the Barycentric exclusion model, explain its context in anomalous diffusion of polymer physics, motivate heuristically the connection with planar random walks with polynomial  space-time drifts and then prove the anomalous superdiffusive scaling for a class of planar random walks with polynomial space-time drifts The main goal of the talk is to explain the heuristic connection between the models and an explanation for the conjecture of scaling exponent 3/4 for the Barycentric exclusion model.

The talk is based on a joint work with Mikhail Menshikov, Vadim Shcherbakov, and Andrew Wade, for details see
https://arxiv.org/abs/2307.07458