We study analytically and numerically the extreme value distribution of observables defined along the temporal evolution of a dynamical system. The convergence to the Gumbel law of observable recurrences gives information on the fractal structure of the image of the invariant measure by the observable. We provide illustrations on idealized and physical systems.

中文翻译：

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观测重复的极值分布

我们分析和数值研究了沿动力系统的时间演化定义的可观测值的极值分布。对可观察递归的 Gumbel 定律的收敛给出了关于可观察的不变测度图像的分形结构的信息。我们提供了理想化和物理系统的插图。