Iteration of Exponentials with Sign Changes
Dynamical Systems
2024-07-23 v1
Abstract
In this paper we consider the iteration of infinitely many signed exponentials with the same base but the signs may vary. We show that for every base in an explicit interval this iteration converges for any sequence of signs and all the real numbers are possible limits. We give some more results for a base outside this interval.
Keywords
Cite
@article{arxiv.2407.15210,
title = {Iteration of Exponentials with Sign Changes},
author = {Pierre Mazet and Emmanuel Halberstadt},
journal= {arXiv preprint arXiv:2407.15210},
year = {2024}
}
Comments
12 pages