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math.DS2023
An arithmetic Kontsevich--Zorich monodromy of a symmetric origami in genus 4
Xun Gong, Anthony Sanchez
We demonstrate the existence of a certain genus four origami whose Kontsevich--Zorich monodromy is arithmetic in the sense of Sarnak. The surface is interesting because its Veech g…
math.DS2023
Effective equidistribution of large dimensional measures on affine invariant submanifolds
Anthony Sanchez
The unstable foliation, that locally is given by changing horizontal components of period coordinates, plays an important role in study of translation surfaces, including their def…