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

• Published in: Ergodic theory and dynamical systems Vol. 44; no. 9; pp. 2700 - 2736
• Main Authors: PARKKONEN, JOUNI, PAULIN, FRÉDÉRIC
• Format: Journal Article
• Language: English
• Published: Cambridge Cambridge University Press 01.09.2024
• Subjects: Density; Fractions; Hyperspaces; Lie groups; Trees

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 dens...