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

  • Author(s): Its, Alexander R.
  • Tracy, Craig A.
  • Widom, Harold
  • et al.

Published Web Location

https://arxiv.org/pdf/nlin/0004018.pdf
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Abstract

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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