50 citations · 289 across the 33 of their papers we have counts for
5 papers · 1 filter
On side lengths of corners in positive density subsets of the Euclidean space
Polona Durcik, Vjekoslav Kovač, Luka Rimanić
We generalize a result by Cook, Magyar, and Pramanik [3] on three-term arithmetic progressions in subsets of to corners in subsets of $\mathbb{R}^d\times\mathbb{R}^d…
Bellman functions and estimates for paraproducts
Vjekoslav Kovač, Kristina Ana Škreb
We give an explicit formula for one possible Bellman function associated with the boundedness of dyadic paraproducts regarded as bilinear operators or trilinear forms. Then w…
Power-type cancellation for the simplex Hilbert transform
Polona Durcik, Vjekoslav Kovač, Christoph Thiele
We prove bounds for the truncated simplex Hilbert transform which grow with a power less than one of the truncation range in the logarithmic scale.
On the combined use of GW approximation and cumulant expansion in the calculations of quasiparticle spectra: The paradigm of Si valence bands
Branko Gumhalter, Vjekoslav Kovač, Fabio Caruso +2
Since the earliest implementations of the various GW approximations and cumulant expansion in the calculations of quasiparticle propagators and spectra, several attempts have been…
Norm-variation of ergodic averages with respect to two commuting transformations
Polona Durcik, Vjekoslav Kovač, Kristina Ana Škreb +1
We study double ergodic averages with respect to two general commuting transformations and establish a sharp quantitative result on their convergence in the norm. We approach the p…