WIAS Preprint No. 1081, (2005)
Metastability: A potential theoretic approach
- Bovier, Anton
2010 Mathematics Subject Classification
- 60J45 82C26
- Metastability, Markov processes, potential theory, capacity, spectral theory
Metastability is an ubiquitous phenomenon of the dynamical behaviour of complex systems. In this talk, I describe recent attempts towards a model-independent approach to metastability in the context of reversible Markov processes. I will present an outline of a general theory, based on careful use of potential theoretic ideas and indicate a number of concrete examples where this theory was used very successfully. I will also indicate some challenges for future work.