A1 Journal article (refereed)
Joint partial equidistribution of Farey rays in negatively curved manifolds and trees (2024)


Parkkonen, J., & Paulin, F. (2024). Joint partial equidistribution of Farey rays in negatively curved manifolds and trees. Ergodic Theory and Dynamical Systems, 44(9), 2700-2736. https://doi.org/10.1017/etds.2023.116


JYU authors or editors


Publication details

All authors or editorsParkkonen, Jouni; Paulin, Frédéric

Journal or seriesErgodic Theory and Dynamical Systems

ISSN0143-3857

eISSN1469-4417

Publication year2024

Publication date08/01/2024

Volume44

Issue number9

Pages range2700-2736

PublisherCambridge University Press

Publication countryUnited Kingdom

Publication languageEnglish

DOIhttps://doi.org/10.1017/etds.2023.116

Publication open accessNot open

Publication channel open access

Web address of parallel published publication (pre-print)https://arxiv.org/abs/2212.09123


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.


Keywordsdynamical systemsdifferential geometrynumber theory

Free keywordsequidistribution; negative curvature; geodesic flow; common perpendiculars; Farey fractions


Contributing organizations


Ministry reportingYes

VIRTA submission year2024

Preliminary JUFO rating2


Last updated on 2025-06-02 at 15:35