Probability and Stochastic Analysis Seminar  RSS

Alexander Drewitz 28/05/2025, 17:00 — 18:00 — Online
, Universität zu Köln

(Near-)critical behavior of a strongly correlated percolation model

For (near-)critical independent Bernoulli percolaAlexander Drewitztion, particularly profound results have been obtained in the high-dimensional setting as well as on planar lattices. We consider a strongly correlated percolation model — the level sets of the metric graph Gaussian free field — where significant understanding has also been developed regarding its (near-)critical behavior in intermediate dimensions. We will explain the origin of the model's integrability, and discuss its implications for the associated universality class. A particular focus will be on recent results for the critical exponents associated to the volume of critical connected components.

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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.