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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… 
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Related topics

Related topics

4 relations
Dimension functionFractal dimensionHausdorff dimensionMinkowski–Bouligand dimension

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2015
Highly Cited
2015
Mitigating emissions from pig and poultry housing facilities through air scrubbers and biofilters: State-of-the-art and perspectives
Highly Cited
2012
Highly Cited
2012
On self-similar sets with overlaps and inverse theorems for entropy in $\mathbb{R}^d$
We study self-similar sets and measures on $\mathbb{R}^{d}$. Assuming that the defining iterated function system $\Phi$ does not… 
2008
2008
Packing dimension of the range of a Lévy process
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
Computability and fractal dimension
This thesis combines computability theory and various notions of fractal dimension, mainly Hausdorff dimension. An algorithmic… 
2003
2003
Dimension Results for Sample Paths of Operator Stable Lévy Processes
2003
2003
The packing measure of the trajectories of multiparameter fractional Brownian motion
  • 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
Intrinsic Dimension Estimation Using Packing Numbers
We propose a new algorithm to estimate the intrinsic dimension of data sets. The method is based on geometric properties of the… 
2000
2000
Thin points for Brownian motion
1996
1996
Packing dimension, Hausdorff dimension and Cartesian product sets
  • 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
Packing Trees
  • J. GilA. Itai
  • Embedded Systems and Applications
  • 1995
  • Corpus ID: 33898396
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