Canonical self-affine tilings by iterated function systems
نویسندگان
چکیده
منابع مشابه
Canonical Self - Affine Tilings
An iterated function system Φ consisting of contractive affine mappings has a unique attractor F ⊆ R which is invariant under the action of the system, as was shown by Hutchinson [Hut]. This paper shows how the action of the function system naturally produces a tiling T of the convex hull of the attractor. These tiles form a collection of sets whose geometry is typically much simpler than that ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2007
ISSN: 0022-2518
DOI: 10.1512/iumj.2007.56.3220