# Quantitative Universality for a Class of Weakly Chaotic Systems

@article{Venegeroles2014QuantitativeUF, title={Quantitative Universality for a Class of Weakly Chaotic Systems}, author={Roberto Venegeroles}, journal={Journal of Statistical Physics}, year={2014}, volume={154}, pages={988-998} }

We consider a general class of intermittent maps designed to be weakly chaotic, i.e., for which the separation of trajectories of nearby initial conditions is weaker than exponential. We show that all its spatio and temporal properties, hitherto regarded independently in the literature, can be represented by a single characteristic function ϕ. A universal criterion for the choice of ϕ is obtained within the Feigenbaum’s renormalization-group approach. We find a general expression for the…

## 6 Citations

Number of first-passage times as a measurement of information for weakly chaotic systems.

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It is shown that, for individual trajectories, information can be accurately inferred by the number of first-passage times through a given turbulent phase-space cell, which enables us to calculate far more efficiently Lyapunov exponents for such systems.

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It is given a simple proof that infinite measure implies universal Mittag-Leffler statistics of observables, rather than narrow distributions typically observed in finite measure ergodic maps.

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With methods from dynamical systems theory, the microscopic time-reversal symmetry can be shown to be broken at the statistical level of description in nonequilibrium systems, and the thermodynamic entropy production turns out to be related to temporal disorder and its time asymmetry away from equilibrium.

Slow Lévy flights.

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It is shown that Lévy laws, as well as Gaussian distributions, can also be the limit distributions of processes with long-range memory that exhibit very slow diffusion, logarithmic in time.

Explicit Time-Dependent Entropy Production Expressions: Fractional and Fractal Pesin Relations

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In this contribution, we present for the first time, explicit expressions for time-dependent entropy production, in the classical context. Here, we pursue the understanding of the time dependence of…

A Complete Bibliography of the Journal of Statistical Physics: 2000{2009

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