Mean dimension and a sharp embedding theorem: Extensions of aperiodic subshifts

Yonatan Gutman, Masaki Tsukamoto

Research output: Contribution to journal › Article

10 Citations (Scopus)

Abstract

We show that if (X, T) is an extension of an aperiodic subshift (a subsystem of ({ 1, 2, ⋯, l}Z, shift ) for some l∈ N) and has mean dimension mdim (X, T)< (D/ 2), D∈ N, then it can be equivariantly embedded in [0, 1]D)Z, shift ). The result is sharp. If (X, T) is an extension of an aperiodic zero-dimensional system then it can be equivariantly embedded in [0, 1] D+ 1)Z, shift).

Original languageEnglish
Pages (from-to)1888-1896
Number of pages9
JournalErgodic Theory and Dynamical Systems
Volume34
Issue number6
DOIs
Publication statusPublished - Apr 3 2013

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Subshift
Embedding Theorem
Zero-dimensional
Subsystem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Mean dimension and a sharp embedding theorem : Extensions of aperiodic subshifts. / Gutman, Yonatan; Tsukamoto, Masaki.

In: Ergodic Theory and Dynamical Systems, Vol. 34, No. 6, 03.04.2013, p. 1888-1896.

Research output: Contribution to journal › Article

Gutman, Y & Tsukamoto, M 2013, 'Mean dimension and a sharp embedding theorem: Extensions of aperiodic subshifts', Ergodic Theory and Dynamical Systems, vol. 34, no. 6, pp. 1888-1896. https://doi.org/10.1017/etds.2013.30
Gutman Y, Tsukamoto M. Mean dimension and a sharp embedding theorem: Extensions of aperiodic subshifts. Ergodic Theory and Dynamical Systems. 2013 Apr 3;34(6):1888-1896. https://doi.org/10.1017/etds.2013.30
Gutman, Yonatan ; Tsukamoto, Masaki. / Mean dimension and a sharp embedding theorem : Extensions of aperiodic subshifts. In: Ergodic Theory and Dynamical Systems. 2013 ; Vol. 34, No. 6. pp. 1888-1896.
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