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arXiv · 0901.4138

On the Limiting Shape of Young Tableaux Associated With Inhomogeneous Random Words

Christian Houdré·Hua Xu
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Abstract

The limiting shape of the random Young diagrams associated with an inhomogeneous random word is identified as a multidimensional Brownian functional. This functional is identical in law to the spectrum of a random matrix. The Poissonized word problem is also briefy studied, and the asymptotic behavior of the shape analyzed.

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Christian Houdré, Hua Xu. 2009-01-26. On the Limiting Shape of Young Tableaux Associated With Inhomogeneous Random Words. https://arxiv.org/abs/0901.4138

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