Mathieu Sablik

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math.DS2025

Flexibility versus genericity of phase diagrams of perturbed continuous maps on the Cantor set

Hugo Marsan, Mathieu Sablik

Consider the dynamical system constitued by a continuous function $F : A^{N} \to A^{N}$ where $A$ is a finite alphabet. The perturbed counte…

math.DS2024

Characterization of the set of zero-noise limits measures of perturbed cellular automata

Hugo Marsan, Mathieu Sablik

We add small random perturbations to a cellular automaton and consider the one-parameter family $(F_{I^} µ)_{I^µ > 0}$ parameterized by $I^µ$ where $I^µ > 0$ is the level of noise. The object…