S. Kasjan

activity

20052022

B

-free sets: a view through the window

16 citations · 36 across the 9 of their papers we have counts for

collaborators

11 papers

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.RT2020

The existence of Hall polynomials for $x^{2}$ -bounded invariant subspaces of nilpotent linear operators

Stanisław Kasjan, Justyna Kosakowska

We prove the existence of Hall polynomials for $x^{2}$ -bounded invariant subspaces of nilpotent linear operators.

math.RT2019

On tame strongly simply connected algebras

Stanisław Kasjan, Andrzej Skowroński

In this survey we present the criterion for tameness of strongly simply connected algebras due to Brüstle, de la Peña and Skowroński. We recall relevant concepts of representation…

math.DS2017★ 16 cited

Dynamics of $B$ -free sets: a view through the window

Stanisław Kasjan, Gerhard Keller, Mariusz Lemańczyk

Let $B$ be an infinite subset of ${1, 2, \dots}$ . We characterize arithmetic and dynamical properties of the $B$ -free set $F_{B}$ through group…

math.DS2015★ 8 cited

$B$ -free sets and dynamics

Aurelia Bartnicka, Stanisław Kasjan, Joanna Kułaga-Przymus +1

Let $B \subset N$ and let $η \in {0, 1}^{Z}$ be the characteristic function of the set $F_{B} := Z ∖ ⋃_{b} b Z$ of B-free numbers. Consider $…

math.DS2015★ 2 cited

Odometers and Toeplitz systems revisited in the context of Sarnak's conjecture

Tomasz Downarowicz, Stanislaw Kasjan

Although Sarnak's conjecture holds for compact group rotations (irrational rotations, odometers), it is not even known whether it holds for all Jewett-Krieger models of such rotati…

math.DS2014★ 1 cited

Polynomial actions of unitary operators and idempotent ultrafilters

Vitaly Bergelson, Stanisław Kasjan, Mariusz Lemańczyk

Let $p$ be an idempotent ultrafilter over $N$ . For a positive integer $N$ , let $P_{\leq N}$ denote the additive group of polynomials $P \in Z [x]$ with ${\rm…

math.DS2013

0-1 sequences of the Thue-Morse type and Sarnak's conjecture

El Houcein El Abdalaoui, Stanisław Kasjan, Mariusz Lemańczyk

We show that the images via $z \mapsto z^{m}$ of the continuous part of the spectral measures of the dynamical systems generated by the 0-1 sequences of the Thue-Morse type are pairwi…

math.RT2009

On Lie algebras associated with representation directed algebras

Stanisław Kasjan, Justyna Kosakowska

Let $B$ be a representation-finite $C$ -algebra. The $Z$ -Lie algebra $L (B)$ associated with $B$ has been defined by Ch. Riedtmann. If $B$ is representation-directe…

astro-ph2005★ 8 cited

The Kyiv Meridian Axial Circle Catalogue of stars in fields with extragalactic radio sources

P. Lazorenko, Yu. Babenko, V. Karbovsky +3

A catalogue of astrometric (positions, proper motions) and photometric (B, V, R, r', J) data of stars in fields with ICRF objects has been compiled at the Observatory of the Nation…

Minimality of B-free systems in number fields

Automorphisms of B-free and other Toeplitz shifts

The existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators