• Title of article

    Connectedness of a class of planar self-affine tiles

  • Author/Authors

    Deng، نويسنده , , Qi-Rong and Lau، نويسنده , , Ka-sing، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2011
  • Pages
    8
  • From page
    493
  • To page
    500
  • Abstract
    We consider a class of planar self-affine tiles T that are generated by the lower triangular expanding matrices and the product-form digit sets. We give necessary and sufficient conditions for T to be connected and disk-like. Also for the disconnect case, we give a condition that enumerates the number of connected components of T.
  • Keywords
    connectedness , planar , Self-affine tiles
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2011
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1561891

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1561891