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.
26 November 2018, 12:00 (Monday, 8th week, Michaelmas 2018)
Mathematical Institute, Woodstock Road OX2 6GG
Martin Slowik (TU Berlin)
Department of Statistics
Christina Goldschmidt (Department of Statistics, University of Oxford),
James Martin (Department of Statistics, University of Oxford)