Counting and equidistribution of reciprocal geodesics and dihedral groups
Dynamical Systems
2022-04-22 v1 Geometric Topology
Number Theory
Abstract
We study the growth of the number of conjugacy classes of infinite dihedral subgroups of lattices in PSL(2,R), generalizing earlier work of Sarnak and Bourgain-Kontorovich on the growth of the number of reciprocal geodesics on the modular surface. We also prove that reciprocal geodesics are equidistributed in the unit tangent bundle.
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Cite
@article{arxiv.2204.09956,
title = {Counting and equidistribution of reciprocal geodesics and dihedral groups},
author = {Viveka Erlandsson and Juan Souto},
journal= {arXiv preprint arXiv:2204.09956},
year = {2022}
}
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16 pages