7 papers
Kalai's flag conjecture for locally anti-blocking polytopes
Arnon Chor
We prove Kalai's full flag conjecture for the class of locally anti-blocking polytopes, and show that there is equality if and only if the polytope is a (generalized) Hanner polyto…
Some inequalities of isoperimetric type for the c-affine surface area
Shiri Artstein-Avidan, Arnon Chor
We study the c-affine surface area , recently introduced by Schütt, Werner and Yalikun. We show that on the class of ball-bodies, is maximized by a ball of radius $\frac…
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…
A refinement of the Šidák-Khatri inequality and a strong Gaussian correlation conjecture
Rotem Assouline, Arnon Chor, Shay Sadovsky
We prove two special cases of a strengthened Gaussian correlation conjecture, due to Tehranchi, and show that if the conjecture holds asymptotically, it holds for any dimension. Ad…
Hofer's geometry and topological entropy
Arnon Chor, Matthias Meiwes
In this article we study persistence features of topological entropy and periodic orbit growth of Hamiltonian diffeomorphisms on surfaces with respect to Hofer's metric. We exhibit…
Eggbeater dynamics on symplectic surfaces of genus 2 and 3
Arnon Chor
The group of all Hamiltonian diffeomorphisms of a symplectic manifold plays a central role in symplectic geometry. This group is endowed with the Hofer metric. I…