Random Words, Toeplitz Determinants and Integrable Systems. I

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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.
15 pages, no figures

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Combinatorics, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/79163

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9909169
 http://arxiv.org/abs/math/9909169
 Random Matrices and their Applications, eds. P. Bleher and A. Its, Cambridge University Press, New York, 2001, pgs. 245-258.

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arXiv