The uses of random partitions
Mathematical Physics
2007-05-23 v1 Algebraic Geometry
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0309015,
title = {The uses of random partitions},
author = {Andrei Okounkov},
journal= {arXiv preprint arXiv:math-ph/0309015},
year = {2007}
}
Comments
36 pages, 10 figures