Random Words, Toeplitz Determinants and Integrable Systems. I

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dc.creatorIts, Alexander R.
dc.creatorTracy, Craig A.
dc.creatorWidom, Harold
dc.date1999-09-28
dc.date.accessioned2026-07-07T05:30:56Z
dc.date.available2026-07-07T05:30:56Z
dc.descriptionIt 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.
dc.description15 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/9909169
dc.identifierhttp://arxiv.org/abs/math/9909169
dc.identifierRandom Matrices and their Applications, eds. P. Bleher and A. Its, Cambridge University Press, New York, 2001, pgs. 245-258.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79163
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleRandom Words, Toeplitz Determinants and Integrable Systems. I
dc.typetext

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