Instability statistics and mixing rates.

  title={Instability statistics and mixing rates.},
  author={Roberto Artuso and Cesar Manchein},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={80 3 Pt 2},
  • R. Artuso, C. Manchein
  • Published 3 June 2009
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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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