Large deviations and concentration of scaling limits for $ (1+1) $ dimensional fields with Laplacian interaction with pinning and wetting

Not scheduled
50m
Villa Finaly

Villa Finaly

Via Bolognese, 134 R 50139 Florence Italy

Speaker

Stefan Adams

Description

We study scaling limits and corresponding large deviation
principles of random fields perturbed by an attractive force towards the origin and/or by hard-wall (wetting) constraints. In particular, we analyse the critical situation that the rate function admits more than one minimiser leading to a concentration of measure problems.
Our models are in fact interface models with Laplacian interaction, and such linear chain models with Laplacian interaction appear naturally in the physics literature in the context of semi-flexible polymers. We discuss these connections as well as the ones with the related gradient models. These random fields are a class of model systems arising in the studies of random interfaces, critical phenomena, random geometry, field theory, and elasticity theory.

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