random young diagrams
Recently Published Documents


TOTAL DOCUMENTS

8
(FIVE YEARS 0)

H-INDEX

3
(FIVE YEARS 0)

2013 ◽  
Vol DMTCS Proceedings vol. AS,... (Proceedings) ◽  
Author(s):  
Valentin Féray ◽  
Maciej Dołęga

International audience We consider a deformation of Kerov character polynomials, linked to Jack symmetric functions. It has been introduced recently by M. Lassalle, who formulated several conjectures on these objects, suggesting some underlying combinatorics. We give a partial result in this direction, showing that some quantities are polynomials in the Jack parameter $\alpha$ with prescribed degree. Our result has several interesting consequences in various directions. Firstly, we give a new proof of the fact that the coefficients of Jack polynomials expanded in the monomial or power-sum basis depend polynomially in $\alpha$. Secondly, we describe asymptotically the shape of random Young diagrams under some deformation of Plancherel measure.


2012 ◽  
Vol 12 (4) ◽  
pp. 719-745 ◽  
Author(s):  
Dan Beltoft ◽  
Cédric Boutillier ◽  
Nathanaël Enriquez

1999 ◽  
Vol 86 (2) ◽  
pp. 245-280 ◽  
Author(s):  
Nathan Lulov ◽  
Boris Pittel

Sign in / Sign up

Export Citation Format

Share Document