Counting and equidistribution of reciprocal geodesics and dihedral groups

Viveka Erlandsson; Juan Souto

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arXiv · 2204.09956

Counting and equidistribution of reciprocal geodesics and dihedral groups

Viveka Erlandsson·Juan Souto

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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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Viveka Erlandsson, Juan Souto. 2022-04-21. Counting and equidistribution of reciprocal geodesics and dihedral groups. https://arxiv.org/abs/2204.09956

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