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

Probability 2016-11-25 v2 Combinatorics

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.

Keywords

Cite

@article{arxiv.0901.4138,
  title  = {On the Limiting Shape of Young Tableaux Associated With Inhomogeneous Random Words},
  author = {Christian Houdré and Hua Xu},
  journal= {arXiv preprint arXiv:0901.4138},
  year   = {2016}
}

Comments

To Appear in HDP VI