Dynamics of B-Free sets: a view through the window

Beitrag in einer Fachzeitschrift
(Online-Publikation)


Details zur Publikation

Autorinnen und Autoren: Kasjan S, Keller G, Lemańczyk M
Zeitschrift: International Mathematics Research Notices
Jahr der Veröffentlichung: 2019
Band: 2019
Heftnummer: 9
Seitenbereich: 2690-2734
ISSN: 1073-7928
Sprache: Englisch


Abstract

Let  be an infinite subset of {1,2,…}. We characterize
arithmetic and dynamical properties of the -free set  through group theoretical, topological and measure theoretic
properties of a set W (called the window) associated with . This
point of view stems from the interpretation of the set  as a weak model set. Our main results are:  is taut if and only
if the window is Haar regular; the dynamical system associated to  is a Toeplitz system if and only if the window is topologically
regular; the dynamical system associated to  is
proximal if and only if the window has empty interior; and the dynamical system
associated to  has the "na"ively expected" maximal
equicontinuous factor if and only if the interior of the window is aperiodic.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Keller, Gerhard Prof. Dr.
Professur für Mathematik (Ergodentheorie)


Einrichtungen weiterer Autorinnen und Autoren

Nicolaus Copernicus University / Uniwersytet Mikołaja Kopernika w Toruniu (UMK)


Zitierweisen

APA:
Kasjan, S., Keller, G., & Lemańczyk, M. (2019). Dynamics of B-Free sets: a view through the window. International Mathematics Research Notices, 2019(9), 2690-2734. https://dx.doi.org/10.1093/imrn/rnx196

MLA:
Kasjan, Stanislaw, Gerhard Keller, and Mariusz Lemańczyk. "Dynamics of B-Free sets: a view through the window." International Mathematics Research Notices 2019.9 (2019): 2690-2734.

BibTeX: 

Zuletzt aktualisiert 2019-22-05 um 14:53