对“间歇系统的李雅普诺夫统计和混合率”一文的评论
Comment on "Lyapunov statistics and mixing rates for intermittent systems"
摘要:
在皮雷斯{ \it等人} [Phys.Rev.E84,066210(2011)]考虑了间歇性映射,并且质疑了平滑可观测量的相关衰减与大偏差估计之间的紧密关系,例如Artuso和Manchein [Phys.Rev.E80,036210(2009)]中所采用的。我们试图澄清这个问题,并提供严格的论据和分析估计,反驳在皮雷斯{ \it等人}提出的异议。[Phys.Rev.E84,066210(2011)]中所描述的。
英文摘要:
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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