34 citations · 73 across the 20 of their papers we have counts for
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math.DS2014
Rigorous approximation of diffusion coefficients for expanding maps
Wael Bahsoun, Stefano Galatolo, Isaia Nisoli +1
We use Ulam's method to provide rigorous approximation of diffusion coefficients for uniformly expanding maps. An algorithm is provided and its implementation is illustrated using…
math.DS2014
An elementary way to rigorously estimate convergence to equilibrium and escape rates
Stefano Galatolo, Isaia Nisoli, Benoît Saussol
We show an elementary method to have (finite time and asymptotic) computer assisted explicit upper bounds on convergence to equilibrium (decay of correlations) and escape rate for…
math.DS2014
Rigorous computation of invariant measures and fractal dimension for piecewise hyperbolic maps: 2D Lorenz like maps
Stefano Galatolo, Isaia Nisoli
We consider a class of piecewise hyperbolic maps from the unit square to itself preserving a contracting foliation and inducing a piecewise expanding quotient map, with infinite de…