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math.GT2026
Point Processes and Gap Statistics for Translation Surfaces
Kai Fu, Anthony Sanchez
We study the behavior of saddle connection directions on translation surfaces from the point process viewpoint. We define a direction point process for saddle connections of length…
math.GT2026
Translation Surfaces arising from Right Regular Prisms
Xun Gong, Zuo Lin, Anthony Sanchez
We study flat metrics arising from right regular -prisms by viewing them as -differentials and analyzing their associated unfoldings. We show that the unfolding of a right re…