Self-interacting Process

Date: 8 - 12 July 2024

Location: Isaac Newton Institute

This workshop will focus on the analysis of processes which interact locally with their own past. These self-interacting processes arise in a variety of models used in the physical sciences, e.g., describing experimentally observed behaviours in biology (ants preferentially following previous pheromone trails), or physical processes (polymers cannot intersect themselves). They can also appear as mathematical objects, for instance as a description of the effective interaction of a stochastic process in an annealed random environment, or as representations of correlations in random fields (random walk representations of spin systems).  We will concentrate both on specific memory or learning mechanisms that arise in concrete problems, as well as on general theory and methods for studying the effects of that memory.

The areas of interest of the workshop include, but are not limited to, (i) random walks arising in the study of statistical mechanics, both quantum and classical, (ii) stochastic processes in random environments, and (iii) the effects of long-range correlations.

This workshop will be held during the extended programme, Stochastic Systems for Anomalous Diffusion. Professor Gordon Slade will deliver the Clay Lecture

CMI Enhancement and Partnership Program