18 citations · 23 across the 6 of their papers we have counts for
6 papers
Variance bounds for disc-polygons
Ferenc Fodor, Balázs Grünfelder, Viktor Vígh
We prove asymptotic lower bounds on the variance of the number of vertices and missed area of random disc-polygons in convex discs whose boundary is smooth. The established…
On random disc-polygons in a disc-polygon
Ferenc Fodor, Péter Kevei, Viktor Vígh
We prove asymptotic formulas for the expectation of the vertex number and missed area of uniform random disc-polygons in convex disc-polygons. Our statements are the -convex ana…
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…
On the diminishing process of B. Tóth
Péter Kevei, Viktor Vígh
Let and be convex bodies in , such that contains the origin, and define the process , , as follows: let be a uniform ran…
The diminishing segment process
Gergely Ambrus, Péter Kevei, Viktor Vígh
Let S(1) be the segment [-1,1], and define the segments S(n) recursively in the following manner: let S(n+1) be the intersection of S(n) and a(n+1) + S(1), where the point a(n+1) i…
Intrinsic volumes of inscribed random polytopes in smooth convex bodies
Imre Bárány, Ferenc Fodor, Viktor Vígh
Let be a dimensional convex body with a twice continuously differentiable boundary and everywhere positive Gauss-Kronecker curvature. Denote by the convex hull of …