The number of lattice paths below a cyclically shifting boundary

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dc.creatorIrving, J.
dc.creatorRattan, A.
dc.date2007-12-19
dc.date.accessioned2026-07-07T08:50:22Z
dc.date.available2026-07-07T08:50:22Z
dc.descriptionWe count the number of lattice paths lying under a cyclically shifting piecewise linear boundary of varying slope. Our main result extends well known enumerative formulae concerning lattice paths, and its derivation involves a classical reflection argument. A refinement allows for the counting of paths with a specified number of corners. We also apply the result to examine paths dominated by periodic boundaries.
dc.description20 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/0712.3213
dc.identifierhttp://arxiv.org/abs/0712.3213
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144583
dc.subjectCombinatorics
dc.subject05A15
dc.titleThe number of lattice paths below a cyclically shifting boundary
dc.typetext

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