Articles dans des revues à comité de lecture
| Lattice animals on a staircase and Fibonacci numbers |
| Turban L. |
| Journal of Physics A: Mathematical and General 33 (2000) 2587 |
| DOI : 10.1088/0305-4470/33/13/311 |
| ArXiv : cond-mat/0011038 [PDF] |
| HAL : hal-00106387 |
We 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 Fk. |