Spectral theory of regular sequences

Coons M, Evans J, Mañibo CN (2022)
Documenta Mathematica 27: 629-654.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Coons, Michael; Evans, James; Mañibo, Chrizaldy NeilUniBi
Abstract / Bemerkung
Regular sequences are natural generalisations of fixed points of constant-length substitutions on finite alphabets, that is, of automatic sequences. Using the harmonic analysis of measures associated with substitutions as motivation, we study the limiting asymptotics of regular sequences by constructing a systematic measure-theoretic framework surrounding them. The constructed measures are generalisations of mass distributions supported on attractors of iterated function systems.
Stichworte
regular sequences; aperiodic order; symbolic dynamics; continuous; measures; dilation equations
Erscheinungsjahr
2022
Zeitschriftentitel
Documenta Mathematica
Band
27
Seite(n)
629-654
eISSN
1431-0643
Page URI
https://pub.uni-bielefeld.de/record/2964059

Zitieren

Coons M, Evans J, Mañibo CN. Spectral theory of regular sequences. Documenta Mathematica . 2022;27:629-654.
Coons, M., Evans, J., & Mañibo, C. N. (2022). Spectral theory of regular sequences. Documenta Mathematica , 27, 629-654. https://doi.org/10.25537/dm.2022v27.629-653
Coons, M., Evans, J., and Mañibo, C. N. (2022). Spectral theory of regular sequences. Documenta Mathematica 27, 629-654.
Coons, M., Evans, J., & Mañibo, C.N., 2022. Spectral theory of regular sequences. Documenta Mathematica , 27, p 629-654.
M. Coons, J. Evans, and C.N. Mañibo, “Spectral theory of regular sequences”, Documenta Mathematica , vol. 27, 2022, pp. 629-654.
Coons, M., Evans, J., Mañibo, C.N.: Spectral theory of regular sequences. Documenta Mathematica . 27, 629-654 (2022).
Coons, Michael, Evans, James, and Mañibo, Chrizaldy Neil. “Spectral theory of regular sequences”. Documenta Mathematica 27 (2022): 629-654.

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