Gaussian fluctuations of Jack-deformed random Young diagrams
Probability
2022-12-12 v2 Combinatorics
Representation Theory
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.
Keywords
Cite
@article{arxiv.1704.02352,
title = {Gaussian fluctuations of Jack-deformed random Young diagrams},
author = {Maciej Dołęga and Piotr Śniady},
journal= {arXiv preprint arXiv:1704.02352},
year = {2022}
}
Comments
43 pages. Version 2: the text has been rewritten