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Schedule
Next guest(s) of the group
- May : Ernesto Medina for 2 week(s)
- June : Ferenc Iglói for 1 month(s)
- June : Francisco Sastre for 2 month(s)
Last paper
| Lattice animals on a staircase and generalized Fibonacci numbers |
| Turban L. |
| ArXiv : cond-mat/0106595 [PDF] |
We 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. |