Convex sets and Harnack inequality
D. G. Keselman (1986)
Commentationes Mathematicae Universitatis Carolinae
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D. G. Keselman (1986)
Commentationes Mathematicae Universitatis Carolinae
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D. Edwards (1970)
Studia Mathematica
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Christoph Bandt, Mathias Mesing (2009)
Banach Center Publications
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In the class of self-affine sets on ℝⁿ we study a subclass for which the geometry is rather tractable. A type is a standardized position of two intersecting pieces. For a self-affine tiling, this can be identified with an edge or vertex type. We assume that the number of types is finite. We study the topology of such fractals and their boundary sets, and we show how new finite type fractals can be constructed. For finite type self-affine tiles in the plane we give an algorithm which...
Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Edwards, D. A.
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