Citation
Ar. Its et al., Random words, Toeplitz determinants and integrable systems: II, PHYSICA D, 152, 2001, pp. 199-224
Citations number
33
Categorie Soggetti
Physics
Journal title
PHYSICA D
ISSN journal
01672789
→ ACNP
Volume
152
Year of publication
2001
Pages
199 - 224
Database
ISI
SICI code
0167-2789(20010515)152:<199:RWTDAI>2.0.ZU;2-F
Abstract
This paper connects the analysis of the length of the longest weakly increa
sing subsequence of inhomogeneous random words to a Riemnn-Hilbert problem
and an associated system of integrable partial differential equations. In p
articular, we show that the Poissonization of the distribution function of
this length can be identified as the Jimbo-Miwa-Ueno tau function. (C) 2001
Elsevier Science B.V. All rights reserved.