S. Kasjan

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math.DS2025

A note on $B$ -free sets and the existence of natural density

Aurelia Dymek, Stanisław Kasjan, Joanna Kułaga-Przymus

Given $B \subseteq N$ , let $M_{B} = ⋃_{b \in B} b Z$ be the correspoding set of multiples. We say that $B$ is taut…

math.DS2025

Besicovitch covering numbers for $B$ -free and other shifts

Stanisław Kasjan, Gerhard Keller

For a finite alphabet $A$ define by $d_{1} (x, y) := lim sup_{n \to \infty} \frac{1}{2 n + 1} # {∣ i ∣ \leq n : x_{i} \neq = y_{i}}$ the Besicovitch pseudo-metric on $A^{Z}$ . It is well known tha…

A note on B-free sets and the existence of natural density

Besicovitch covering numbers for B-free and other shifts

A note on $B$ -free sets and the existence of natural density

Besicovitch covering numbers for $B$ -free and other shifts