A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture

Giulio Tiozzo; Ilya Gekhtman; Samuel J. Taylor

arxiv: 1808.08422 · v2 · pith:6R72CFMQnew · submitted 2018-08-25 · 🧮 math.GT · math.DS· math.GR

A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture

Ilya Gekhtman , Samuel J. Taylor , Giulio Tiozzo This is my paper

classification 🧮 math.GT math.DSmath.GR

keywords centralchas-li-maskitclosedconjecturegeodesicshyperboliclimittheorem

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We prove a central limit theorem for the length of closed geodesics in any compact orientable hyperbolic surface. In the special case of a hyperbolic pair of pants, this settles a conjecture of Chas-Li-Maskit.

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A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture

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