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SUMMARY:Forest fires and coagulation-deletion processes - Martin\, JB (Uni
 versity of Oxford)
DTSTART:20130815T133000Z
DTEND:20130815T141500Z
UID:TALK46652@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Consider the following extension of the Erdos-Renyi random gra
 ph process\; in a graph on $n$ vertices\, each edge arrives at rate 1\, bu
 t also each vertex is struck by lightning at rate $lambda$\, in which case
  all the edges in its connected component are removed. Such a "mean-field 
 forest fire" model was introduced by Rath and Toth. For appropriate ranges
  of $lambda$\, the model exhibits self-organised criticality. We investiga
 te scaling limits\, involving a multiplicative coalescent with an added "d
 eletion" mechanism. I'll mention a few other related models\, including ep
 idemic models and "frozen percolation" processes.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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