Metastability: a potential theoretic approach. (English) Zbl 1099.60052
Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 499-518 (2006).
Summary: 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.
For the entire collection see [Zbl 1095.00006].
For the entire collection see [Zbl 1095.00006].
MSC:
| 60J45 | Probabilistic potential theory |
| 82C26 | Dynamic and nonequilibrium phase transitions (general) in statistical mechanics |
