Probability and Stochastic Analysis Seminar  RSS

Sessions

Nathanaël Berestycki 24/06/2026, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttps://tecnico.ulisboa.pt
, Universität Wien

Massive holomorphicity in near-critical dimers and the Sine Gordon model

We consider the near-critical dimer model on isoradial graphs, with Temperleyan boundary conditions. We show that the centered height function converges as the mesh size tends to zero to a limiting field which agrees with the (electromagnetically tilted) sine-Gordon model at the free fermion point. This answers a longstanding question in the field. A crucial part of the work is to develop a theory of massive holomorphicity both in the continuum and at the discrete level.

Password do zoom: 359751

Except for a few of the oldest sessions these are from the Seminário de Probabilidade e Mecânica Estatística at IMPA which is co-sponsored by several institutions, in particular Instituto Superior Técnico.