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arXiv · 1110.4680

Fractal Homeomorphism for Bi-affine Iterated Function Systems

Michael Barnsley·Andrew Vince
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Abstract

The paper concerns fractal homeomorphism between the attractors of two bi-affine iterated function systems. After a general discussion of bi-affine functions, conditions are provided under which a bi-affine iterated function system is contractive, thus guaranteeing an attractor. After a general discussion of fractal homeomorphism, fractal homeomorphisms are constructed for a specific type of bi-affine iterated function system.

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Michael Barnsley, Andrew Vince. 2011-10-21. Fractal Homeomorphism for Bi-affine Iterated Function Systems. https://arxiv.org/abs/1110.4680

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