Comptes Rendus
no. 4
Combinatoire, Théorie des probabilités
Dual Grothendieck polynomials via last-passage percolation
[Polynômes de Grothendieck duales par percolation de dernier passage]
Damir Yeliussizov1
1 Kazakh-British Technical University, 59 Tole bi st, Almaty 050000, Kazakhstan
Comptes Rendus. Mathématique, Volume 358 (2020) no. 4, pp. 497-503.

The ring of symmetric functions has a basis of dual Grothendieck polynomials that are inhomogeneous K-theoretic deformations of Schur polynomials. We prove that dual Grothendieck polynomials determine column distributions for a directed last-passage percolation model.

L’anneau de fonctions symétriques a une base de polynômes de Grothendieck duales qui sont des déformations K-théoriques non homogénes des polynômes de Schur. Nous prouvons que les polynômes de Grothendieck duales déterminent distributions des colonnes pour un modèle de percolation dirigée de dernier passage.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.67
Classification : 05E05, 60K35, 60C05

Damir Yeliussizov 1

1 Kazakh-British Technical University, 59 Tole bi st, Almaty 050000, Kazakhstan
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Damir Yeliussizov. Dual Grothendieck polynomials via last-passage percolation. Comptes Rendus. Mathématique, Volume 358 (2020) no. 4, pp. 497-503. doi : 10.5802/crmath.67. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.67/

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