Self-affine multifractal Sierpinski sponges in Rd

Lars Ole Ronnow Olsen

doi:10.2140/pjm.1998.183.143

Self-affine multifractal Sierpinski sponges in Rd

Lars Ole Ronnow Olsen

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study self-affine multifractals in R-d using the formalism introduced in [Olsen, A multifractal formalism, Advances in Mathematics, 116 (1996), 82-196]. We prove that new multifractal phenomena, not exhibited by self-similar multifractals in R-d, appear in the self-affine case.

Original language	English
Pages (from-to)	143-200
Number of pages	57
Journal	Pacific Journal of Mathematics
Volume	183
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1998.183.143
Publication status	Published - Mar 1998

Keywords

HAUSDORFF DIMENSION
STRANGE ATTRACTORS
PACKING MEASURE
FRACTALS
CARPETS
DECOMPOSITIONS
DEFINITIONS
SPECTRUM
SETS

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abstract = "We study self-affine multifractals in R-d using the formalism introduced in [Olsen, A multifractal formalism, Advances in Mathematics, 116 (1996), 82-196]. We prove that new multifractal phenomena, not exhibited by self-similar multifractals in R-d, appear in the self-affine case.",

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KW - HAUSDORFF DIMENSION

KW - STRANGE ATTRACTORS

KW - PACKING MEASURE

KW - FRACTALS

KW - CARPETS

KW - DECOMPOSITIONS

KW - DEFINITIONS

KW - SPECTRUM

KW - SETS

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JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

ER -

Self-affine multifractal Sierpinski sponges in Rd

Abstract

Keywords

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