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math.CA2026
Rectangles, triangles and Schrödinger waves
Jonathan Bennett, Vjekoslav Kovač, Shohei Nakamura +1
Can a finite set of lattice points determine many rectangles and few isosceles triangles? This turns out to be a surprisingly interesting question in combinatorial geometry that we…
math.CA2026
Near-optimal density theorems for large dilates of large point configurations
Vjekoslav Kovač, Adian Anibal Santos Sepčić
We study density thresholds that force a measurable set to contain all sufficiently large similar copies of every -point configuration. We prove a lower…
math.CA2026
Sharp variational inequalities for the Hardy-Littlewood maximal operator on finite undirected graphs
Cristian González-Riquelme, Vjekoslav Kovač, José Madrid
We study sharp -variational inequalities for the Hardy-Littlewood maximal operator on complete graphs, answering in the affirmative a question by Feng Liu and Qingying Xue. We a…