Gergely Ambrus

works on

gram matrices 1 inverse eigenvectors 1 polarization inequality 1 residue theory 1 tensor decomposition 1 tight frames 1

From the 1 of 6 linked papers with an AI index.

collaborators

6 papers

math.MG2026

Isotropic Decompositions via Inverse Eigenvectors

Gergely Ambrus

The paper introduces a residue‑theoretic framework for inverse eigenvectors of matrices and proves an inverse analogue of the spectral theorem, yielding explicit rank‑one tensor de…

math.MG2026

Softening locally polyhedral tilings

Gergely Ambrus, Dorottya DancsÃ³, Dorottya Dancsó

We call a cell $C \subset R^{d}$ soft if every point of its boundary lies on a smooth curve contained in $\partial C$ . A tiling of the space is called completely soft if all…

math.MG2026

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…

math.MG2025

Covering spiky annuli by planks

Gergely Ambrus, Julian Huddell, Maggie Lai +2

Answering Tarski's plank problem, Bang showed in 1951 that it is impossible to cover a convex body $K \subset R^{d}$ with $d \geq 1$ by planks whose total width is less than…

math.MG2025

Estimates on the decay of the Laplace-Polya integral

Gergely Ambrus, BarnabÃ¡s GÃ¡rgyÃ¡n

The Laplace--PÃ³lya integral, defined by $J_{n} (r) = \frac{1}{I ¨} \int_{- \infty}^{\infty} sinc^{n} t cos (r t) d t$ , appears in several areas of mathematics. We study this…

math.MG2025

Large Signed Sums and the Polarization Constant of Convex Bodies

Gergely Ambrus, Florian Grundbacher

As a counterpart to classical vector balancing, we study large signed sums of unit vectors in finite-dimensional Minkowski spaces and develop their connection with polarization pro…