857 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Hungarian Academy of SciencesHU402 papers
- Eötvös Loránd UniversityHU156 papers
- Budapest University of Technology and EconomicsHU58 papers
- Central European UniversityAT42 papers
- École Polytechnique Fédérale de LausanneCH31 papers
- Central European University - Budapest Campus24 papers
- University of PannoniaHU23 papers
- Centre National de la Recherche ScientifiqueFR21 papers
- University College LondonGB20 papers
- University of SzegedHU20 papers
- University of Illinois Urbana-ChampaignUS18 papers
- Charles UniversityCZ15 papers
7 papers · 2 filters
Large signed subset sums
Gergely Ambrus, Bernardo González Merino
We study the following question: for given , and , what is the largest value such that from any set of unit vectors in , w…
Longest k-monotone chains
Gergely Ambrus
We study higher order convexity properties of random point sets in the unit square. Given uniform i.i.d random points, we derive asymptotic estimates for the maximal number of…
The cocked hat
Imre Bárány, William Steiger, Sivan Toledo
We revisit the cocked hat -- an old problem from navigation -- and examine under what conditions its old solution is valid.
New estimates for convex layer numbers
Gergely Ambrus, Peter Nielsen, Caledonia Wilson
Starting with a finite point set , the peeling process repeatedly removes the set of the vertices of the convex hull of the current set. The number of peeli…
Isometric study of Wasserstein spaces --- the real line
György Pál Gehér, Tamás Titkos, Dániel Virosztek
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space . It turned out that the case of the rea…
Uniform tight frames as optimal signals
Gergely Ambrus, Bo Bai, Jianfeng Hou
Non-orthogonal communication is a promising technique for future wireless networks (e.g., 6G and Wi-Fi 7). In the vector channel model, designing efficient non-orthogonal communica…
Strengthened inequalities for the mean width and the -norm
Károly J. Böröczky, Ferenc Fodor, Daniel Hug
Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; o…