Random Words, Toeplitz Determinants and Integrable Systems. II

Details Random Words, Toeplitz Determinants and Integrable Systems. II Random Words, Toeplitz Determinants and Integrable Systems. II

2000-04-10

arxiv.org/abs/nlin/0004018v2

Physica D 152-153 (2001), 199-224

Nonlinear Sciences

Exactly Solvable and Integrable Systems

The revised version corrects some misprints and adds some additional remarks

Scientific paper

10.1016/S0167-2789(01)00171-3

This paper, a continuation of math.CO/9909169, connects the analysis of the
length of the longest weakly increasing subsequence of inhomogeneous random
words to a Riemann-Hilbert problem and an associated system of integrable PDEs.
In particular, we show that the Poissonization of the distribution function of
this length can be identified as the Jimbo-Miwa-Ueno tau function.

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