L’anneau de fonctions symétriques a une base de polynômes de Grothendieck duales qui sont des déformations -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.
The ring of symmetric functions has a basis of dual Grothendieck polynomials that are inhomogeneous -theoretic deformations of Schur polynomials. We prove that dual Grothendieck polynomials determine column distributions for a directed last-passage percolation model.
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Damir Yeliussizov 1
@article{CRMATH_2020__358_4_497_0, author = {Damir Yeliussizov}, title = {Dual {Grothendieck} polynomials via last-passage percolation}, journal = {Comptes Rendus. Math\'ematique}, pages = {497--503}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {4}, year = {2020}, doi = {10.5802/crmath.67}, language = {en}, }
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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