Polynomiality of shifted Plancherel averages and content evaluations

Abstract

The shifted Plancherel measure is a natural probability measure on strict partitions. We prove a polynomiality property for the averages of the shifted Plancherel measure. As an application, we give alternative proofs of some content evaluation formulas, obtained by Han and Xiong very recently. Our main tool is factorial Schur $Q$-functions.

23 pages

References in corpus (1)

• Gaussian fluctuations of Young diagrams and structure constants of Jack characters

Cited by in corpus (1)

• Asymptotics of Some Plancherel Averages via Polynomiality Results