Work

Equidistribution of partial coverings from closed geodesics

Year: 2026

Type: article

Abstract: Given a finite volume hyperbolic surface, a fundamental polygon and an oriented closed geodesic, we associate a partial covering of the surface. We prove that given a sequence of collections of oriented closed geodesics equidistributing in the unit tangent bundle then the associated partial coverings also equidistribute. In the case of the modular group, this yields an alternative proof of an equidistribution result due to Duke, Imamoḡlu, and Tóth.

Source: Advances in Mathematics

DOI: 10.1016/j.aim.2026.110959

Authors: Asbjørn Christian Nordentoft, Ser Peow Tan

Institutions: University of Copenhagen, National University of Singapore

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790

Funders: National University of Singapore, Danmarks Frie Forskningsfond