2025/04/16 by Baracco, Luca, Bernardi, Olga, Fierobe, Corentin · 4 citations
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2504.11915
We focus on the outer length billiard dynamics, acting on the exterior of a strictly-convex planar domain. We first show that ellipses are totally integrable. We then provide an explicit representation of first order terms for the formal Taylor expansion of the corresponding Mather's β-function. Finally, we provide explicit Lazutkin coordinates up to order 4.