Work

Joint partial equidistribution of Farey rays in negatively curved manifolds and trees

Year: 2024

Type: article

Abstract: We prove a joint partial equidistribution result for common perpendiculars with given density on equidistributing equidistant hypersurfaces, towards a measure supported on truncated stable leaves. We recover a result of Marklof on the joint partial equidistribution of Farey fractions at a given density, and give several analogous arithmetic applications, including in Bruhat–Tits trees.

Source: Ergodic Theory and Dynamical Systems

DOI: 10.1017/etds.2023.116

Authors: JOUNI PARKKONEN, FRÉDÉRIC PAULIN

Institutions: University of Jyväskylä, Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Mathématiques d'Orsay

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Centre National de la Recherche Scientifique

OpenAlex ID: W4321347810

FWCI: 2.056

Cites: 42

Cited by: 5

Related to: 10