Percolation Today is an online seminar aiming to promote the exchange of exciting new ideas on both Bernoulli and dependent percolation processes, at a level appropriate for specialists in the area. We hope to be a focal point to foster new connections and collaborations between the global community of percolation lovers.

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Next talk

Percolation phase transition for the vacant set of random walks and random interlacements

Speakers: Subhajit Goswami, Pierre-Francois Rodriguez

Date: October 3rd, 2023, 16.30 CEST


The vacant set of the random walk on the torus is known to undergo a percolation phase transition at Poissonian time scales in dimensions 3 and higher. The two talks will discuss recent progress regarding the nature of the transition, both for this model and its Gibbsian limit, the vacant set of random interlacements. In particular, the results yield the long purported equality of various critical parameters naturally associated to this phase transition.  Various challenges encountered along the way call for completely new tools, built from scratch, which are of independent interest.

Based on joint works with H. Duminil-Copin, F. Severo and A. Teixeira.


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Christophe Garban
Tom Hutchcroft
Vincent Tassion

Laurin Köhler-Schindler

Pictures by:
 Adèle Ivain and Laurie Quétel