Abstract
We prove the existence of infinitely many low-lying and fundamental closed geodesics on the modular surface which are reciprocal, that is, invariant under time reversal. The method combines ideas from parts I and II of this series, namely, the dispersion method in bilinear forms, as applied to thin semigroups coming from restricted continued fractions.
Citation
Jean Bourgain. Alex Kontorovich. "Beyond expansion, III: Reciprocal geodesics." Duke Math. J. 168 (18) 3413 - 3435, 1 December 2019. https://doi.org/10.1215/00127094-2019-0056
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