Starting the study of outer length billiards
We focus on 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 -function.Finally, we provide explicit Lazutkin coordinates up to order 4.
Authors
- Luca Baracco (ORCID: https://orcid.org/0000-0001-8041-0875)
- Olga Bernardi
- Corentin Fierobe (ORCID: https://orcid.org/0000-0003-0174-8638)
Institutions
- University of Rome Tor Vergata (IT)
- University of Padua (IT)
Publication Details
- Journal
- Pacific Journal of Mathematics
- Published
- 2025-09-21
- DOI
- https://doi.org/10.2140/pjm.2025.339.201
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00