Packing measure of super separated iterated function systems

Reid, James Edward

doi:10.1007/s10711-018-0324-7

Geom Dedicata

2018

DOI: 10.1007/s10711-018-0324-7

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Packing measure of super separated iterated function systems

James Edward Reid

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Cited by 2 publications

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The Centered Hausdorff Measure of the Sierpiński Gasket

LLORENTE,

MERA,

MORÁN

2023

Fractals

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We show that the centered Hausdorff measure, [Formula: see text] with [Formula: see text] of the Sierpiński gasket [Formula: see text], is [Formula: see text]-computable (continuous-computable), in the sense that its value is the solution of the minimization problem of a continuous function on a compact domain. We also show that [Formula: see text] is [Formula: see text]-computable (algorithmic-computable) in the sense that there is an algorithm that converges to [Formula: see text], with explicit error bounds. Using this algorithm we show that [Formula: see text]1.0049.

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The Centered Hausdorff Measure of the Sierpiński Gasket

LLORENTE,

MERA,

MORÁN

2023

Fractals

View full text Add to dashboard Cite

show abstract

On the Centered Hausdorff Measure of the Sierpinski Gasket

Llorente¹,

Mera²,

Morán

2021

SSRN Journal

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Packing measure of super separated iterated function systems

Cited by 2 publications

References 13 publications

The Centered Hausdorff Measure of the Sierpiński Gasket

The Centered Hausdorff Measure of the Sierpiński Gasket

On the Centered Hausdorff Measure of the Sierpinski Gasket

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