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math.DS2025
Outer length billiards on a large scale
Peter Albers, Lael Edwards-Costa, Serge Tabachnikov
We present some foundational results about the outer length billiard system, including its generating function and the invariant area form. We describe the limiting behavior of the…
math.DS2024
A family of maps and a vector field on plane polygons
Maxim Arnold, Lael Costa, Serge Tabachnikov
We study, theoretically and experimentally, a 1-parameter family of transformations and their limiting vector field on the space of plane polygons. These transformations are discre…