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Tiling iterated function systems

Author

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  • Barnsley, Louisa F.
  • Barnsley, Michael F.
  • Vince, Andrew

Abstract

This paper presents a detailed symbolic approach to the study of self-similar tilings. It uses properties of addresses associated with graph-directed iterated function systems to establish conjugacy properties of tiling spaces. Tiles may be fractals and the tiled set maybe a complicated unbounded subset of RM.

Suggested Citation

  • Barnsley, Louisa F. & Barnsley, Michael F. & Vince, Andrew, 2024. "Tiling iterated function systems," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s096007792400359x
    DOI: 10.1016/j.chaos.2024.114807
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    References listed on IDEAS

    as
    1. Ivan Werner, 2005. "Contractive Markov System with Constant Probabilities," Journal of Theoretical Probability, Springer, vol. 18(2), pages 469-479, April.
    2. Bandt, Christoph & Barnsley, Michael & Hegland, Markus & Vince, Andrew, 2016. "Old wine in fractal bottles I: Orthogonal expansions on self-referential spaces via fractal transformations," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 478-489.
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