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SUMMARY:Towards universality in bootstrap percolation - Paul Smith (Univer
 sity of Cambridge)
DTSTART:20160711T124500Z
DTEND:20160711T133000Z
UID:TALK66700@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Bootstrap percolation is a broad class of monotone cellular au
 tomata\, which has links to the Glauber dynamics of the Ising model and ot
 her areas of statistical physics. Starting with random initial conditions\
 , the question is to determine the threshold for complete occupation of th
 e underlying graph. Until relatively recently\, only nearest-neighbour mod
 els (and relatively minor variants of these models) had been studied -- an
 d these are now very well understood. In this talk I will discuss a new `u
 niversality&#39\; theory for bootstrap percolation\, which has emerged in 
 the last few years. In particular\, I will explain the classification of t
 wo-dimensional models\, give more precise results for so-called `critical&
 #39\; models (also in two dimensions)\, and talk about a new classificatio
 n theorem for higher dimensional models.<br>
LOCATION:Seminar Room 1\, Newton Institute
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