Lattice animals on a staircase and Fibonacci numbers

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dc.creatorTurban, L.
dc.date2000-11-02
dc.date.accessioned2026-07-07T02:39:14Z
dc.date.available2026-07-07T02:39:14Z
dc.descriptionWe study the statistics of column-convex lattice animals resulting from the stacking of squares on a single or double staircase. We obtain exact expressions for the number of animals with a given length and area, their mean length and their mean height. These objects are closely related to Fibonacci numbers. On a single staircase, the total number of animals with area k is given by the Fibonacci number F_k.
dc.description11 pages, 2 figures, Plain TeX, IOP macros included
dc.identifierhttps://arxiv.org/abs/cond-mat/0011038
dc.identifierhttp://arxiv.org/abs/cond-mat/0011038
dc.identifierJ. Phys. A, 33 (2000) 2587
dc.identifierdoi:10.1088/0305-4470/33/13/311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16971
dc.subjectStatistical Mechanics
dc.titleLattice animals on a staircase and Fibonacci numbers
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