The uses of random partitions

The uses of random partitions
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随机分区的用途

DOI:
10.1142/9789812704016_0037
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发表时间:
2003
期刊:
arXiv: Mathematical Physics
影响因子:
--
通讯作者:
A. Okounkov
A. Okounkov
中科院分区:
--
文献类型:
--
作者:
A. Okounkov

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这些是我在2003年里斯本ICMP会议上演讲的延伸笔记。我们这里的目标是从许多不同的角度演示自然的和基本的随机分区。我们讨论了分区上的各种自然测度,它们的相关函数,极限形状,以及它们如何在应用中出现,特别是在Gromov-Witten和Seiberg-Witten理论中。
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.