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University of Cambridge > Talks.cam > Probability > The scaling limit of the 2D discrete Gaussian model at high temperature

## The scaling limit of the 2D discrete Gaussian model at high temperatureAdd to your list(s) Download to your calendar using vCal - Jiwoon Park (Statslab)
- Tuesday 11 October 2022, 14:00-15:00
- MR12, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Perla Sousi. The discrete Gaussian model is a random lattice field model imitating the Gaussian free field but restricted to taking integer values. Given a lattice, assigning an integer value to each lattice site would give a configuration, and the probability of exhibiting a certain configuration is weighted by measuring the total amount of gradients of the configuration. Because of its relation with some fundamental problems in physics, such as the Kosterlitz-Thouless phase transition in the XY model, this model had drawn the attention of a number of mathematical physicists. Despite the growing understanding of the topic recently, studying the exact limiting behaviour of related models often turn out to be challenging. In this talk, I will describe why the scaling limit of the 2D discrete Gaussian model can be studied with great precision. This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
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