Vicious Walkers, Friendly Walkers, and Young Tableaux. III. Between Two Walls

被引：0
作者：
Christian Krattenthaler
Anthony J. Guttmann
Xavier G. Viennot
机构：
[1] Universität Wien,Institut für Mathematik
[2] Université Claude Bernard Lyon-I,Institut Gerard Desargues
[3] Bâtiment Braconnier,LaBRI
[4] Université,undefined
来源：
Journal of Statistical Physics | 2003年 / 110卷
关键词：
Vicious walkers; friendly walkers; symmetric functions; affine Weyl groups;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 corresponding results for the analogous problem of ∞-friendly walkers. Our proofs make use of results from symmetric function theory and the theory of basic hypergeometric series.
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页码：1069 / 1086
页数：17
相关论文
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