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

Details On the Limiting Shape of Random Young Tableaux Associated to Inhomogeneous Words On the Limiting Shape of Random Young Tableaux Associated to Inhomogeneous Words

2009-01-26

arxiv.org/abs/0901.4138v1

Mathematics

Probability

Scientific paper

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

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