Planar tropical caustics: trivalency and convexity
Tropical caustic of a convex domain on the plane is a canonically associated tropical analytic curve inside the domain. In this note we give a graphical proof for the classification of its intermediate vertices, implying in particular that they are always trivalent. Apart from that we explain how various known examples of tropical caustics are constructed and discuss the posibility of relaxing the convexity conditionon for the domain.
Authors
- Mikhail Shkolnikov (ORCID: https://orcid.org/0000-0003-1477-9409)
Institutions
- Institute of Mathematics and Informatics (BG)
Publication Details
- Journal
- Serdica Mathematical Journal
- Published
- 2025-10-14
- DOI
- https://doi.org/10.55630/serdica.2025.51.47-72
- Primary Topic
- Coastal and Marine Dynamics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Science Foundation Ireland