Birthday Inequalities, Hard Spheres, and Independent Sets

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• Will Perkins (University of Birmingham)
• Thursday 30 April 2015, 14:30-15:30
• MR12.

If you have a question about this talk, please contact Andrew Thomason.

I will discuss two related models from statistical physics: the 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 lattice. 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 surprising fact about spheres in 24 dimensions.

This talk is part of the Combinatorics Seminar series.

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