Wednesday, January 30, 2013

1301.6948 (Roberto Artuso et al.)

Comment on "Lyapunov statistics and mixing rates for intermittent
systems"
   [PDF]

Roberto Artuso, Cesar Manchein
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.
View original: http://arxiv.org/abs/1301.6948

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