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  • Cited by 2
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Boyle, Mike and Schraudner, Michael 2009. shifts of finite type without equal entropy full shift factors. Journal of Difference Equations and Applications, Vol. 15, Issue. 1, p. 47.

    Hochman, Michael 2009. On the dynamics and recursive properties of multidimensional symbolic systems. Inventiones mathematicae, Vol. 176, Issue. 1, p. 131.


Factoring higher-dimensional shifts of finite type onto the full shift

  • DOI:
  • Published online: 01 May 2005

A one-dimensional shift of finite type $(X, \mathbb Z)$ with entropy at least log n factors onto the full n-shift. The factor map is constructed by exploiting the fact that X, or a subshift of X, is conjugate to a shift of finite type in which every symbol can be followed by at least n symbols. We will investigate analogous statements for higher-dimensional shifts of finite type. We will also show that for a certain class of mixing higher-dimensional shifts of finite type, sufficient entropy implies that $(X,\mathbb Z^d )$ is finitely equivalent to a shift of finite type that maps onto the full n-shift.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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