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arXiv · 1704.02352

Gaussian fluctuations of Jack-deformed random Young diagrams

Maciej Dołęga·Piotr Śniady
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Abstract

We introduce a large class of random Young diagrams which can be regarded as a natural one-parameter deformation of some classical Young diagram ensembles; a deformation which is related to Jack polynomials and Jack characters. We show that each such a random Young diagram converges asymptotically to some limit shape and that the fluctuations around the limit are asymptotically Gaussian.

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Maciej Dołęga, Piotr Śniady. 2018-05-15. Gaussian fluctuations of Jack-deformed random Young diagrams. https://doi.org/10.1007/s00440-018-0854-9

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