A dynamical property unique to the Lucas sequence
Number Theory
2007-05-23 v1 Dynamical Systems
Abstract
The only recurrence sequence satisfying the Fibonacci recurrence and realizable as the number of periodic points of a map is (a multiple of) the Lucas sequence.
Cite
@article{arxiv.math/9907015,
title = {A dynamical property unique to the Lucas sequence},
author = {Y. Puri and T. Ward},
journal= {arXiv preprint arXiv:math/9907015},
year = {2007}
}
Comments
9 pages