Search

Workshop

Self-avoiding walk's endpoint displacement

  • Alan Hammond
E1 05 (Leibniz-Saal)

Abstract

The endpoint of n-step self-avoiding walk in Z^d is predicted to have a typical distance from the origin of the order of n^{3/4} when d=2; this distance is numerically determined to be of the order of n^{0.59...} when d=3. In work with Hugo Duminil-Copin, and more recently also with Alexander Glazman and Ioan Manolescu, we have rigorous results excluding the extremes of fast and slow behaviour for endpoint displacement: ballisticity and localization near the origin. The talk will outline some of the main arguments used in establishing these two assertions.

Katja Heid

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Jörg Lehnert

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Wolfgang Hackbusch

Max Planck Institute for Mathematics in the Sciences

Jürgen Jost

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Felix Otto

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Erwin Bolthausen

Universität Zürich