4 papers
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…
Non-Robustness of the Zero-Temperature-Limit Gibbs Measures to Perturbations of the Potential
Léo Gayral, Mathieu Sablik
The robustness of properties of a statistical physics model to slight perturbations in the exact local interactions of the model is a very relevant philosophical question, consider…
A perturbed cellular automaton with two phase transitions for the ergodicity
Hugo Marsan, Mathieu Sablik, Ilkka Törmä
The positive rates conjecture states that a one-dimensional probabilistic cellular automaton (PCA) with strictly positive transition rates must be ergodic. The conjecture has been…
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 object…