On Convergence of Moments for Random Young Tableaux and a Random Growth Model

Details On Convergence of Moments for Random Young Tableaux and a Random Growth Model On Convergence of Moments for Random Young Tableaux and a Random Growth Model

2001-08-02

arxiv.org/abs/math/0108008v3

Mathematics

Combinatorics

LaTeX file, 8 pages. Later version includes growth model. Some changes in replacement

Scientific paper

In recent work of Baik, Deift and Rains convergence of moments was established for the limiting joint distribution of the lengths of the first k rows in random Young tableaux. The main difficulty was obtaining a good estimate for the tail of the distribution and this was accomplished through a highly nontrival Riemann-Hilbert analysis. Here we give a simpler derivation. The same method is used to establish convergence of moments for a random growth model.

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