3 papers
math.DS2026
Distributional results for the shortest distance between trajectories of different dynamics
Romain Aimino, Théophile Caby, Jorge Milhazes Freitas +1
We establish Extreme Value Distributions for the closest encounter between trajectories generated by different maps defined in the same reference phase space. For a class of strong…
math.DS2018
Large deviations for dynamical systems with stretched exponential decay of correlations
Romain Aimino, Jorge Milhazes Freitas
We obtain large deviations estimates for systems with stretched exponential decay of correlations, which improve the ones obtained in \cite{AFLV11}. As a consequence we obtain bett…
math.PR2018
Deterministic walks in random environment
Romain Aimino, Carlangelo Liverani
Motivated by the random Lorentz gas, we study deterministic walks in random environment and show that (in simple, yet relevant, cases) they can be reduced to a class of random walk…