Nonintersecting lattice paths on the cylinder

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dc.creatorFulmek, Markus
dc.date2003-11-19
dc.date2004-02-18
dc.date.accessioned2026-07-07T05:03:03Z
dc.date.available2026-07-07T05:03:03Z
dc.descriptionWe show how a formula concerning ``vicious walkers'' (which basically are nonintersecting lattice paths) on the cylinder given by P.J. Forrester can be proved and generalized by using the Lindström--Gessel--Viennot method, after having things set up in the right way. We apply the corresponding results to the (thermodynamic limit of the) free energy of the ``lock step model of vicious walkers'', thus completing (and in one instance correcting) the work of Forrester . Moreover, we also show how a related formula given by I. Gessel and C. Krattenthaler can be obtained from the same ``point of view''.
dc.descriptionminor corrections
dc.identifierhttps://arxiv.org/abs/math/0311331
dc.identifierhttp://arxiv.org/abs/math/0311331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69258
dc.subjectCombinatorics
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subject05A15; 05A16
dc.titleNonintersecting lattice paths on the cylinder
dc.typetext

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