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The growth and distribution of large circles on translation surfaces

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 نشر من قبل Paul Colognese Mr
 تاريخ النشر 2021
  مجال البحث
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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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