Seminário de Probabilidade e Análise Estocástica  RSS

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.

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Excepto para as sessões mais antigas trata-se de sessões do Seminário de Probabilidade e Mecânica Estatística do IMPA e co-organizado com outras instituições, em particular o Instituto Superior Técnico.