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