Random Words, Toeplitz Determinants and Integrable Systems. I
组合数学
2007-05-23 v1 数学物理
math.MP
可精确求解与可积系统
solv-int
摘要
It is proved that the limiting distribution of the length of the longest weakly increasing subsequence in an inhomogeneous random word is related to the distribution function for the eigenvalues of a certain direct sum of Gaussian unitary ensembles subject to an overall constraint that the eigenvalues lie in a hyperplane.
引用
@article{arxiv.math/9909169,
title = {Random Words, Toeplitz Determinants and Integrable Systems. I},
author = {Alexander R. Its and Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:math/9909169},
year = {2007}
}
备注
15 pages, no figures