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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
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
