Vicious walkers, friendly walkers and Young tableaux III: Between two walls
Statistical Mechanics
2007-05-23 v2 Combinatorics
Abstract
We derive exact and asymptotic results for the number of star and watermelon configurations of vicious walkers confined to lie between two impenetrable walls, as well as for the analogous problem for -friendly walkers. Our proofs make use of results from symmetric function theory and the theory of basic hypergeometric series.
Cite
@article{arxiv.cond-mat/0202276,
title = {Vicious walkers, friendly walkers and Young tableaux III: Between two walls},
author = {Christian Krattenthaler and Anthony J. Guttmann and Xavier G. Viennot},
journal= {arXiv preprint arXiv:cond-mat/0202276},
year = {2007}
}
Comments
15 pages, LaTeX; several typos in Section 3 corrected