Aymeric Picard Marchetto

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20212024

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math.CO2024

Interaction graphs of isomorphic automata networks II: universal dynamics

Florian Bridoux, Aymeric Picard Marchetto, Adrien Richard

An automata network with $n$ components over a finite alphabet $Q$ of size $q$ is a discrete dynamical system described by the successive iterations of a function $f : Q^{n} \to Q^{n}$ . I…

math.CO2023

Interaction graphs of isomorphic automata networks I: complete digraph and minimum in-degree

Florian Bridoux, Kévin Perrot, Aymeric Picard Marchetto +1

An automata network with $n$ components over a finite alphabet $Q$ of size $q$ is a discrete dynamical system described by the successive iterations of a function $f : Q^{n} \to Q^{n}$ . I…

math.CO2021

Isomorphic Boolean networks and dense interaction graphs

Aymeric Picard Marchetto, Adrien Richard

A Boolean network (BN) with $n$ components is a discrete dynamical system described by the successive iterations of a function $f : {0, 1}^{n} \to {0, 1}^{n}$ . In most applications, the…