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SUMMARY:Sandpiles\, Staircases and Self-organized criticality - Anne Fey\,
  Eindehoven
DTSTART:20091027T163000Z
DTEND:20091027T173000Z
UID:TALK19782@talks.cam.ac.uk
CONTACT:Berestycki
DESCRIPTION:In the fixed-energy sandpile model\, `activity density' jumps 
 are observed as the particle density increases\, in some cases even seemin
 g to form a devil's staircase. After presenting new results on this topic\
 , we will focus on the first jump\, from zero to nonzero activity density.
  The particle density where this transition takes place\, plays a role in 
 a popular heuristic argument to explain self-organized criticality in sand
 pile models: it is argued that another\, differently defined particle dens
 ity is in fact the same. This conjecture was supported by simulations and 
 generally believed to be true. However\, we can now for several cases exac
 tly calculate both densities\, giving very close\, but unequal values. (jo
 int work with Lionel Levine and David Wilson) 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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