A central limit theorem for random closed geodesics: Proof of the Chas–Li–Maskit conjecture

Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number106852
JournalAdvances in Mathematics
Volume358
DOIs
StatePublished - 15 Dec 2019
Externally publishedYes

Keywords

  • Central limit theorem
  • Hyperbolic length
  • Surface groups
  • Word metric

All Science Journal Classification (ASJC) codes

  • General Mathematics

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