A dynamical property unique to the Lucas sequence
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 1999
- DOI:
- 10.48550/arXiv.math/9907015
- arXiv:
- arXiv:math/9907015
- Bibcode:
- 1999math......7015P
- Keywords:
-
- Number Theory;
- Dynamical Systems;
- 11B39;
- 58F20
- E-Print:
- 9 pages