Bootstrap percolation in two dimensions: recent progress and open problems

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• Rob Morris (IMPA)
• Thursday 29 April 2010, 14:30-15:30
• MR12.

If you have a question about this talk, please contact Andrew Thomason.

In this talk I shall describe two very recent developments in the study of bootstrap percolation in two dimensions: the sharp bounds proved by Duminil-Copin and Holroyd for a very large class of (local) update rules, and the much sharper bounds proved for the nearest-neighbour rule by Gravner, Holroyd and myself. I shall discuss how these results could be further generalized, and give several open problems.

This talk is part of the Combinatorics Seminar series.

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