Geodesic
Generalized Energy Statistics and Kostka―Macdonald Polynomials
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010).

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

We give an interpretation of the $t=1$ specialization of the modified Macdonald polynomial as a generating function of the energy statistics defined on the set of paths arising in the context of Box-Ball Systems (BBS-paths for short). We also introduce one parameter generalizations of the energy statistics on the set of BBS-paths which all, conjecturally, have the same distribution. 
@article{DMTCS_2010_special_259_a49,
     author = {Kirillov, Anatol N. and Sakamoto, Reiho},
     title = {Generalized {Energy} {Statistics} and {Kostka{\textemdash}Macdonald} {Polynomials}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)},
     year = {2010},
     doi = {10.46298/dmtcs.2854},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2854/}
}
TY  - JOUR
AU  - Kirillov, Anatol N.
AU  - Sakamoto, Reiho
TI  - Generalized Energy Statistics and Kostka―Macdonald Polynomials
JO  - Discrete mathematics & theoretical computer science
PY  - 2010
VL  - DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2854/
DO  - 10.46298/dmtcs.2854
LA  - en
ID  - DMTCS_2010_special_259_a49
ER  - 
%0 Journal Article
%A Kirillov, Anatol N.
%A Sakamoto, Reiho
%T Generalized Energy Statistics and Kostka―Macdonald Polynomials
%J Discrete mathematics & theoretical computer science
%D 2010
%V DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2854/
%R 10.46298/dmtcs.2854
%G en
%F DMTCS_2010_special_259_a49
Kirillov, Anatol N.; Sakamoto, Reiho. Generalized Energy Statistics and Kostka―Macdonald Polynomials. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) (2010). doi : 10.46298/dmtcs.2854. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2854/

Cité par Sources :