Lattice animals on a staircase and Fibonacci numbers

Details Lattice animals on a staircase and Fibonacci numbers Lattice animals on a staircase and Fibonacci numbers

2000-11-02

arxiv.org/abs/cond-mat/0011038v1

J. Phys. A, 33 (2000) 2587

Physics

Condensed Matter

Statistical Mechanics

11 pages, 2 figures, Plain TeX, IOP macros included

Scientific paper

10.1088/0305-4470/33/13/311

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 F_k.

Affiliated with

Also associated with

No associations

Rating

Lattice animals on a staircase and Fibonacci numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lattice animals on a staircase and Fibonacci numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lattice animals on a staircase and Fibonacci numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452929