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)
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Topic mentions per year

Topic mentions per year

1993-2017
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2014
2014
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
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
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
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
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
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
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
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
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
  • 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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