Articles dans des revues à comité de lecture
|Lattice animals on a staircase and Fibonacci numbers|
|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.