Infinite wedge and random partitions

被引：33
作者：
Okounkov A. [1 ]
机构：
[1] Department of Mathematics, University of California at Berkeley, Evans Hall 3840, Berkeley
来源：
Selecta Mathematica | 2001年 / 7卷 / 1期
基金：
美国国家科学基金会;
关键词：
Random partitions; Schur measure;
D O I：
10.1007/PL00001398
中图分类号：
学科分类号：
摘要：
We use representation theory to obtain a number of exact results for random partitions. In particular, we prove a simple determinantal formula for correlation functions of what we call the Schur measure on partitions (which is a far reaching generalization of the Plancherel measure; see [3], [8]) and also observe that these correlations functions are τ-functions for the Toda lattice hierarchy. We also give a new proof of the formula due to Bloch and the author [5] for the so-called n-point functions of the uniform measure on partitions and comment on the local structure of a typical partition. ©Birkhäuser Verlag, 2001.
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页码：57 / 81
页数：24
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