Geodesic
On the Growth of Kronecker Coefficients
Séminaire lotharingien de combinatoire, 78B (2017) 
Emmanuel Briand; Amarpreet Rattan; Mercedes Rosas. On the Growth of Kronecker Coefficients. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a69/
@article{SLC_2017_78B_a69,
     author = {Emmanuel Briand and Amarpreet Rattan and Mercedes Rosas},
     title = {On the {Growth} of {Kronecker} {Coefficients}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2017},
     volume = {78B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a69/}
}
TY  - JOUR
AU  - Emmanuel Briand
AU  - Amarpreet Rattan
AU  - Mercedes Rosas
TI  - On the Growth of Kronecker Coefficients
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a69/
ID  - SLC_2017_78B_a69
ER  - 
%0 Journal Article
%A Emmanuel Briand
%A Amarpreet Rattan
%A Mercedes Rosas
%T On the Growth of Kronecker Coefficients
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a69/
%F SLC_2017_78B_a69

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We present a new stability phenomenon for Kronecker coefficients, that we call hook stability: the Kronecker coefficients stabilize if we add cells to the first row and first column of each of the indexing partitions, simultaneously. We also show that when we increase the sizes of the first two rows of their three indexing partitions, in some appropriate way, the Kronecker coefficients grow linearly, and we are able to give asymptotic estimates.