Vicious walkers, friendly walkers and Young tableaux III: Between two walls

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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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.

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