19 citations · 25 across the 4 of their papers we have counts for
6 papers
Asymptotic Bounds on the Combinatorial Diameter of Random Polytopes
Gilles Bonnet, Daniel Dadush, Uri Grupel +2
The combinatorial diameter of a polytope is the maximum shortest path distance between any pair of vertices. In this paper, we provide upper and lower…
Sampling by Intersections with Random Geodesics
Uri Grupel
In this paper we compare the different phenomena that occur when intersecting geometric objects with random geodesics on the unit sphere and inside convex bodies. On the high dimen…
Indistinguishable sceneries on the Boolean hypercube
Renan Gross, Uri Grupel
We show that the scenery reconstruction problem on the Boolean hypercube is in general impossible. This is done by using locally biased functions, in which every vertex has a const…
Sampling on the Sphere by Mutually Orthogonal Subspaces
Uri Grupel
The purpose of this paper is twofold. First, we provide an optimal bits lower bound for any two-way protocol for the Vector in Subspace Communication Problem which is…
Remarks on the Central Limit Theorem for Non-Convex Bodies
Uri Grupel
In this note, we study possible extensions of the Central Limit Theorem for non-convex bodies. First, we prove a Berry-Esseen type theorem for a certain class of unconditional bodi…
Anomalous Enhancement of the Superconducting Transition Temperature in Electron-Doped Cuprate Heterostructures
K. Jin, P. Bach, X. H. Zhang +7
The superconducting transition temperature of multilayers of electron-doped cuprates, composed of underdoped (or undoped) and overdoped La% CeCuO (LCCO)…