Dariusz Kosz

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math.DS2026

Polynomial ergodic theorems in the spirit of Dunford and Zygmund

Dariusz Kosz, Bartosz Langowski, Mariusz Mirek +1

The main goal of the paper is to prove convergence in norm and pointwise almost everywhere on $L^{p}$ , $p \in (1, \infty)$ , for certain multiparameter polynomial ergodic averages in th…

math.DS2025

The multilinear circle method and a question of Bergelson

Dariusz Kosz, Mariusz Mirek, Sarah Peluse +2

Let $k \in Z_{+}$ and $(X, B (X), I^¼)$ be a probability space equipped with a family of commuting invertible measure-preserving transformations $T_1,\ldots, T_k \colon…