• Title of article

    Random words, Toeplitz determinants and integrable systems: II

  • Author/Authors

    Its، نويسنده , , Alexander R. and Tracy، نويسنده , , Craig A. and Widom، نويسنده , , Harold، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    26
  • From page
    199
  • To page
    224
  • Abstract
    This paper connects the analysis of the length of the longest weakly increasing subsequence of inhomogeneous random words to a Riemnn-Hilbert problem and an associated system of integrable partial differential equations. In particular, we show that the Poissonization of the distribution function of this length can be identified as the Jimbo-Miwa-Ueno tau function.
  • Journal title
    Physica D Nonlinear Phenomena
  • Serial Year
    2001
  • Journal title
    Physica D Nonlinear Phenomena
  • Record number

    1727212