191 citations · 891 across the 55 of their papers we have counts for
6 papers · 1 filter
Correlation dimension and phase space contraction via extreme value theory
Davide Faranda, Sandro Vaienti
This study uses the link between extreme value laws and dynamical systems theory to show that important dynamical quantities as the correlation dimension, the entropy and the Lyapu…
Anomalous transport and observable average in the standard map
Lydia Bouchara, Ouerdia Ourrad, Sandro Vaienti +1
The distribution of finite time observable averages and transport in low dimensional Hamiltonian systems is studied. Finite time observable average distributions are computed, from…
Errors, Correlations and Fidelity for noisy Hamilton flows. Theory and numerical examples
Giorgio Turchetti, Stefano Sinigardi, Graziano Servizi +2
We analyse the asymptotic growth of the error for Hamiltonian flows due to small random perturbations. We compare the forward error with the reversibility error, showing their equi…
Sampling local properties of attractors via Extreme Value Theory
Davide Faranda, Jorge Milhazes Freitas, Pierre Guiraud +1
We provide formulas to compute the coefficients entering the affine scaling needed to get a non-degenerate function for the asymptotic distribution of the maxima of some kind of ob…
Mixing properties in the advection of passive tracers via recurrences and extreme value theory
Davide Faranda, Xavier Leoncini, Sandro Vaienti
In this paper we characterize the mixing properties in the advection of passive tracers by exploiting the extreme value theory for dynamical systems. With respect to classical tech…
Multifractal properties of return time statistics
N. Hadyn, J. Luevano, G. Mantica +1
Fluctuations in the return time statistics of a dynamical system can be described by a new spectrum of dimensions. Comparison with the usual multifractal analysis of measures is pr…