Vicious walkers, friendly walkers and Young tableaux II: With a wall

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dc.creatorKrattenthaler, Christian
dc.creatorGuttmann, Anthony J.
dc.creatorViennot, Xavier G.
dc.date2000-06-23
dc.date2000-11-07
dc.date.accessioned2026-07-07T10:51:36Z
dc.date.available2026-07-07T10:51:36Z
dc.descriptionWe 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.
dc.description35 pages, AmS-LaTeX; Definitions of n-friendly walkers clarified; the statement of Theorem 4 and its proof were corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/0006367
dc.identifierhttp://arxiv.org/abs/cond-mat/0006367
dc.identifierJ.Phys.A33:8835-8866,2000
dc.identifierdoi:10.1088/0305-4470/33/48/318
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184873
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.subject17B20 (Primary) 05A15 05E05 05E10 82B20 82B23 (Secondary)
dc.titleVicious walkers, friendly walkers and Young tableaux II: With a wall
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