48 citations · 112 across the 5 of their papers we have counts for
5 papers
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…
The global statistics of return times: return time dimensions versus generalized measure dimensions
Giorgio Mantica
We investigate the relations holding among generalized dimensions of invariant measures in dynamical systems and similar quantities defined by the scaling of global averages of pow…
On the statistical distribution of first--return times of balls and cylinders in chaotic systems
Giorgio Mantica, Sandro Vaienti
We study returns in dynamical systems: when a set of points, initially populating a prescribed region, swarms around phase space according to a deterministic rule of motion, we say…
Fourier--Bessel functions of singular continuous measures and their many asymptotics
giorgio mantica
We study the Fourier transform of polynomials in an orthogonal family, taken with respect to the orthogonality measure. Mastering the asymptotic properties of these transforms, tha…
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…