Rigidity and Toeplitz systems
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA2603C67" target="_blank" >RIV/61988987:17610/25:A2603C67 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.degruyterbrill.com/document/doi/10.1515/forum-2025-0066/html" target="_blank" >https://www.degruyterbrill.com/document/doi/10.1515/forum-2025-0066/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/forum-2025-0066" target="_blank" >10.1515/forum-2025-0066</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Rigidity and Toeplitz systems
Popis výsledku v původním jazyce
The aim of this paper is to study measure-theoretical rigidity and partial rigidity for classes of Cantor dynamical systems including Toeplitz systems and enumeration systems. We use Bratteli diagrams to control invariant measures that are produced in our constructions. This leads to systems with desired properties. Among other things, we show that there exists a Toeplitz system with zero entropy that is not partially measure-theoretically rigid with respect to its (unique) invariant measure. We investigate enumeration systems defined by a linear recursion, prove that all such systems are partially rigid and present an example of an enumeration system which is not measure-theoretically rigid. We construct a minimal S-adic Toeplitz subshift which has countably infinitely many ergodic invariant probability measures which are rigid for the same rigidity sequence.
Název v anglickém jazyce
Rigidity and Toeplitz systems
Popis výsledku anglicky
The aim of this paper is to study measure-theoretical rigidity and partial rigidity for classes of Cantor dynamical systems including Toeplitz systems and enumeration systems. We use Bratteli diagrams to control invariant measures that are produced in our constructions. This leads to systems with desired properties. Among other things, we show that there exists a Toeplitz system with zero entropy that is not partially measure-theoretically rigid with respect to its (unique) invariant measure. We investigate enumeration systems defined by a linear recursion, prove that all such systems are partially rigid and present an example of an enumeration system which is not measure-theoretically rigid. We construct a minimal S-adic Toeplitz subshift which has countably infinitely many ergodic invariant probability measures which are rigid for the same rigidity sequence.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10101 - Pure mathematics
Návaznosti výsledku
Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Ostatní
Rok uplatnění
2025
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Forum Mathematicum
ISSN
0933-7741
e-ISSN
1435-5337
Svazek periodika
—
Číslo periodika v rámci svazku
3
Stát vydavatele periodika
DE - Spolková republika Německo
Počet stran výsledku
30
Strana od-do
863-892
Kód UT WoS článku
001600420500001
EID výsledku v databázi Scopus
2-s2.0-105020041482