Gergely Ambrus

activity

20092026

most citedAnalytic and Probabilistic Problems in Discrete Geometry

20 citations · 76 across the 28 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CO2021

Piercing the chessboard

Gergely Ambrus, Imre Bárány, Péter Frankl +1

We consider the minimum number of lines $h_{n}$ and $p_{n}$ needed to intersect or pierce, respectively, all the cells of the $n \times n$ chessboard. Determining these values can also…

math.MG2021

Quantitative Helly-type theorems via sparse approximation

Víctor Hugo Almendra-Hernández, Gergely Ambrus, Matthew Kendall

We prove the following sparse approximation result for polytopes. Assume that $Q$ is a polytope in John's position. Then there exist at most $2 d$ vertices of $Q$ whose convex hull…

math.MG2021★ 4 cited

Critical central sections of the cube

Gergely Ambrus

We study the volume of central hyperplane sections of the cube. Using Fourier analytic and variational methods, we retrieve a geometric condition characterizing critical sections w…