Aymeric Picard Marchetto

collaborators

3 papers

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…

cs.DM2024

Asynchronous dynamics of isomorphic Boolean networks

Florian Bridoux, Aymeric Picard Marchetto, Adrien Richard

A Boolean network is a function $f : {0, 1}^{n} \to {0, 1}^{n}$ from which several dynamics can be derived, depending on the context. The most classical ones are the synchronous and asyn…

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…