Automorphisms of Toeplitz B-free systems

• Autorzy: Dymek, A.
• Języki publikacji: EN

Abstrakty

EN

For each B-free subshift given by B={2ⁱb_i} i ∈ N, where {b_i} i ∈ N is a set of pairwise coprime odd numbers greater than one, it is shown that the automorphism group of the subshift consists solely of powers of the shift.

Słowa kluczowe

EN

B-free subshift; Toeplitz subshift; automorphism group

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2017
• Tom: Vol. 65, no. 2
• Strony: 139--152
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Dymek, A.

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland,

Bibliografia

• [1] E. H. El Abdalaoui, M. Lemańczyk and T. de la Rue, A dynamical point of view on the set of B-free integers, Int. Math. Res. Notices 2015, no. 16, 7258-7286.
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• [10] S. Donoso, F. Durand, A. Maass and S. Petite, On automorphism groups of Toeplitz subshifts, arXiv:1701.00999 (2017).
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• [16] S. Kasjan, G. Keller and M. Lemańczyk, Dynamics of B-free sets: a view through the window, arXiv:1702.02375 (2017).
• [17] J. Kułaga-Przymus, M. Lemańczyk and B. Weiss, On invariant measures for B-free systems, Proc. London Math. Soc. (3) 110 (2015), 1435-1474.
• [18] M. K. Mentzen, Automorphisms of subshifts defined by B-free sets of integers, Colloq. Math. 147 (2017), 87-94.
• [19] R. Peckner, Uniqueness of the measure of maximal entropy for the squarefree flow, Israel J. Math. 210 (2015), 335-357.
• [20] P. Sarnak, Three lectures on the Möbius function, randomness and dynamics, http://publications.ias.edu/sarnak/.
• [21] S. Williams, Toeplitz minimal flows which are not uniquely ergodic, Z.Wahrsch. Verw. Gebiete 67 (1984), 95-107.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).

Identyfikatory

DOI

10.4064/ba8115-10-2017