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arXiv · 2506.00960

On surjectivity and dynamical properties of dill maps

Firas Ben Ramdhane
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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.

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Firas Ben Ramdhane. 2025-06-01. On surjectivity and dynamical properties of dill maps. https://arxiv.org/abs/2506.00960

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