Birthday Inequalities, Repulsion, and Hard Spheres

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• Will Perkins, Birmingham Mathematics
• Thursday 11 February 2016, 13:45-15:00
• Theory Library.

If you have a question about this talk, please contact Mike Gunn.

The probability that in a room of n people (with randomly chosen birthdays) no two people share a birthday is bounded above by (1-1/365)^{n /choose 2}, what the probability would be if all pairwise interactions were independent. I call this the `Birthday Inequality’ and explore whether it generalizes to geometric settings. In particular, I’ll show how it can be used to bound the partition function of the hard sphere model and the hard-core lattice gas model from statistical physics, then propose that it may be useful in locating a phase transition in these models.

This talk is part of the Theoretical Physics Seminars series.

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• Bham Talks
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