This material has been published in
J. Phys. A: Math. Gen. 33
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Vicious walkers, friendly walkers and Young tableaux II: With a wall
We derive new results for the number of star
and watermelon configurations of vicious walkers
in the presence of an impenetrable wall by showing
that these follow from standard results in the
theory of Young tableaux, and combinatorial descriptions
of symmetric functions. For the problem of n-friendly
walkers, we derive exact asymptotics for the number of
stars and watermelons both in the absence of a wall and in the
presence of a wall.
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