论文标题

光谱技术的极端价值理论:应用于简单的吸引子

Extreme Value Theory with Spectral Techniques: application to a simple attractor

论文作者

Atnip, Jason, Haydn, Nicolai, Vaienti, Sandro

论文摘要

我们简要说明了通过使用与传输操作员相关的扰动技术在动态系统中应用极端价值理论的应用。我们将将其应用于面包师的地图,我们将获得一个极端指数的精确公式。我们还将证明,小型访问数量的统计数据是分布的复合泊松。

We give a brief account of application of extreme value theory in dynamical systems by using perturbation techniques associated to the transfer operator. We will apply it to the baker's map and we will get a precise formula for the extremal index. We will also show that the statistics of the number of visits in small sets is compound Poisson distributed.

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