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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 where 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 parameterized by where is the level of noise. The objective…
math.DS2023
On the algorithmic descriptive complexity of attractors in topological dynamics
Cristobal Rojas, Mathieu Sablik
We study the computational problem of rigorously describing the asymptotic behaviour of topological dynamical systems up to a finite but arbitrarily small pre-specified error. More…