Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Kasjan Stanisław"'
Autor:
Kasjan Stanisław
Publikováno v:
Open Mathematics, Vol 1, Iss 1, Pp 97-107 (2003)
Externí odkaz:
https://doaj.org/article/92014ea18bd74af6bd6dff93bc3c49ef
Let $K$ be a finite extension of $\mathbb{Q}$ and $\mathcal{O}_K$ be its ring of integers. Let $\mathfrak{B}$ be a primitive collection of ideals in $\mathcal{O}_K$. We show that any $\mathfrak{B}$-free system is essentially minimal. Moreoever, the $
Externí odkaz:
http://arxiv.org/abs/2207.05396
Publikováno v:
Acta Arithmetica 209 (2023), 135-171
We study the complexity of $\mathscr{B}$-free subshifts which are proximal and of zero entropy. Such subshifts are generated by Behrend sets. The complexity is shown to achieve any subexponential growth and is estimated for some classical subshifts (
Externí odkaz:
http://arxiv.org/abs/2205.08273
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 $\mathcal{B}$-free subshifts satisfying them, extending [10]. On the other hand we provid
Externí odkaz:
http://arxiv.org/abs/2111.10679
Autor:
Kasjan, Stanisław, Kosakowska, Justyna
We prove the existence of Hall polynomials for $x^2$-bounded invariant subspaces of nilpotent linear operators.
Externí odkaz:
http://arxiv.org/abs/2012.12744
Autor:
Kasjan, Stanisław, Skowroński, Andrzej
In this survey we present the criterion for tameness of strongly simply connected algebras due to Br\"ustle, de la Pe\~na and Skowro\'nski. We recall relevant concepts of representation theory and discuss some applications and connections to other pr
Externí odkaz:
http://arxiv.org/abs/1905.06028
Autor:
Kasjan, Stanisław, Kosakowska, Justyna
Publikováno v:
In Journal of Pure and Applied Algebra May 2022 226(5)
Let $\mathcal B$ be an infinite subset of $\{1,2,\dots\}$. We characterize arithmetic and dynamical properties of the $\mathcal B$-free set $\mathcal F_{\mathcal B}$ through group theoretical, topological and measure theoretic properties of a set $W$
Externí odkaz:
http://arxiv.org/abs/1702.02375
Let $B\subset \mathbb{N}$ and let $\eta\in \{0,1\}^\mathbb{Z}$ be the characteristic function of the set $F_B:=\mathbb{Z}\setminus\bigcup_{b}b\mathbb{Z}$ of B-free numbers. Consider $(S,X_\eta)$, where $X_\eta$ is the closure of the orbit of $\eta$ u
Externí odkaz:
http://arxiv.org/abs/1509.08010
Autor:
Downarowicz, Tomasz, Kasjan, Stanislaw
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 rotations. In this paper we show that it does, as long as the model is at th
Externí odkaz:
http://arxiv.org/abs/1502.02307