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arXiv · 1301.6948

Comment on "Lyapunov statistics and mixing rates for intermittent systems"

Roberto Artuso·Cesar Manchein
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Abstract

In Pires {\it et al.} [Phys. Rev. E 84, 066210 (2011)] intermittent maps are considered, and the tight relationship between correlation decay of smooth observables and large deviations estimates, as for instance employed in Artuso and Manchein [Phys. Rev. E 80, 036210 (2009)], is questioned. We try to clarify the problem, and provide rigorous arguments and an analytic estimate that disprove the objections raised in Pires {\it et al.} [Phys. Rev. E 84, 066210 (2011)] when ergodic systems are considered.

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Roberto Artuso, Cesar Manchein. 2013-01-29. Comment on "Lyapunov statistics and mixing rates for intermittent systems". https://doi.org/10.1103/physreve.87.016901

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