Random spherical disc–polygons and a duality
Abstract We consider the asymptotic behaviour of the expectation of the perimeter deviation of a uniform random spherical disc–polygon in a spherical spindle convex disc with smooth boundary. We also introduce the notion of duality on the sphere, define a model of random circumscribed disc–polygons, and determine some asymptotic results about them.
Authors
- Kinga Nagy (ORCID: https://orcid.org/0000-0002-0582-7133)
- Viktor Vígh
Institutions
- Osnabrück University (DE)
- University of Szeged (HU)
Publication Details
- Journal
- Journal of Applied Probability
- Published
- 2026-03-02
- DOI
- https://doi.org/10.1017/jpr.2025.10067
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00