20 citations · 76 across the 28 of their papers we have counts for
28 papers · 1 filter
On plank coverings of cube annuli
Gergely Ambrus, Matthew Corbo, Dakota Nobuyuki Goto +2
We study plank coverings of cube annuli , where is the -dimensional unit cube and is a homothetic copy lying in its interior. A. Bezdek…
An elementary solution of the polarization problem
Gergely Ambrus
By distilling and combining earlier arguments, we give a self-contained and entirely elementary proof of the strong and real linear polarization inequalities established by Martíne…
Minimal central slices of the regular simplex
Gergely Ambrus, Barnabás Gárgyán
We prove that minimal-volume hyperplane sections of the regular simplex through its centroid are parallel to a facet. The proof combines variational methods with Fourier-analytic t…
Isotropic Decompositions via Inverse Eigenvectors
Gergely Ambrus
We develop a residue-theoretic framework for studying inverse eigenvectors of a square matrix, defined by the nonlinear equation . Our main result is an inverse analogue…
Softening locally polyhedral tilings
Gergely Ambrus, Dorottya Dancsó
We call a cell soft if every point of its boundary lies on a smooth curve contained in . A tiling of the space is called completely soft if all…
A note on the Steinitz Lemma
Gergely Ambrus, Rainie Heck
We establish the connection between the Steinitz problem for ordering vector families in arbitrary norms and its variant for not necessarily zero-sum families consisting of `nearly…