On surjectivity and dynamical properties of dill maps
Dynamical Systems
2025-06-03 v1 Discrete Mathematics
Abstract
In this paper, we study certain dynamical properties of dill maps, a class of functions introduced in~\cite{salo2015block} that generalizes both cellular automata and substitutions. In particular, we prove that surjective uniform dill maps are precisely the surjective cellular automata. We also establish a sufficient condition for a dill map to be equicontinuous.
Keywords
Cite
@article{arxiv.2506.00960,
title = {On surjectivity and dynamical properties of dill maps},
author = {Firas Ben Ramdhane},
journal= {arXiv preprint arXiv:2506.00960},
year = {2025}
}