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The growth and distribution of large circles on translation surfaces
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classification
math.DS
keywords
circlesconsidertranslationanalogousareacenterclosedcommon
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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.
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