Luguis de los Santos Baños

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20202026

most citedMean equicontinuity and mean sensitivity on cellular automata

3 citations · 6 across the 6 of their papers we have counts for

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math.DS2026

Topological Dynamics of Pullback Maps on Full Shifts

Alonso Castillo-Ramirez, Luguis De Los Santos Baños

Let $G$ be a group, let $A$ be a finite alphabet, and let $ϕ : G \to G$ be an endomorphism. We study the topological dynamics of the pullback map $ϕ^{*} : A^{G} \to A^{G}$ , given by $ϕ^*(…

math.DS2021★ 1 cited

Local non-periodic order and diam-mean equicontinuity on cellular automata

Luguis de los Santos Baños, Felipe García-Ramos

Diam-mean equicontinuity is a dynamical property that has been of use in the study of non-periodic order. Using some type of "local" skew product between a shift and an odometer lo…

math.DS2020★ 3 cited

Mean equicontinuity and mean sensitivity on cellular automata

Luguis de los Santos Baños, Felipe García-Ramos

We show that a cellular automaton (or shift-endomorphism) on a transitive subshift is either almost equicontinuous or sensitive. On the other hand, we construct a cellular automato…