2 citations · 3 across the 15 of their papers we have counts for
20 papers
Symmetrizations of Ball-Bodies
Shiri Artstein-Avidan, Dan I. Florentin
We study symmetrization procedures within the class of \emph{ball-bodies}, i.e.\ intersections of unit Euclidean balls (equivalently, summands of the Euclidean unit…
An in-depth study of ball-bodies
Shiri Artstein-Avidan, Dan I. Florentin
In this paper we study the class of so called `ball-bodies' in , given by intersections of translates of Euclidean unit balls (or, equivalently, summand of the Eucli…
A full classification of the isometries of the class of ball-bodies
Shiri Artstein-Avidan, Arnon Chor, Dan Florentin
Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball-bodies, endowed with the Hausdorf…
Isometries of the class of ball-bodies
Shiri Artstein-Avidan, Arnon Chor, Dan Florentin
We characterize the surjective isometries, with respect to the Hausdorff distance, of the class of bodies given by intersections of Euclidean unit balls. We show that any such isom…
On the Many Faces of Easily Covered Polytopes
Dan I. Florentin, Tomer Milo
Assume that for some polytope , where . Denote by the set of facets of , and by $N=N(P,B_2^n)…
Caustic-Free Regions for Billiards on Surfaces of Constant Curvature
Dan Itzhak Florentin, Yaron Ostrover, Daniel Rosen
In this note we study caustic-free regions for convex billiard tables in the hyperbolic plane or the hemisphere. In particular, following a result by Gutkin and Katok in the Euclid…