Geodesic
Stammering tableaux
Discrete mathematics & theoretical computer science, Tome 19 (2017-2018) no. 3.

Voir la notice de l'article provenant de la source Episciences

The PASEP (Partially Asymmetric Simple Exclusion Process) is a probabilistic model of moving particles, which is of great interest in combinatorics, since it appeared that its partition function counts some tableaux. These tableaux have several variants such as permutations tableaux, alternative tableaux, tree- like tableaux, Dyck tableaux, etc. We introduce in this context certain excursions in Young's lattice, that we call stammering tableaux (by analogy with oscillating tableaux, vacillating tableaux, hesitating tableaux). Some natural bijections make a link with rook placements in a double staircase, chains of Dyck paths obtained by successive addition of ribbons, Laguerre histories, Dyck tableaux, etc. 
@article{DMTCS_2017_19_3_a1,
     author = {Josuat-Verg\`es, Matthieu},
     title = {Stammering tableaux},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {2017-2018},
     doi = {10.23638/DMTCS-19-3-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-3-3/}
}
TY  - JOUR
AU  - Josuat-Vergès, Matthieu
TI  - Stammering tableaux
JO  - Discrete mathematics & theoretical computer science
PY  - 2017-2018
VL  - 19
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-3-3/
DO  - 10.23638/DMTCS-19-3-3
LA  - en
ID  - DMTCS_2017_19_3_a1
ER  - 
%0 Journal Article
%A Josuat-Vergès, Matthieu
%T Stammering tableaux
%J Discrete mathematics & theoretical computer science
%D 2017-2018
%V 19
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-3-3/
%R 10.23638/DMTCS-19-3-3
%G en
%F DMTCS_2017_19_3_a1
Josuat-Vergès, Matthieu. Stammering tableaux. Discrete mathematics & theoretical computer science, Tome 19 (2017-2018) no. 3. doi : 10.23638/DMTCS-19-3-3. http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-3-3/

Cité par Sources :