Mario Stipčić

activity

20202023

most citedConvergence of ergodic-martingale paraproducts

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2023

A strong-type Furstenberg-Sárközy theorem for sets of positive measure

Polona Durcik, Vjekoslav Kovač, Mario Stipčić

For every $β \in (0, \infty)$ , $β \neq = 1$ we prove that a positive measure subset $A$ of the unit square contains a point $(x_{0}, y_{0})$ such that $A$ nontrivially intersects curves $y-y_…

math.CO2022

Quantitative bounds for product of simplices in subsets of the unit cube

Polona Durcik, Mario Stipčić

For each $1 \leq i \leq n$ , let $k_{i} \geq 1$ and let $Δ_{i}$ be a set of vertices of a non-degenerate simplex of $k_{i} + 1$ points in $R^{k_{i} + 1}$ . If $A\subseteq [0,1]^{k_1+1}\tim…

math.PR2020★ 2 cited

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…