On the Limiting Shape of Young Tableaux Associated With Inhomogeneous Random Words
arXiv:0901.4138
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.
To Appear in HDP VI