Metastability and Condensation

Seminar | March 20 | 3-4 p.m. | 1011 Evans Hall

 Fraydoun Rezakhanlou, UC Berkeley

 Department of Statistics

Dynamical systems that are perturbed by small random noises are known to exhibit metastable behavior. Analogously, random walks with tendency towards a finite collection of sites may exhibit metastability.

Zero Range Process is a random walk on a simplex with metastable states residing at the vertices. Interpreting this process as a particle system on a one dimensional lattice, the metastable states correspond to the condensates. In this talk I give an overview of some known results in both the continuous and discrete settings, and discuss some open questions.