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arXiv · 0912.2161

Generalized Energy Statistics and Kostka--Macdonald Polynomials

Anatol N. Kirillov·Reiho Sakamoto
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Abstract

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.

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BibTeXRIS

Anatol N. Kirillov, Reiho Sakamoto. 2010-04-24. Generalized Energy Statistics and Kostka--Macdonald Polynomials. https://arxiv.org/abs/0912.2161

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