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# 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…
Wikipedia

## Papers overview

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Highly Cited
2015
Highly Cited
2015
• 2015
• Corpus ID: 55322698
The global intensification of livestock production resulted in potentially higher emissions of ammonia, odour, particulate matter…
Highly Cited
2014
Highly Cited
2014
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…
1999
1999
• 1999
• Corpus ID: 25376493
LetK be a compact subset ofR n ,0 6 s6 n. LetP s 0 ,P s denotes-dimensional packing premeasure and measure, respectively. We…
1996
1996
We show that the dimension adim introduced by R. Kaufman (1987) coincides with the packing dimension Dim, but the dimension aDim…
1995
1995
• ESA
• 1995
• Corpus ID: 33898396
Highly Cited
1990
Highly Cited
1990
• Comb.
• 1990
• Corpus ID: 46202896
The combination of divide-and-conquer and random sampling has proven very effective in the design of fast geometric algorithms. A…