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Journal of Difference Equations and Applications Volume 16, 2010 - Issue 5-6: Dedicated to Robert L. Devaney on the Occasion of his 60th Birthday
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Original Articles

Sierpinski carpets as Julia sets for imaginary 3-circle inversions

Daniel M. Look Department of Mathematics, Computer Science and Statistics, St. Lawrence University, Canton, NY, 13617, USACorrespondence[email protected]
Pages 705-713 | Received 17 Jul 2009, Accepted 23 Jul 2009, Published online: 21 May 2010
 
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Abstract

The dynamics of the map

is investigated for . This map is derived from multiple geometric circle inversions. Conditions are given for Cantor set and Sierpinski curve Julia sets for this family.

AMS Subject Classification::

Acknowledgements

The author would like to thank Jason L. Carney, an undergraduate mathematics and computer science major at the Indiana University of Pennsylvania, for his aid with the generation of the Julia sets pictured in this work. The author is extremely grateful to the referee for the numerous helpful comments regarding the original version of this paper.

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