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arXiv · 1605.00415

Poisson approximation of the length spectrum of random surfaces

Bram Petri·Christoph Thaele
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Abstract

Multivariate Poisson approximation of the length spectrum of random surfaces is studied by means of the Chen-Stein method. This approach delivers simple and explicit error bounds in Poisson limit theorems. They are used to prove that Poisson approximation applies to curves of length up to order $o(\log\log g)$ with $g$ being the genus of the surface.

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Bram Petri, Christoph Thaele. 2016-05-02. Poisson approximation of the length spectrum of random surfaces. https://arxiv.org/abs/1605.00415

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