Fractal Geometry of Bedford-McMullen Carpets (Q5016448)

scientific article; zbMATH DE number 7444078

Language	Label	Description	Also known as
English	Fractal Geometry of Bedford-McMullen Carpets	scientific article; zbMATH DE number 7444078

Statements

instance of

scholarly article

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title

Fractal Geometry of Bedford-McMullen Carpets (English)

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author

Jonathan M. Fraser

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published in

Lecture Notes in Mathematics

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publication date

13 December 2021

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full work available at URL

https://arxiv.org/abs/2008.10555

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zbMATH Keywords

Bedford-McMullen carpet

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self-affine carpet

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self-affine set

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self-affine measure

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Hausdorff dimension

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box dimension

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Assouad dimension

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MaRDI profile type

MaRDI publication profile

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cites work

Dimension of invariant measures for affine iterated function systems

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Local entropy averages and projections of fractal measures

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Slicing theorems and rigidity phenomena for self‐affine carpets

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Self-embeddings of Bedford–McMullen carpets

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CP-chains and dimension preservation for projections of $(\times m,\times n)$-invariant Gibbs measures

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Local structure of self-affine sets

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Assouad dimension of planar self-affine sets

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Badly approximable points on self-affine sponges and the lower Assouad dimension

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Dimensions of Self-affine Sets: A Survey

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Q2872212

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Intermediate Dimensions: A Survey

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Intermediate dimensions

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A class of self-affine sets and self-affine measures

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Dimension of self-affine sets with holes

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The Hausdorff dimension of the projections of self-affine carpets

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Assouad Dimension and Fractal Geometry

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New dimension spectra: finer information on scaling and homogeneity

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Assouad-type spectra for some fractal families

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Multifractal analysis for Bedford–McMullen carpets

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Measures of full dimension on affine-invariant sets

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Assouad dimension of self-affine carpets

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Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

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The Hausdorff dimension of general Sierpiński carpets

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The packing measure of self-affine carpets

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On Furstenberg's intersection conjecture, self-similar measures, and the $L^q$ norms of convolutions

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A proof of Furstenberg's conjecture on the intersections of $\times p$- and $\times q$-invariant sets

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The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure

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On the Hausdorff dimension of some fractal sets

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Hausdorff dimension of the limit sets of some planar geometric constructions

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On the Ledrappier–Young formula for self-affine measures

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Hausdorff dimension of planar self-affine sets and measures

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Ledrappier-Young formula and exact dimensionality of self-affine measures

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Shrinking targets on Bedford-McMullen carpets

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Projection theorems for intermediate dimensions

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Sixty Years of Fractal Projections

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Scaling scenery of $(\times m, \times n)$ invariant measures

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On the packing dimension of box-like self-affine sets in the plane

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Assouad type dimensions and homogeneity of fractals

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Interpolating between dimensions

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Assouad type dimensions for self-affine sponges

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Q4024265

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Packing spectra for Bernoulli measures supported on Bedford–McMullen carpets

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Self-affine sets with fibred tangents

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On the quantization for self-affine measures on Bedford-McMullen carpets

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The singularity spectrum for general Sierpiński carpets

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Triangular Gatzouras–Lalley-type planar carpets with overlaps

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The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula

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The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension

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Q4328334

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Recent Progress on Dimensions of Projections

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A dimension result arising from the $L^q$-spectrum of a measure

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Self-affine multifractal Sierpiński sponges in $\mathbb{R}^d$

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The packing spectrum for Birkhoff averages on a self-affine repeller

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Projections of Self-Similar and Related Fractals: A Survey of Recent Developments

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Identifiers

zbMATH Open document ID

1483.28006

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DOI

10.1007/978-3-030-74863-0_15

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5016448