Fractal transformations of harmonic functions
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Barnsley, Michael
Freiberg, Uta
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SPIE - The International Society for Optical Engineering
Abstract
The theory of fractal homeomorphisms is applied to transform a Sierpinski triangle into what we call a Kigami triangle. The latter is such that the corresponding harmonic functions and the corresponding Laplacian Δ take a relatively simple form. This pro
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Proceedings of SPIE: Complexity and Nonlinear Dynamics Conference 2006
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2037-12-31