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math.DS2025
Degree growth of skew pentagram maps
Max Weinreich
Skew pentagram maps act on polygons by intersecting diagonals of different lengths. They were introduced by Khesin-Soloviev in 2015 as conjecturally non-integrable generalizations…
math.DS2025
Algebraic billiards in the Fermat hyperbola
Max Weinreich
We prove two results on the algebraic dynamics of billiards in generic algebraic curves of degree . First, the dynamical degree grows quadratically in ; second, the se…