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Spectral gap for Glauber dynamics of hierarchical spin models

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SRQW02 - Quantum field theory, renormalisation and stochastic partial differential equations

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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