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Fractal transformations of harmonic functions

Barnsley, Michael; Freiberg, Uta

Description

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

CollectionsANU Research Publications
Date published: 2007
Type: Conference paper
URI: http://hdl.handle.net/1885/17661
Source: Proceedings of SPIE: Complexity and Nonlinear Dynamics Conference 2006
DOI: 10.1117/12.696052

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