Maximum of the Sine-Gordon field


In recent years the extremal behaviour of log-correlated spatial Gaussian processes has drawn a lot of attention. For the lattice discrete Gaussian free field (DGFF) in d=2 as well as for general log-correlated Gaussian fields, the limiting law of the centred maximum has been identified as a randomly shifted Gumbel distribution.

In this talk I will explain how an analogous result is obtained for the non-Gaussian sine-Gordon field. I will present a strong coupling at all scales of the sine-Gordon field with the Gaussian free field and demonstrate how this can be used to extend existing methods for the maximum of the DGFF. The talk is based on a joint work with R. Bauerschmidt.

Access the event online

Click here to access this online seminar. You should be able to watch the event via a browser window, or via the Microsoft Teams desktop application. The meeting will start at around 3.00pm London time. Please note the change from the usual time.

Click here to get to the Junior Analysis Seminar webpage.