Multifractal analysis for Bedford-McMullen carpets

TM Jordan; M Rams

doi:10.1017/S0305004110000472

Multifractal analysis for Bedford-McMullen carpets

TM Jordan, M Rams

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

26 Citations (Scopus)

Abstract

In this paper we compute the multifractal analysis for local dimensions of Bernoulli measures supported on the self-affine carpets introduced by Bedford–McMullen. This extends the work of King where the multifractal analysis is computed with strong additional separation assumptions.

Translated title of the contribution	Multifractal analysis for Bedford-McMullen carpets
Original language	English
Pages (from-to)	147 - 156
Number of pages	10
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	150, number 1
DOIs	https://doi.org/10.1017/S0305004110000472
Publication status	Published - Jan 2011

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Publisher: Cambridge University Press

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10.1017/S0305004110000472

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title = "Multifractal analysis for Bedford-McMullen carpets",

abstract = "In this paper we compute the multifractal analysis for local dimensions of Bernoulli measures supported on the self-affine carpets introduced by Bedford–McMullen. This extends the work of King where the multifractal analysis is computed with strong additional separation assumptions.",

author = "TM Jordan and M Rams",

note = "Publisher: Cambridge University Press",

year = "2011",

month = jan,

doi = "10.1017/S0305004110000472",

language = "English",

volume = "150, number 1",

pages = "147 -- 156",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

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AU - Rams, M

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N2 - In this paper we compute the multifractal analysis for local dimensions of Bernoulli measures supported on the self-affine carpets introduced by Bedford–McMullen. This extends the work of King where the multifractal analysis is computed with strong additional separation assumptions.

AB - In this paper we compute the multifractal analysis for local dimensions of Bernoulli measures supported on the self-affine carpets introduced by Bedford–McMullen. This extends the work of King where the multifractal analysis is computed with strong additional separation assumptions.

U2 - 10.1017/S0305004110000472

DO - 10.1017/S0305004110000472

M3 - Article (Academic Journal)

SN - 1469-8064

VL - 150, number 1

SP - 147

EP - 156

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

ER -

Multifractal analysis for Bedford-McMullen carpets

Abstract

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