Fractal geometry of Bedford-McMullen carpets
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Date
2021Author
Grant ID
EP/R015104/1
RPG-2019-034
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In 1984 Bedford and McMullen independently introduced a family of self-affine sets now known as 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.
Citation
Fraser , J M 2021 , Fractal geometry of Bedford-McMullen carpets . in M Pollicott & S Vaienti (eds) , Thermodynamic Formalism : CIRM Jean-Morlet Chair, Fall 2019 . Lecture Notes in Mathematics , vol. 2290 , Springer , pp. 495-516 , Thermodynamic Formalism , Marseille Luminy , France , 9/12/19 . https://doi.org/10.1007/978-3-030-74863-0_15 conference
Publication
Thermodynamic Formalism
ISSN
0075-8434Type
Conference item
Description
The author was supported by an EPSRC Standard Grant (EP/R015104/1) and a Leverhulme Trust Research Project Grant (RPG-2019-034).Collections
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