2 papers
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.DG2025
On cusps of caustics by reflection in two dimensional projective Finsler metrics
Serge Tabachnikov
A Finsler, not necessarily symmetric, metric in the plane or its convex subset is called projective if its geodesics are straight segments. We consider Finsler billiards in a conve…