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  • Cited by 7
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Sadun, Lorenzo 2016. Finitely balanced sequences and plasticity of 1-dimensional tilings. Topology and its Applications, Vol. 205, p. 82.


    ALISTE-PRIETO, JOSÉ 2010. Translation numbers for a class of maps on the dynamical systems arising from quasicrystals in the real line. Ergodic Theory and Dynamical Systems, Vol. 30, Issue. 02, p. 565.


    Cortez, María Isabel and Durand, Fabien 2008. Self-Similar Tiling Systems, Topological Factors and Stretching Factors. Discrete & Computational Geometry, Vol. 40, Issue. 4, p. 622.


    Frank, Natalie Priebe 2008. A primer of substitution tilings of the Euclidean plane. Expositiones Mathematicae, Vol. 26, Issue. 4, p. 295.


    Solomyak, B. 2007. Pseudo-self-affine tilings in ℝd. Journal of Mathematical Sciences, Vol. 140, Issue. 3, p. 452.


    Holton, Charles Radin, Charles and Sadun, Lorenzo 2005. Conjugacies for Tiling Dynamical Systems. Communications in Mathematical Physics, Vol. 254, Issue. 2, p. 343.


    Meester, Ronald and Steif, Jeffrey E. 2001. Higher-dimensional subshifts of finite type, factor maps and measures of maximal entropy. Pacific Journal of Mathematics, Vol. 200, Issue. 2, p. 497.


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  • Ergodic Theory and Dynamical Systems, Volume 21, Issue 4
  • August 2001, pp. 1239-1248

Isomorphism of hierarchical structures

  • CHARLES RADIN (a1) and LORENZO SADUN (a1)
  • DOI: http://dx.doi.org/10.1017/S0143385701001572
  • Published online: 01 August 2001
Abstract

We consider hierarchical structures such as Fibonacci sequences and Penrose tilings, and examine the consequences of different choices for the definition of isomorphism. In particular, we discuss the role such a choice plays with regard to matching rules for such structures.

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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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