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20212026
most citedMoon in a puddle and the four-vertex theorem

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math.DS2026

Outer Contact Billiards

Ana Chavez Caliz, Connor Jackman

We introduce outer contact billiards as an odd dimensional counterpart to outer symplectic billiards. Until now, outer billiards have only been considered in even dimensional sympl…

math.DS2026

Symplectic billiards as Minkowski billiards

Peter Albers, Ana Chavez Caliz, Serge Tabachnikov

We establish a connection between Minkowski billiards and symplectic billiards, two classes of dynamical systems that have been studied largely independently. We show that the Mink…