2009
DOI: 10.1103/physreve.80.036210
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Instability statistics and mixing rates

Abstract: We claim that looking at probability distributions of finite time largest Lyapunov exponents, and more precisely studying their large deviation properties, yields an extremely powerful technique to get quantitative estimates of polynomial decay rates of time correlations and Poincaré recurrences in the -quite delicate-case of dynamical systems with weak chaotic properties.

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Cited by 46 publications
(94 citation statements)
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References 29 publications
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“…The solid circles represent data from CLEO [450], which show consistency with predictions (dashed vertical lines), unlike some earlier measurements. The nonrelativistic theoretical expectations are calculated with an anomalous magnetic moment of the charm quark of zero and an assumed 1.5 GeV charm quark mass.…”
Section: Observation Of ψ(3770) → γχCj (1p )mentioning
confidence: 58%
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“…The solid circles represent data from CLEO [450], which show consistency with predictions (dashed vertical lines), unlike some earlier measurements. The nonrelativistic theoretical expectations are calculated with an anomalous magnetic moment of the charm quark of zero and an assumed 1.5 GeV charm quark mass.…”
Section: Observation Of ψ(3770) → γχCj (1p )mentioning
confidence: 58%
“…The nonrelativistic theoretical expectations are calculated with an anomalous magnetic moment of the charm quark of zero and an assumed 1.5 GeV charm quark mass. Adapted from [450] with kind permission, copyright (2009) The American Physical Society monium state with a small admixture of 2 3 S 1 . However, because it predominantly decays to DD, its behavior as a state of charmonium has gone relatively unexplored in comparison to its lighter partners.…”
Section: Observation Of ψ(3770) → γχCj (1p )mentioning
confidence: 99%
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“…The ratio of the M2 contributions of ψð3686Þ → γ 1 χ c1 to ψð3686Þ → γ 1 χ c2 (χ c1 → γ 2 J=ψ to χ c2 → γ 2 J=ψ) is independent of the m c and κ of the charm quark to first order in E γ =m c and predicted to be b [5], where the dominant uncertainties come from ignoring contributions of higher order in ðE γ =m c Þ 2 . Higher-order multipole amplitudes can be obtained by investigating the angular distributions of the final-state particles [1,6,7].…”
Section: Introductionmentioning
confidence: 99%
“…Using the same method as reported in Refs. [5,11,12], the joint angular distributions W χ cJ can be expressed in terms of a …”
mentioning
confidence: 99%