Metastable behaviour of the dilute Curie-Weiss model
Metastability is a phenomenon that occurs in the dynamics of a multi-stable non-linear system subject to noise. It is characterized by the existence of multiple, well separated time scales. The talk will be focus on the metastable behavior of the dilute Curie-Weiss model, that is a Ising spin system on a Erdos-Renyi random graph with $N$ vertices and retention probability $p \in (0,1)$. Each spin interacts with a external field, while the interaction among neighbouring spin variables is assumed to be of the same strength. In particular, I will discuss bounds on the mean exit time from the metastable to the stable state and the spectral gap.
Date: 26 November 2018, 12:00 (Monday, 8th week, Michaelmas 2018)
Venue: Mathematical Institute, Woodstock Road OX2 6GG
Speaker: Martin Slowik (TU Berlin)
Organising department: Department of Statistics
Organisers: Christina Goldschmidt (Department of Statistics, University of Oxford), James Martin (Department of Statistics, University of Oxford)
Part of: Probability seminar
Booking required?: Not required
Audience: Public
Editors: Christina Goldschmidt, James Martin