Fibonacci-like sequences and shift spaces in symbolic dynamics
Dynamical Systems
2007-09-03 v1
Abstract
We afford the problem of counting the blocks of a given length made with symbols drawn from an alphabet and relate this number to Fibonacci-like recurrent relations. The recurrence polynomia allows to calculate the limit ratio of two adjacent terms and this information is used to determine the topological entropy of a discrete numbers of associate shift spaces. We then describe a scheme to build a shift space with a pre-selected entropy.
Cite
@article{arxiv.0708.4370,
title = {Fibonacci-like sequences and shift spaces in symbolic dynamics},
author = {R. Tonelli},
journal= {arXiv preprint arXiv:0708.4370},
year = {2007}
}