4 citations · 4 across the 5 of their papers we have counts for
6 papers
Random convergence of generalized Steiner processes
Christian Kipp, Ádám Sagmeister
It is well-known that a random Steiner process converges almost surely to a Euclidean ball. On the other hand, as we show in this article, a planar random shaking process converges…
Pal's isominwidth problem in the hyperbolic space
Karoly J. Boroczky, Ansgar Freyer, Adam Sagmeister
The paper focuses on possible hyperbolic versions of the classical Pal isominwidth inequality in R^2 from 1921, which states that for a fixed minimal width, the regular triangle ha…
The isominwidth problem on the 2-sphere
Ansgar Freyer, Ádám Sagmeister
Pál's isominwidth theorem states that for a fixed minimal width, the regular triangle has minimal area. A spherical version of this theorem was proven by Bezdek and Blekherman, if…
Hyperbolic width functions and characterizations of bodies of constant width in the hyperbolic space
Károly J. Böröczky, András Csépai, Ádám Sagmeister
We discuss basic properties of several different width functions in the -dimensional hyperbolic space such as continuity, and we also define a new hyperbolic width as the extens…
Stability of the isodiametric problem on the sphere and in the hyperbolic space
Károly J. Böröczky, Ádám Sagmeister
We prove a stability version of the isodiametric inequality on the sphere and in the hyperbolic space.
Convex bodies of constant width in spaces of constant curvature and the extremal area of Reuleaux triangles
Karoly J. Boroczky, Adam Sagmeister
Extending Blaschke and Lebesgue's classical result in the Euclidean plane, it has been recently proved in spherical and the hyperbolic cases, as well, that Reuleaux triangles have…