Department of Mathematics
Random Words, Toeplitz Determinants and Integrable Systems. II
- Author(s): Its, Alexander R.
- Tracy, Craig A.
- Widom, Harold
- et al.
Published Web Locationhttps://arxiv.org/pdf/nlin/0004018.pdf
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.