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Minkowski–Bouligand dimension
Known as:
Kolmogorov dimension
, Box counting dimension
, Minkowski
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In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the…
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Related topics
Related topics
12 relations
Box counting
Cantor set
Coastline paradox
Complex network zeta function
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Assessment of Textural Differentiations in Forest Resources in Romania Using Fractal Analysis
Ion Andronache
,
R. Fensholt
,
+10 authors
B. Sinsin
2017
Corpus ID: 18646245
Deforestation and forest degradation have several negative effects on the environment including a loss of species habitats…
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2015
2015
EFFECTS OF CIRCULAR CORNERS AND ASPECT-RATIO ON ENTROPY GENERATION DUE TO NATURAL CONVECTION OF NANOFLUID FLOWS IN RECTANGULAR CAVITIES
M. Salari
,
A. Mohammadtabar
,
M. Mohammadtabar
2015
Corpus ID: 56246377
In this paper, entropy generation induced by natural convection of cu-water nanofluid in rectangular cavities with different…
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2014
2014
Free Entropy Dimension and Atoms
D. Shlyakhtenko
2014
Corpus ID: 116432652
We show that the spectral measure of any non-commutative polynomial of a non-commutative $n$-tuple cannot have atoms if the free…
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2010
2010
On the Minkowski measurability of self-similar fractals in R^d
A. Deniz
,
S. Koçak
,
Yunus Ozdemir
,
A. Ratiu
,
A. E. Ureyen
Turkish Journal of Mathematics
2010
Corpus ID: 73558830
M. Lapidus and C. Pomerance (1990-1993) and K.J. Falconer (1995) proved that a self-similar fractal in $\mathbb{R}$ is Minkowski…
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2007
2007
Identifying stochastic basin hopping by partitioning with graph modularity
N. Santitissadeekorn
,
E. Bollt
2007
Corpus ID: 18131826
2004
2004
The temporal variations of PM10 concentration in Taipei: a fractal approach
Ding-Shun Ho
,
Lanin-Chuen Juang
,
+5 authors
C. Yu
2004
Corpus ID: 18915518
A one-year series of hourly average PM10 observations, which was obtained from the urban and national park air monitoring station…
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Review
2001
Review
2001
The Finite Field Kakeya Problem
K. Rogers
The American mathematical monthly
2001
Corpus ID: 8585312
Surprisingly there exist figures with arbitrarily small area that fulfill Kakeya's conditions. This was discovered soon after A…
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Highly Cited
1998
Highly Cited
1998
Ergodic properties of the Erdös measure, the entropy of the goldenshift, and related problems
N. Sidorov
,
A. Vershik
1998
Corpus ID: 14748648
AbstractWe define a two-sided analog of the Erdös measure on the space of two-sided expansions with respect to the powers of the…
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1997
1997
Modified Fractal Signature (MFS): A New Approach to Document Analysis for Automatic Knowledge Acquisition
Y. Tang
,
Hong Ma
,
Dihua Xi
,
Xiaogang Mao
,
C. Suen
IEEE Transactions on Knowledge and Data…
1997
Corpus ID: 10462540
One of the key technologies related to knowledge and data engineering is the acquisition of knowledge and data in the development…
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1997
1997
ON COEFFICIENTS, BOUNDARY SIZE AND H ¨ OLDER DOMAINS
N. Makarov
,
C. Pommerenke
1997
Corpus ID: 62816256
Let �(z) = P anz n map the unit disk onto a bounded plane domain. Then (�) an = O(n −1+" ) for every " > 0, where is an unknown…
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