50 citations · 289 across the 33 of their papers we have counts for
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Pointwise convergence of certain continuous-time double ergodic averages
Michael Christ, Polona Durcik, Vjekoslav Kovač +1
We prove a.e. convergence of continuous-time quadratic averages with respect to two commuting -actions, coming from a single jointly measurable measure-preserving $\mat…
Density theorems for anisotropic point configurations
Vjekoslav Kovač
Several results in the existing literature establish Euclidean density theorems of the following strong type. These results claim that every set of positive upper Banach density in…
The density of sets containing large similar copies of finite sets
Kenneth Falconer, Vjekoslav Kovač, Alexia Yavicoli
We prove that if () is a Lebesgue-measurable set with density larger than , then contains similar copies of every -point…
Convergence of ergodic-martingale paraproducts
Vjekoslav Kovač, Mario Stipčić
In this note we introduce a sequence of bilinear operators that unify ergodic averages and backward martingales in a nontrivial way. We establish its convergence in a range of $L^p…
A Szemerédi-type theorem for subsets of the unit cube
Polona Durcik, Vjekoslav Kovač
We investigate gaps of -term arithmetic progressions inside a positive measure subset of the unit cube . If lengths of their gaps are…