# Packing dimension

Known as: Dimension (disambiguation), Packing measure
In mathematics, the packing dimension is one of a number of concepts that can be used to define the dimension of a subset of a metric space. Packing…
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## Papers overview

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Highly Cited
2015
Highly Cited
2012
Highly Cited
2012
We study self-similar sets and measures on $\mathbb{R}^{d}$. Assuming that the defining iterated function system $\Phi$ does not…
2008
2008
• 2008
• Corpus ID: 21449317
Let {X(t)} t≥0 denote a Levy process in R d with exponent Ψ. Taylor (1986) proved that the packing dimension of the range X([0,1…
Review
2004
Review
2004
This thesis combines computability theory and various notions of fractal dimension, mainly Hausdorff dimension. An algorithmic…
2003
2003
• Yimin Xiao
• Mathematical Proceedings of the Cambridge…
• 2003
• Corpus ID: 20510877
Let $X\,{=}\,\{X(t), \ t \in {\R^N}\}$ be a multiparameter fractional Brownian motion of index $\alpha$ ($0< \alpha < 1$) in \$\R…
Highly Cited
2002
Highly Cited
2002
We propose a new algorithm to estimate the intrinsic dimension of data sets. The method is based on geometric properties of the…
2000
2000
• 2000
• Corpus ID: 49574042
1996
1996
• Yimin Xiao
• Mathematical Proceedings of the Cambridge…
• 1996
• Corpus ID: 18037616
Abstract We show that the dimension adim introduced by R. Kaufman (1987) coincides with the packing dimension Dim, but the…
1995
1995
• Embedded Systems and Applications
• 1995
• Corpus ID: 33898396