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• W2104565789 abstract "Suppose that the set [Formula: see text] of real n × n matrices has joint spectral radius less than 1. Then for any digit set D = {d 1 , …, d q } ⊂ ℝ n , there exists a unique non-empty compact set [Formula: see text] satisfying [Formula: see text], which is typically a fractal set. We use the infinite digit expansions of the points of F to give simple necessary and sufficient conditions for the convex hull of F to be a polytope. Additionally, we present a technique to determine the vertices of such polytopes. These answer some of the related questions of Strichartz and Wang, and also enable us to approximate the Lebesgue measure of such self-affine sets. To show the use of our results, we also give several examples including the Levy dragon and the Heighway dragon." @default.
• W2104565789 created "2016-06-24" @default.
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• W2104565789 date "2010-12-01" @default.
• W2104565789 modified "2023-09-27" @default.
• W2104565789 title "REMARKS ON SELF-AFFINE FRACTALS WITH POLYTOPE CONVEX HULLS" @default.
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• W2104565789 doi "https://doi.org/10.1142/s0218348x1000510x" @default.
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