References & Citations
Mathematics > Dynamical Systems
Title: The growth and distribution of large circles on translation surfaces
(Submitted on 29 Jul 2021)
Abstract: We consider circles on a translation surface $X$, consisting of points joined to a common center point by a geodesic of length $R$. We show that as $R \to \infty$ these circles distribute to a measure on $X$ which is equivalent to the area. In the last section we consider analogous results for closed geodesics.
Submission history
From: Paul Colognese Mr [view email][v1] Thu, 29 Jul 2021 14:49:59 GMT (471kb,D)
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