Dynamics on random graphs and random maps / Dynamiques sur graphes et cartes aléatoires

Collection Dynamics on random graphs and random maps / Dynamiques sur graphes et cartes aléatoires

Organizer(s) Ménard, Laurent ; Nolin, Pierre ; Schapira, Bruno ; Singh, Arvind

Date(s) 23/10/2017 - 27/10/2017

linked URL http://conferences.cirm-math.fr/1672.html

00:00:00 / 00:00:00

5 5

Frozen and near-critical percolation

By Jacob van den Berg

Motivated by solgel transitions, David Aldous (2000) introduced and analysed a fascinating dynamic percolation model on a tree where clusters stop growing ('freeze') as soon as they become infinite. In this talk I will discuss recent (and ongoing) work, with Demeter Kiss and Pierre Nolin, on processes of similar flavour on planar lattices. We focus on the problem whether or not the giant (i.e. 'frozen') clusters occupy a negligible fraction of space. Accurate results for near-critical percolation play an important role in the solution of this problem. I will also present a version of the model which can be interpreted as a sensor/communication network.

Information about the video

Date of recording 25/10/2017
Date of publication 26/10/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19230203
Cite this video van den Berg, Jacob (25/10/2017). Frozen and near-critical percolation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19230203
URL https://dx.doi.org/10.24350/CIRM.V.19230203

Domain(s)

Probability

Bibliography

van den Berg, J., & Nolin, P. (2017). Two-dimensional volume-frozen percolation: exceptional scales. The Annals of Applied Probability, 27(1), 91-108 - http://dx.doi.org/10.1214/16-AAP1198

MSC codes

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