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Frozen percolation

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Motivated by certain phenomena related to sol-gel transitions, David Aldous (2000) introduced and analysed a percolation model where infinite clusters are ‘frozen’. Soon after his work, Benjaminin and Schramm pointed out that such a process does not exist on the square lattice (and other planar lattices). After an introduction I will give an overview of results and ongoing work (with Demeter Kiss and Pierre Nolin) on processes which, intuitively, are asymptotically of the same flavour and which do exist on planar lattices.

This talk is part of the Probability series.

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