Back to Search Start Over

Fractal geometry of Bedford-McMullen carpets

Authors :
Fraser, Jonathan M.
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