Search Results - "Vaienti, S."
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A Spectral Approach for Quenched Limit Theorems for Random Expanding Dynamical Systems
Published in Communications in mathematical physics (01-06-2018)“…We prove quenched versions of (i) a large deviations principle (LDP), (ii) a central limit theorem (CLT), and (iii) a local central limit theorem for…”
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On the Computation of the Extremal Index for Time Series
Published in Journal of statistical physics (01-06-2020)“…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…”
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Hitting and Return Times in Ergodic Dynamical Systems
Published in The Annals of probability (01-09-2005)“…Given an ergodic dynamical system (X, T, μ), and $U\subset X$ measurable with μ(U) > 0, let μ (U)τU(x) denote the normalized hitting time of x ∈ X to U. We…”
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Asymptotic distribution of global errors in the numerical computations of dynamical systems
Published in Physica A (01-11-2010)“…We propose an analysis of the effects introduced by finite-accuracy and round-off arithmetic on numerical computations of discrete dynamical systems. Our…”
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Relaxation to the asymptotic distribution of global errors due to round off
Published in Europhysics letters (01-02-2010)“…We propose an analysis of the effects introduced by finite accuracy and round-off arithmetic on discrete dynamical systems. We investigate, from a statistical…”
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Recurrence, dimensions and Lyapunov exponents
Published in Journal of statistical physics (2002)“…We show that the Poincaré return time of a typical cylinder is at least its length. For one dimensional maps we express the Lyapunov exponent and dimension via…”
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Error distribution in randomly perturbed orbits
Published in Chaos (Woodbury, N.Y.) (01-12-2009)“…Given an observable f defined on the phase space of some dynamical system generated by the mapT, we consider the error between the value of the function…”
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Statistics of Poincaré recurrences for maps with integrable and ergodic components
Published in Chaos (Woodbury, N.Y.) (01-03-2004)“…Recurrence gives powerful tools to investigate the statistical properties of dynamical systems. We present in this paper some applications of the statistics of…”
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Multiple returns for some regular and mixing maps
Published in Chaos (Woodbury, N.Y.) (01-09-2005)“…We study the distributions of the number of visits for some noteworthy dynamical systems, considering whether limit laws exist by taking domains that shrink…”
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Probabilistic aspects of dynamical systems
Published in Chaos, solitons and fractals (01-04-2020)Get full text
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Ergodic properties of the discontinuous sawtooth map
Published in Journal of statistical physics (01-04-1992)Get full text
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Computing the pressure for axiom-A attractors by time series and large deviations for the Lyapunov exponent
Published in Journal of statistical physics (01-08-1989)“…For the Axiom-A attractors a relation is given between the topological pressure and the spectrum of the generalized Lyapunov exponents. As a consequence, a…”
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Rigorous diffusion properties for the Sawtooth map
Published in Communications in mathematical physics (01-03-1992)Get full text
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Generalized dimensions, entropies, and Liapunov exponents from the pressure function for strange sets
Published in Journal of statistical physics (01-04-1988)Get full text
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On the Recurrence and Robust Properties of Lorenz’63 Model
Published in Communications in mathematical physics (01-08-2012)“…Lie-Poisson structure of the Lorenz’63 system gives a physical insight on its dynamical and statistical behavior considering the evolution of the associated…”
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Statistical properties of a nonuniformly hyperbolic map of the interval
Published in Journal of statistical physics (01-09-1993)Get full text
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Pseudo-orbits, stationary measures and metastability
Published in Dynamical systems (London, England) (03-07-2014)“…We characterize absolutely continuous stationary measures (acsms) of randomly perturbed dynamical systems in terms of pseudo-orbits linking the ergodic…”
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Diffusion on the torus for Hamiltonian maps
Published in Journal of statistical physics (01-04-1994)“…For a mapping of the torus T[sup 2] the authors propose a definition of the diffusion coefficient D suggested by the solution of the diffusion equation on…”
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Hausdorff dimensions in two-dimensional maps and thermodynamic formalism
Published in Journal of statistical physics (01-10-1989)“…The authors compute numerically the Hausdorff dimensions of the Gibbs measures on the invariant sets of Axiom A systems. In particular, they stress the…”
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On the wavelet analysis for multifractal sets
Published in Journal of statistical physics (01-10-1989)Get full text
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