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SUMMARY:Birthday Inequalities\, Hard Spheres\, and Independent Sets - Will
  Perkins (University of Birmingham)
DTSTART:20150430T133000Z
DTEND:20150430T143000Z
UID:TALK57497@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:I will discuss two related models from statistical physics: th
 e hard sphere model of random non-overlapping spheres in Euclidean space\,
  and the hard core model of a random independent set in the d-dimensional 
 integer\nlattice.  I will present a new method for bounding the partition 
 function in both models\, and as applications show bounds on the number of
  independent sets of a given size in d-regular graphs and show a surprisin
 g fact about spheres in 24 dimensions.\n
LOCATION:MR12
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