Hausdorff dimension

Known as: Capacity dimension, Hausdorff–Besicovitch dimension, Besicovitch - Hausdorff dimension 
Hausdorff dimension is a concept in mathematics introduced in 1918 by mathematician Felix Hausdorff, and it serves as a measure of the local size of… (More)
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Topic mentions per year

Topic mentions per year

1961-2017
020040019612017

Papers overview

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2012
2012
We refer to R as a general Sierpίήski carpet, after Mandelbrot [4], since Sierpiήski's universal curve is a special case of this… (More)
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2012
2012
It is shown that for every ε ∈ (0, 1), every compact metric space (X, d) has a compact subset S ⊆ X that embeds into an… (More)
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2004
2004
We use the recently-developed multiparameter theory of additive Lévy processes to establish novel connections between an… (More)
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Highly Cited
2001
Highly Cited
2001
Lutz [7] has recently developed a constructive version of Hausdorff dimension, using it to assign to every sequence A ∈ C a… (More)
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Highly Cited
2001
Highly Cited
2001
The localization of human faces in digital images is a fundamental step in the process of face recognition. This paper presents a… (More)
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2001
2001
We study the quantitative behavior of Poincaré recurrence. In particular, for an equilibrium measure on a locally maximal… (More)
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2001
2001
In this paper we investigate effective versions of Hausdorff dimension which have been recently introduced by Lutz. We focus on… (More)
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Highly Cited
1999
Highly Cited
1999
In this paper we prove that if M is a compact, hyperbolizable 3manifold, which is not a handlebody, then the Hausdorff dimension… (More)
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1999
1999
The best possible lower bound for the Hausdorff dimension of the set of v-approximable points on a C extremal manifold is… (More)
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Highly Cited
1993
Highly Cited
1993
Absfmct-The Hausdorffdistance measures the extent to which each point of a “model” set lies near some point of an “image” set and… (More)
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