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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.PR2024
Strong stochastic stability of cellular automata
Hugo Marsan, Mathieu Sablik
We define the notion of stochastic stability, already present in the literature in the context of smooth dynamical systems, for invariant measures of cellular automata perturbed by…