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SUMMARY:Universality for critical cellular automata in d dimensions - Paul
  Smith (University of Cambridge)
DTSTART:20141016T133000Z
DTEND:20141016T143000Z
UID:TALK55195@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:Cellular automata are interacting particle systems whose updat
 e rules are 'local' (the state of a particle depends only on its neighbour
 s) and 'homogeneous' (the same rule applies to every particle). Despite mu
 ch effort over the last fifty years\, a general theory of cellular automat
 a still seems very far out of reach. In this talk I shall discuss the late
 st in a new series of work on a particular (fairly large) class of cellula
 r automata: those that are 'monotone' and 'd-dimensional'. We now have a r
 easonably good understanding of the\nlong-term behaviour of such models in
  two dimensions\, starting from a random initial configuration. In higher 
 dimensions we can (so far) say much less\, but already there are hints of 
 a rich 'universality' theory.\n
LOCATION:MR12
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