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math.DS2023★ 1 cited
The dynamical degree of billiards in an algebraic curve
Max Weinreich
We introduce an algebraic formulation of billiards on plane curves over algebraically closed fields, extending Glutsyuk's complex billiards. For any smooth algebraic curve of d…
math.DS2021
The Algebraic Dynamics of the Pentagram Map
Max H. Weinreich
The pentagram map, introduced by Schwartz in 1992, is a dynamical system on the moduli space of polygons in the projective plane. Its real and complex dynamics have been explored i…
math.DS2020
Automorphism Groups of Endomorphisms of
Julia Cai, Benjamin Hutz, Leo Mayer +1
For any algebraically closed field and any endomorphism of of degree at least 2, the automorphisms of are the Möbius transformations that commute with…