On Refinable Sets
Dai, Xin-Rong ; Wang, Yang
Methods Appl. Anal., Tome 14 (2007) no. 1, p. 165-178 / Harvested from Project Euclid
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A refinable set is a compact set with positive Lebesgue measure whose characteristic function satisfies a refinement equation. Refinable sets are a generalization of self-affine tiles. But unlike the latter, the refinement equations defining refinable sets may have negative coefficients, and a refinable set may not tile. In this paper, we establish some fundamental properties of these sets.
Publié le : 2007-06-15
Classification:  Hausdorff dimension,  self-similar set,  finite type condition,  28A78,  28A80 
@article{1215442821,
     author = {Dai, Xin-Rong and Wang, Yang},
     title = {On Refinable Sets},
     journal = {Methods Appl. Anal.},
     volume = {14},
     number = {1},
     year = {2007},
     pages = { 165-178},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1215442821}
}

Dai, Xin-Rong; Wang, Yang. On Refinable Sets. Methods Appl. Anal., Tome 14 (2007) no. 1, pp.  165-178. http://gdmltest.u-ga.fr/item/1215442821/