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math.CA2023
Large dilates of hypercube graphs in the plane
Vjekoslav Kovač, Bruno Predojević
We study a distance graph that is isomorphic to the -skeleton of an -dimensional unit hypercube. We show that every measurable set of positive upper Banach density in t…
math.CA2023
A strong-type Furstenberg-Sárközy theorem for sets of positive measure
Polona Durcik, Vjekoslav Kovač, Mario Stipčić
For every , we prove that a positive measure subset of the unit square contains a point such that nontrivially intersects curves $y-y_…