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arXiv · 2212.09123

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

Jouni Parkkonen·Frédéric Paulin
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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.

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Jouni Parkkonen, Frédéric Paulin. 2022-12-18. Joint partial equidistribution of Farey rays in negatively curved manifolds and trees. https://doi.org/10.1017/etds.2023.116

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