Fractal geometry of Bedford-McMullen carpets
arXiv:2008.10555
Abstract
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.
21 pages, 3 figures. Survey article written for the Proceedings of the Fall 2019 Jean-Morlet Chair programme, Springer Lecture Notes Series