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arXiv · 1404.1656

Borel Cantelli Lemmas and Extreme Value Theory for Geometric Lorenz Models

Licheng Zhang
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Abstract

We establish dynamical Borel-Cantelli lemmas for nested balls and rectangles centered at generic points in the setting of geometric Lorenz maps. We also establish extreme value statistics for observations maximized at generic points for geometric Lorenz maps and the associated flow.

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Licheng Zhang. 2014-08-01. Borel Cantelli Lemmas and Extreme Value Theory for Geometric Lorenz Models. https://arxiv.org/abs/1404.1656

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