# 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… Expand

#### 6 Citations

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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. Expand

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