scholarly journals Effect of microscopic pausing time distributions on the dynamical limit shapes for random Young diagrams

2020 ◽  
Vol 25 (0) ◽  
Author(s):  
Akihito Hora
Keyword(s):  
Young Diagrams ◽  
Limit Shapes ◽  
Random Young Diagrams

scholarly journals Integer partitions and exclusion statistics: limit shapes and the largest parts of Young diagrams

2007 ◽  
Vol 2007 (10) ◽  
pp. P10001-P10001 ◽  
Author(s):  
Alain Comtet ◽  
Satya N Majumdar ◽  
Stéphane Ouvry ◽  
Sanjib Sabhapandit
Keyword(s):  
Integer Partitions ◽  
Young Diagrams ◽  
Limit Shapes

scholarly journals On the Random Young Diagrams and Their Cores

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

scholarly journals On Kerov polynomials for Jack characters (extended abstract)

2013 ◽  
Vol DMTCS Proceedings vol. AS,... (Proceedings) ◽  
Author(s):  
Valentin Féray ◽  
Maciej Dołęga
Keyword(s):  
Symmetric Functions ◽  
Partial Result ◽  
Plancherel Measure ◽  
Jack Polynomials ◽  
Young Diagrams ◽  
Power Sum ◽  
International Audience ◽  
Random Young Diagrams

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.

scholarly journals Random Young Diagrams in a Rectangular Box

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