The scaling limit of the 2D discrete Gaussian model at high temperature

Add 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
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• MR12, Centre for Mathematical Sciences
• Probability
• School of Physical Sciences
• Statistical Laboratory info aggregator
• bld31

Note that ex-directory lists are not shown.