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Professor Michael Magee's Outputs (2)

Counting One-Sided Simple Closed Geodesics on Fuchsian Thrice Punctured Projective Planes (2018)
Journal Article
Magee, M. (2020). Counting One-Sided Simple Closed Geodesics on Fuchsian Thrice Punctured Projective Planes. International Mathematics Research Notices, 2020(13), 3886-3901. https://doi.org/10.1093/imrn/rny112

We prove that there is a true asymptotic formula for the number of one-sided simple closed curves of length ≤ L on any Fuchsian real projective plane with three points removed. The exponent of growth is independent of the hyperbolic metric, and it is... Read More about Counting One-Sided Simple Closed Geodesics on Fuchsian Thrice Punctured Projective Planes.