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Tuesday 13 March 2018, 16:15-17:15
Extremal and local statistics for gradient field models
- đ¤ Speaker: Wei Wu (Warwick) đ Website
- đ Date & Time: Tuesday 13 March 2018, 16:15 - 17:15
- đ Venue: MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
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Perla Sousi
Abstract
We study the gradient field models with uniformly convex potential (also known as the Ginzburg-Landau field) in two dimension. These log-correlated non-Gaussian random fields arise in different branches of statistical mechanics. Existing results were mainly focused on the CLT for the linear functionals. In this talk I will describe some recent progress on the global maximum and local CLT for the field, thus confirming they are in the Gaussian universality class in a very strong sense. The proof uses a random walk representation (a la Helffer-Sjostrand) and an approximate harmonic coupling (by J. Miller).
Series This talk is part of the Probability series.
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