FAQ

Minkowski–Bouligand dimension

Known as: Kolmogorov dimension, Box counting dimension, Box dimension 
In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the… (More)
Wikipedia

Topic mentions per year

Topic mentions per year

1993-2017
0204019932017

Related topics

Related topics

11 relations
Box countingCantor setComplex network zeta functionCorrelation dimension
(More)

Related mentions per year

Related mentions per year

1951-2018
1960198020002020
Minkowski–Bouligand dimension
Entropy
Fractal dimension
Hausdorff dimension
Correlation dimension
Cantor set

Papers overview

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2014
2014
Pattern identification of surface flashover induced by discrete water droplets on polymer insulator
The formation of water droplets and the triggered surface discharge have been considered as one of essential stages during the… (More)
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2013
2013
An Improved Cognitive Radio Spectrum Sensing Algorithm
To improve the cognitive radio user’s detection performance and reduce the complexity, this paper composites the Fractal box… (More)
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2009
2009
Modification of fractal algorithm for oil spill detection from RADARSAT-1 SAR data
This paper introduces amodified formula for the fractal box counting dimension. Themethod is based on utilization of the… (More)
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2008
2008
The Free Entropy Dimension of Hyperfinite Von Neumann Algebras
ABSTRACT. Suppose M is a hyperfinite von Neumann algebra with a tracial state φ and {a1, . . . , an} is a set of self-adjoint… (More)
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2007
2007
Sub-riemannian vs. Euclidean Dimension Comparison and Fractal Geometry on Carnot Groups
We solve Gromov’s dimension comparison problem for Hausdorff and box counting dimension on Carnot groups equipped with a Carnot… (More)
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2002
2002
Bouligand Dimension and Almost Lipschitz Embeddings
In this paper we present some new properties of the metric dimension defined by Bouligand in 1928 and prove the following new… (More)
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2000
2000
Fractal Models in Architecture: a Case of Study
The word "fractal" was coined by Benoit Mandelbrot in the late 1970's, but object now defined as fractal in form have been known… (More)
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Highly Cited
1999
Highly Cited
1999
Estimating crowd density with Minkowski fractal dimension
The estimation of the number of people in an area under surveillance is very important for the problem of crowd monitoring. When… (More)
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Highly Cited
1999
Highly Cited
1999
Probability on Trees: An Introductory Climb
2 1 Preface These notes are based on Lectures delivered at the Saint Flour Summer School in July 1997. Accurate notes were taken… (More)
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1998
1998
Porosity of Collet–Eckmann Julia sets
  • Feliks Przytycki
  • 1998
We prove that the Julia set of a rational map of the Riemann sphere satisfying the Collet–Eckmann condition and having no… (More)
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