3 papers
math.MG2025
On generalized disc-polygons in plane convex bodies with a higher degree of smoothness
Ferenc Fodor, Dániel I. Papvári
We prove power series expansions for the expectations of the number of vertices and missed area of random -convex polygons in planar convex bodies with sufficiently smooth bound…
math.MG2023
A central limit theorem for random disc-polygons in smooth convex discs
Ferenc Fodor, Dániel I. Papvári
In this paper we prove a quantitative central limit theorem for the area of uniform random disc-polygons in smooth convex discs whose boundary is . We use Stein's method and…
math.MG2019
On random approximations by generalized disc-polygons
Ferenc Fodor, Dániel I. Papvári, Viktor Vígh
For two convex discs and , we say that is -convex if it is equal to the intersection of all translates of that contain . In -convexity the set plays a s…