The Annals of Probability
- Ann. Probab.
- Volume 40, Number 1 (2012), 339-371.
Pointwise estimates and exponential laws in metastable systems via coupling methods
We show how coupling techniques can be used in some metastable systems to prove that mean metastable exit times are almost constant as functions of the starting microscopic configuration within a “meta-stable set.” In the example of the Random Field Curie Weiss model, we show that these ideas can also be used to prove asymptotic exponentiallity of normalized metastable escape times.
Ann. Probab., Volume 40, Number 1 (2012), 339-371.
First available in Project Euclid: 3 January 2012
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 82C44: Dynamics of disordered systems (random Ising systems, etc.) 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 60G70: Extreme value theory; extremal processes
Bianchi, Alessandra; Bovier, Anton; Ioffe, Dmitry. Pointwise estimates and exponential laws in metastable systems via coupling methods. Ann. Probab. 40 (2012), no. 1, 339--371. doi:10.1214/10-AOP622. https://projecteuclid.org/euclid.aop/1325605005