Classification of Odometers: A Short Elementary Proof

• Autorzy: Roman Hric , Miroslav Výbošťok
• Języki publikacji: EN

Abstrakty

EN

The paper deals with odometers (i.e. adding machines) of general type. We give a characterization of self-conjugacies of odometers which enables us to present an elementary proof of a classification of odometers given by Buescu and Stewart in [2]. The paper might also serve as a very quick introduction to odometers.(original abstract)

Słowa kluczowe

EN

Classification; Data classifications; Electronic system

PL

Klasyfikacja; Klasyfikacja danych; Układ elektroniczny

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2022
• Tom: 36 (2)
• Strony: 184--192

Twórcy

autor

Roman Hric

• Matej Bel University Banská Bystrica, Slovakia

autor

Miroslav Výbošťok

• Matej Bel University Banská Bystrica, Slovakia

Bibliografia

• Block L. and Keesling J., A characterization of adding machine maps, Topology Appl. 140 (2004), 151-161.
• Buescu J. and Stewart I., Liapunov stability and adding machines, Ergodic Theory Dynam. Systems 15 (1995), 271-290.
• Downarowicz T., Survey of odometers and Toeplitz flows, in: S. Kolyada et al. (eds.), Algebraic and Topological Dynamics, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005, pp. 7-37.
• Hewitt E. and Ross K., Abstract Harmonic Analysis I, 2nd Edition, Springer-Verlag, Berlin-New York, 1979.
• Kolyada S. and L'. Snoha, Minimal dynamical systems, Scholarpedia 4(11):5803 (2009), DOI: 10.4249/scholarpedia.5803.
• Výbošt'ok M., Classification of Floyd-Auslander systems with fixed pattern, Topology Appl. (2022), DOI: 10.1016/j.topol.2022.108143.

Identyfikatory

DOI

10.2478/amsil-2022-0010