Browsing Mathematics by Author "Athreya, Jayadev S"

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    • Gaps of saddle connection directions for some branched covers of tori 

      Sanchez, Anthony
      We compute the gap distribution of directions of saddle connections for two classes of translation surfaces. One class will be the translation surfaces arising from gluing two identical tori along a slit. These yield the ...

    • Quantitative density statements for translation surfaces 

      Southerland, Joshua
      The main results in this thesis are quantitative descriptions of the orbits of two dynamical systems on translation surfaces. First, we study the action of a discrete subgroup of $SL_2(\R)$ on a closed square-tiled surface ...