Poisson approximation of the length spectrum of random surfaces
نویسندگان
چکیده
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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