Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-02-16
J. Statist. Phys. 110 (2003), 1069-1086.
Physics
Condensed Matter
Statistical Mechanics
15 pages, LaTeX; several typos in Section 3 corrected
Scientific paper
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 $\infty$-friendly walkers. Our
proofs make use of results from symmetric function theory and the theory of
basic hypergeometric series.
Guttmann Anthony J.
Krattenthaler Christian
Viennot Xavier G.
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