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arxiv: 1005.1375 · v2 · pith:W7XPBZVXnew · submitted 2010-05-09 · 🧮 math.MG

Functions of Substitution Tilings as a Jacobian

classification 🧮 math.MG
keywords jacobiantilingbilipschitzdefinedfunctionfunctionsholdshomeomorphism
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In this paper we show that the function defined by a primitive, star shaped substitu- tion tiling of the plane, can be realized as a Jacobian of a biLipschitz homeomorphism of R^2. In particular it holds for any Penrose tiling.

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