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
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Copyright © 2021 the Author(s), under exclusive license to Springer Nature Switzerland AG. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1007/978-3-030-74863-0_15
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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