Lattice animals on a staircase and generalized Fibonacci numbers

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dc.creatorTurban, L.
dc.date2001-06-28
dc.date2006-10-19
dc.date.accessioned2026-07-07T06:34:41Z
dc.date.available2026-07-07T06:34:41Z
dc.descriptionWe study the statistics of column-convex lattice animals generated by the stacking of squares on a staircase with step height p. We calculate the number of animals with area k living on l stairs. The total number of animals with area k is given by the generalized Fibonacci number F_p(k). Exact results for the mean length and mean height of animals with area k are also obtained and we examine their asymptotic behaviour.
dc.description10 pages, 1 figure, LaTeX2e, epsf+Elsevier macro, minor correction
dc.identifierhttps://arxiv.org/abs/cond-mat/0106595
dc.identifierhttp://arxiv.org/abs/cond-mat/0106595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99601
dc.subjectStatistical Mechanics
dc.titleLattice animals on a staircase and generalized Fibonacci numbers
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