Riemann-Hilbert problems for last passage percolation

Details Riemann-Hilbert problems for last passage percolation Riemann-Hilbert problems for last passage percolation

2001-07-10

arxiv.org/abs/math/0107079v1

Mathematics

Probability

24 pages, 3 figures, AMS-LaTex

Scientific paper

Last three years have seen new developments in the theory of last passage percolation, which has variety applications to random permutations, random growth and random vicious walks. It turns out that a few class of models have determinant formulas for the probability distribution, which can be analyzed asymptotically. One of the tools for the asymptotic analysis has been the Riemann-Hilbert method. In this paper, we survey the use of Riemann-Hilbert method in the last passage percolation problems.

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