This material has been published in
J.
Statist. Phys.
110 (2003), 1069-1086,
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Vicious walkers, friendly walkers and Young tableaux III: between two walls
(13 pages)
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 $\infty$-friendly walkers. Our proofs make use of
results from
symmetric function theory and the theory of basic hypergeometric series.
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