3 papers
math.CA2026
Discrete analogues in harmonic analysis: methods
Bartosz Langowski, Mariusz Mirek, Tomasz Z. Szarek
In this note we present how the almost-orthogonality methods based on arguments can be employed to study boundedness of discrete operators of Radon type. Almost-orthogonalit…
math.DS2026
On a problem of Ã. Stenflo
Klaudiusz Czudek, Tomasz Szarek
We construct an e-chain on a locally compact space with the unique stationary distribution such that the strong law of large numbers does not hold. This answers negatively the ques…
math.DS2025
Proximality, stability, and central limit theorem for random maps on an interval
Sander C. Hille, Katarzyna Horbacz, Hanna Oppelmayer +1
Stochastic dynamical systems consisting of non-invertible continuous maps on an interval are studied. It is proved that if they satisfy the recently introduced so-called -injec…