The uses of random partitions

Details The uses of random partitions The uses of random partitions

2003-09-04

arxiv.org/abs/math-ph/0309015v1

Physics

Mathematical Physics

36 pages, 10 figures

Scientific paper

These are extended notes for my talk at the ICMP 2003 in Lisbon. Our goal
here is to demonstrate how natural and fundamental random partitions are from
many different points of view. We discuss various natural measures on
partitions, their correlation functions, limit shapes, and how they arise in
applications, in particular, in the Gromov-Witten and Seiberg-Witten theory.

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