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