Experiments Suggesting That the Distribution of the Hyperbolic Length of Closed Geodesics Sampling by Word Length Is Gaussian

DOI10.1080/10586458.2013.823135zbMath1293.57008arXiv1305.5912OpenAlexW2157174257MaRDI QIDQ5415562

Keren Li, Moira Chas, Bernard Maskit

Publication date: 13 May 2014

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5912

zbMATH Keywords

geodesicscentral limit theoremhyperbolic surfacesword length

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (5)

Central limit theorems for counting measures in coarse negative curvature ⋮ Conjugacy growth of commutators ⋮ Self-Intersection Numbers of Length-Equivalent Curves on Surfaces ⋮ A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture ⋮ Comparison theorems for closed geodesics on negatively curved surfaces

Cites Work

• Self-intersections in combinatorial topology: statistical structure
• Limit theorems for non-commutative operators. I
• Self-Intersection Numbers of Curves in the Doubly Punctured Plane
• Self-Intersection Numbers of Curves on the Punctured Torus
• Products of Random Matrices

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