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 editors: Parkkonen, Jouni; Paulin, Frédéric
Journal or series: Ergodic Theory and Dynamical Systems
ISSN: 0143-3857
eISSN: 1469-4417
Publication year: 2024
Publication date: 08/01/2024
Volume: 44
Issue number: 9
Pages range: 2700-2736
Publisher: Cambridge University Press
Publication country: United Kingdom
Publication language: English
DOI: https://doi.org/10.1017/etds.2023.116
Publication open access: Not 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.
Keywords: dynamical systems; differential geometry; number theory
Free keywords: equidistribution; negative curvature; geodesic flow; common perpendiculars; Farey fractions
Contributing organizations
Ministry reporting: Yes
VIRTA submission year: 2024
Preliminary JUFO rating: 2