Counting Arcs of the Same Type-Reference-Cited by-同舟云学术

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Counting Arcs of the Same Type

Published:2024-06-29 Issue:16 Volume:2024 Page:11749-11765
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Trin Marie¹

Affiliation:

1. Univ Rennes, CNRS, IRMAR - UMR 6625 , F-35000 Rennes, France

Abstract

Abstract We prove a general counting result for arcs of the same type in compact surfaces. We also count infinite arcs in cusped surfaces and arcs in orbifolds. These theorems are derived from a result that ensures the convergence of certain measures on the space of geodesic currents.

Publisher

Oxford University Press (OUP)

Link

https://academic.oup.com/imrn/article-pdf/2024/16/11749/58846580/rnae143.pdf

Reference22 articles.

1. Hyperbolic Structures on Surfaces and Geodesic Currents;Aramayona;Algorithmic and Geometric Topics Around Free Groups and Automorphisms.,2017

2. Normalizations of Thurston measure on the space of measured geodesic laminations;Arana-Herrera

3. Prime orthogeodesics, concave cores and families of identities on hyperbolic surfaces;Basmajian,2020

4. Counting arcs on hyperbolic surfaces;Bell;Groups Geom. Dyn.,2023

5. Arcs on hyperbolic surfaces: a view towards counting;Bell,2022

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