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  4. Regularity of Aperiodic Subshifts and Connections to Intermediate beta-Transformations
 
Zitierlink URN
https://nbn-resolving.de/urn:nbn:de:gbv:46-00106948-11

Regularity of Aperiodic Subshifts and Connections to Intermediate beta-Transformations

Veröffentlichungsdatum
2018-11-08
Autoren
Steffens, Malte Friedel  
Betreuer
Keßeböhmer, Marc  
Gutachter
Pohl, Anke  
Zusammenfassung
At the turn of this century Durand, Lagarias and Pleasants established that key features of minimal subshifts to be studied are linearly repetitive, repulsive and power free. In this thesis, we introduce generalisations and extensions of these features and establish a basic theory. Further, we study these new notions in the context of Sturmian subshifts and a family of aperiodic minimal subshifts stemming from Grigorchuk's infinite 2-group. In the second part, we study sequences of intermediate beta-transformations. Especially, we answer the question of how a sequence of corresponding normalised Parry measures converges as beta goes to one and we connect this convergence to Sturmian subshifts and the famous Thue-Morse sequence.
Schlagwörter
Aperiodic order

; 

Complexity

; 

Ergodic theory

; 

Subshifts

; 

Grigorchuk group

; 

beta-Transformations

; 

Sturmian sequences
Institution
Universität Bremen  
Fachbereich
Fachbereich 03: Mathematik/Informatik (FB 03)  
Dokumenttyp
Dissertation
Zweitveröffentlichung
Nein
Sprache
Englisch
Dateien
Lade...
Vorschaubild
Name

00106948-1.pdf

Size

850.79 KB

Format

Adobe PDF

Checksum

(MD5):e2dffb14f61bd47222655cbc8aef7616

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