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Fractal geometry of Bedford-McMullen carpets
- Publication Year :
- 2020
-
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.<br />Comment: 21 pages, 3 figures. Survey article written for the Proceedings of the Fall 2019 Jean-Morlet Chair programme, Springer Lecture Notes Series
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2008.10555
- Document Type :
- Working Paper