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arXiv:2008.10555 [math.DS]AbstractReferencesReviewsResources

Fractal geometry of Bedford-McMullen carpets

Jonathan M. Fraser

Published 2020-08-24Version 1

In 1984 Bedford and McMullen independently introduced a family of self-affine sets now known as \emph{Bedford-McMullen carpets}. Their work stimulated a lot of research in the areas of fractal geometry and non-conformal dynamics. In this survey article we discuss some aspects of Bedford-McMullen carpets, focusing mostly on dimension theory.

Comments: 21 pages, 3 figures. Survey article written for the Proceedings of the Fall 2019 Jean-Morlet Chair programme, Springer Lecture Notes Series
Categories: math.DS, math.CA, math.MG
Subjects: 28A80, 28A78
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