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Spectral gap for Glauber dynamics of hierarchical spin models

Presented by: 
Thierry Bodineau École Polytechnique
Date: 
Friday 26th October 2018 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 

We will present a renormalisation group approach to estimate the decay of the spectral gap of hierarchical models. In particular, we will consider a hierarchical version of the 4-dimensional $\Phi_4$ model at the critical point and its approach from the high temperature side, as well as a hierarchical 2-dimensional Sine-Gordon model. For these models, we show that the spectral gap decays polynomially like the spectral gap of the dynamics of a free field. This is a joint work with Roland Bauerschmidt.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons