Assouad dimension of self-affine carpets

John M Mackay

doi:10.1090/S1088-4173-2011-00232-3

Assouad dimension of self-affine carpets

John M Mackay

Research output: Contribution to journal › Article (Academic Journal) › peer-review

57 Citations (Scopus)

Abstract

We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen, and of Lalley and Gatzouras. We also calculate the conformal Assouad dimension of those carpets that are not self-similar.

Original language	English
Pages (from-to)	177-187
Number of pages	11
Journal	Conformal Geometry and Dynamics
Volume	15
DOIs	https://doi.org/10.1090/S1088-4173-2011-00232-3
Publication status	Published - 2011

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http://www.ams.org/journals/ecgd/2011-15-12/S1088-4173-2011-00232-3/

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title = "Assouad dimension of self-affine carpets",

abstract = "We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen, and of Lalley and Gatzouras. We also calculate the conformal Assouad dimension of those carpets that are not self-similar. ",

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doi = "10.1090/S1088-4173-2011-00232-3",

language = "English",

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AU - Mackay, John M

PY - 2011

Y1 - 2011

N2 - We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen, and of Lalley and Gatzouras. We also calculate the conformal Assouad dimension of those carpets that are not self-similar.

AB - We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen, and of Lalley and Gatzouras. We also calculate the conformal Assouad dimension of those carpets that are not self-similar.

U2 - 10.1090/S1088-4173-2011-00232-3

DO - 10.1090/S1088-4173-2011-00232-3

M3 - Article (Academic Journal)

SN - 1088-4173

VL - 15

SP - 177

EP - 187

JO - Conformal Geometry and Dynamics

JF - Conformal Geometry and Dynamics

ER -

Assouad dimension of self-affine carpets

Abstract

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