%0 Journal Article
%T Generalized Energy Statistics and Kostka--Macdonald Polynomials
%A Anatol N. Kirillov
%A Reiho Sakamoto
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0912.2161v2