Asymptotics of q-plancherel measures

@article{Feray2010AsymptoticsOQ,
  title={Asymptotics of q-plancherel measures},
  author={Valentin Feray and Pierre-Lo{\"i}c M{\'e}liot},
  journal={Probability Theory and Related Fields},
  year={2010},
  volume={152},
  pages={589-624}
}
  • Valentin Feray, Pierre-Loïc Méliot
  • Published 2010
  • Mathematics
  • Probability Theory and Related Fields
  • In this paper, we are interested in the asymptotic size of the rows and columns of a random Young diagram under a natural deformation of the Plancherel measure coming from Hecke algebras. The first lines of such diagrams are typically of order n, so it does not fit in the context of the work of Biane (Int Math Res Notices 4:179–192, 2001) and Śniady (Probab. Theory Relat Fields 136:263–297, 2006). Using the theory of polynomial functions on Young diagrams of Kerov and Olshanski, we are able to… CONTINUE READING

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