20 citations · 76 across the 28 of their papers we have counts for
5 papers · 1 filter
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 layer number of grids
Gergely Ambrus, Alexander Hsu, Bo Peng +1
The peeling process is defined as follows: starting with a finite point set , we repeatedly remove the set of vertices of the convex hull of the current set…
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…
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…