36 citations · 79 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
Topological synchronisation or a simple attractor?
Theophile Caby, Michele Gianfelice, Benoit Saussol +1
A few recent papers introduced the concept of topological synchronisation. We refer in particular to \cite{TS}, where the theory was illustrated by means of a skew product system,…
Matching of observations
Théophile Caby
We study the statistical distribution of the closest encounter between observations computed along different trajectories of a mixing dynamical system. At the limit of large trajec…
Extreme value distributions of observation recurrences
Théophile Caby, Davide Faranda, Sandro Vaienti +1
We study analytically and numerically the extreme value distribution of observables defined along the temporal evolution of a dynamical system. The convergence to the Gumbel law of…
On the computation of the extremal index for time series
Th. Caby, D. Faranda, S. Vaienti +1
The extremal index is a quantity introduced in extreme value theory to measure the presence of clusters of exceedances. In the dynamical systems framework, it provides important in…
Generalized dimensions, large deviations and the distribution of rare events
Théophile Caby, Davide Faranda, Giorgio Mantica +2
Generalized dimensions of multifractal measures are usually seen as static objects, related to the scaling properties of suitable partition functions, or moments of measures of cel…