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arXiv 0906.0791nlin.CD
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不稳定性统计和混合率

Instability statistics and mixing rates

Roberto Artuso, Cesar Manchein

摘要:

我们声称,在概率分布的\emph{finite time}最大的李雅普诺夫指数,更精确地研究他们的大偏差性能,产生一个非常强大的技术,得到定量估计多项式衰减率的时间相关性和庞加莱递归在相当微妙的情况下,具有弱混沌特性的动力系统。

英文摘要:

We claim that looking at probability distributions of \emph{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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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