Poisson approximation of the length spectrum of random surfaces

27 Nov 2017  ·  Petri Bram, Thaele Christoph ·

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. read more

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Probability Differential Geometry Geometric Topology