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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 function
Fractal dimension
Hausdorff dimension
Minkowski–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
Caroline Van der Heyden
,
P. Demeyer
,
E. Volcke
2015
Corpus ID: 55322698
Highly Cited
2012
Highly Cited
2012
On self-similar sets with overlaps and inverse theorems for entropy in $\mathbb{R}^d$
M. Hochman
2012
Corpus ID: 54735392
We study self-similar sets and measures on $\mathbb{R}^{d}$. Assuming that the defining iterated function system $\Phi$ does not…
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2008
2008
Packing dimension of the range of a Lévy process
D. Khoshnevisan
,
Yimin Xiao
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…
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Review
2004
Review
2004
Computability and fractal dimension
Jan Reimann
2004
Corpus ID: 7157857
This thesis combines computability theory and various notions of fractal dimension, mainly Hausdorff dimension. An algorithmic…
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2003
2003
Dimension Results for Sample Paths of Operator Stable Lévy Processes
M. Meerschaert
,
Yimin Xiao
2003
Corpus ID: 12022287
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…
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Highly Cited
2002
Highly Cited
2002
Intrinsic Dimension Estimation Using Packing Numbers
B. Kégl
NIPS
2002
Corpus ID: 6008434
We propose a new algorithm to estimate the intrinsic dimension of data sets. The method is based on geometric properties of the…
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2000
2000
Thin points for Brownian motion
A. Dembo
,
Y. Peres
,
J. Rosen
,
O. Zeitouni
2000
Corpus ID: 49574042
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…
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1995
1995
Packing Trees
J. Gil
,
A. Itai
Embedded Systems and Applications
1995
Corpus ID: 33898396
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