Automorphisms of B-free and other Toeplitz shifts

Dymek A, Kasjan S, Keller G (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Ergodic Theory and Dynamical Systems Cambridge University Press (CUP)

DOI: 10.1017/etds.2023.43

Abstract

We present sufficient conditions for the triviality of the automorphism group of regular Toeplitz subshifts and give a broad class of examples from the class of B-free subshifts satisfying them, extending the work of Dymek [Automorphisms of Toeplitz B-free systems. Bull. Pol. Acad. Sci. Math. 65(2) (2017), 139-152]. Additionally, we provide an example of a B-free Toeplitz subshift whose automorphism group has elements of arbitrarily large finite order, answering Question 11 of S. Ferenczi et al [Sarnak's conjecture: what's new. Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics (Lecture Notes in Mathematics, 2213). Eds. S. Ferenczi, J. Kułaga-Przymus and M. Lemańczyk. Springer, Cham, 2018, pp. 163-235].

Authors with CRIS profile

Gerhard Keller Professur für Angewandte Mathematik (Angewandte Analysis)

Involved external institutions

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

How to cite

APA:

Dymek, A., Kasjan, S., & Keller, G. (2023). Automorphisms of B-free and other Toeplitz shifts. Ergodic Theory and Dynamical Systems. https://dx.doi.org/10.1017/etds.2023.43

MLA:

Dymek, Aurelia, StanisłAW Kasjan, and Gerhard Keller. "Automorphisms of B-free and other Toeplitz shifts." Ergodic Theory and Dynamical Systems (2023).

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