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Box dimension for graphs of fractal functions

Published online by Cambridge University Press:  20 January 2009

Gavin Brown
Affiliation:
Office of Vice Chancellor, The University of Sydney, Sydney, NSW 2006, Australia E-mail addresses: [email protected]
Qinghe Yin
Affiliation:
Department of Pure Mathematics, The University of Adelaide, Adelaide, SA 5005, Australia E-mail addresses: [email protected]
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Abstract

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We calculate the box-dimension for a class of nowhere differentiable curves defined by Markov attractors of certain iterated function systems of affine maps.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

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