A. Dymek

activity

20152026

B

-free and other Toeplitz shifts

1 citations · 2 across the 6 of their papers we have counts for

collaborators

7 papers

math.DS2026

On automorphisms of $B$ -admissible and related subshifts

Aurelia Dymek, Nazrul Haque, Stanisław Kasjan

We adapt ideas of Kim and Roush [15], originally developed in the study of automorphisms of sofic subshifts, to obtain sufficient conditions under which a subshift has a huge autom…

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.DS2023

Invariant measures for $B$ -free systems revisited

Aurelia Dymek, Joanna Kułaga-Przymus, Daniel Sell

For $B \subseteq N$ , the $B$ -free subshift $X_{η}$ is the orbit closure of the characteristic function of the set of $B$ -free integers.…

math.DS2022

Minimality of $B$ -free systems in number fields

Aurelia Dymek, Stanisław Kasjan, Joanna Kułaga-Przymus

Let $K$ be a finite extension of $Q$ and $O_{K}$ be its ring of integers. Let $B$ be a primitive collection of ideals in $O_{K}$ . We show that a…

math.DS2021★ 1 cited

Automorphisms of $B$ -free and other Toeplitz shifts

Aurelia Dymek, Stanisław Kasjan, Gerhard Keller

We present sufficient conditions for the triviality of the automorphism group of regular Toeplitz subshifts and give a broad class of examples from the class of $B$ -free…

math.DS2019

Proximality of multidimensional $B$ -free systems

Aurelia Dymek

We characterize proximality of multidimensional $B$ -free systems in the case of number fields and lattices in $Z^{m}$ , $m \geq 2$ .

math.DS2015★ 1 cited

$B$ -free integers in number fields and dynamics

Francisco Araújo, Aurelia Dymek, Joanna Kułaga-Przymus

In 2010, Sarnak initiated the study of the dynamics of the system determined by the square of the Möbius function (the characteristic function of the square-free integers). We deal…

On automorphisms of B-admissible and related subshifts

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

Invariant measures for B-free systems revisited

Minimality of B-free systems in number fields

Automorphisms of B-free and other Toeplitz shifts

Proximality of multidimensional B-free systems

B-free integers in number fields and dynamics