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SUMMARY:Bootstrap percolation and kinetically constrained spin models: cri
 tical time scales - Cristina Toninelli (Dauphine)
DTSTART:20190205T140000Z
DTEND:20190205T150000Z
UID:TALK119026@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Recent years have seen a great deal of progress in understandi
 ng the behavior of bootstrap percolation models\, a particular class of mo
 notone cellular automata. In the two dimensional lattice there is now a qu
 ite complete understanding of their evolution starting from a random initi
 al condition\, with a universality picture for their critical behavior. Mu
 ch less is known for their non-monotone stochastic counterpart\, namely ki
 netically constrained models (KCM). In KCM each vertex is resampled (indep
 endently) at rate one by tossing a p-coin iff it can be infected in the ne
 xt step by the bootstrap model. In particular infection can also heal\, he
 nce the non-monotonicity. Besides the connection with bootstrap percolatio
 n\, KCM have an interest in their own : when p -> 0 they display some of t
 he most striking features of the liquid/glass transition\, a major and sti
 ll largely open problem in condensed matter physics. \nI will discuss some
  recent results on the characteristic time scales of KCM as p -> 0 and the
  connection with the critical behavior of the corresponding bootstrap mode
 ls.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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