18 citations · 52 across the 18 of their papers we have counts for
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math.DS2009
Hitting time in regular sets and logarithm law for rapidly mixing dynamical systems
Stefano Galatolo
We prove that if a system has superpolynomial (faster than any power law) decay of correlations (with respect to Lipschitz observables) then the time needed for a typi…
math.DS2009★ 1 cited
Dynamics and abstract computability: computing invariant measures
Stefano Galatolo, Mathieu Hoyrup, Cristobal Rojas
We consider the question of computing invariant measures from an abstract point of view. We work in a general framework (computable metric spaces, computable measures and functions…
math.DS2009★ 14 cited
Lorenz like flows: exponential decay of correlations for the Poincaré map, logarithm law, quantitative recurrence
S. Galatolo, M. J. Pacifico
In this paper we prove that the Poincaré map associated to a Lorenz like flow has exponential decay of correlations with respect to Lipschitz observables. This implies that the hit…