Anton Bovier (University of Bonn)
Title: Metastability: a universal approach through potential theory.
these lectures I will give an introduction and overview of the
achievement and challanges of the so-called potential theoretic
approach to metastablility.
There will be three parts:
1: Potential theory for (reversible) Markov processes and the abstract
definition of metastables sets in terms of capacities. Emergence of
Part 2: Variational principles and the computation of capacities. Blocking methods and the production of entropy. Examples.
Part 3: Challenges in high dimensions, coupling methods and regularity.
talk by Florent Barret will show a nice application of the general
theory in the setting of stochastic partial differential equations.
Reference: A. Bovier, Metastability, in Methods of Contemporary Statistical Mechanics, R. Kotecky, Ed., LNM 1970, Springer, 2009.