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Cantor set

Known as: Cantor Discontinuum, Cantor ternary set, Cantor's fractal set 
In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of remarkable and deep properties. It was… 
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Related topics

Related topics

45 relations
Alexander horned sphereAnalysis on fractalsBernoulli schemeBinary tree

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Cantor Set Arithmetic
Abstract Every element u of can be written in the form , where x, y are elements of the Cantor set C. In particular, every real… 
Highly Cited
2013
Highly Cited
2013
Local fractional series expansion method for solving wave and diffusion equations on Cantor sets
We proposed a local fractional series expansion method to solve the wave and diffusion equations on Cantor sets. Some examples… 
Review
2006
Review
2006
Incorporating molecular evolution into phylogenetic analysis, and a new compilation of conserved polymerase chain reaction primers for animal mitochondrial DNA
DNA data has been widely used in animal phylogenetic studies over the past 15 years. Here we review how these studies have used… 
Review
2004
Review
2004
A review of E infinity theory and the mass spectrum of high energy particle physics
Highly Cited
2004
Highly Cited
2004
Influence of dust storms on the aerosol optical properties over the Indo‐Gangetic basin
Rajasthan Province, which is covered by the Thar Desert. In this paper, we present the effects of the dust events on the aerosol… 
Highly Cited
2004
Highly Cited
2004
The Cassini Cosmic Dust Analyzer
The Cassini-Huygens Cosmic Dust Analyzer (CDA) is intended to provide direct observations of dust grains with masses between 10… 
Highly Cited
2004
Highly Cited
2004
Combinatorics of open covers (VIII)
Highly Cited
1999
Highly Cited
1999
Cantor sets and numbers with restricted partial quotients
. For j = 1 ,...,k let C j be a Cantor set constructed from the interval I j , and let (cid:15) j = ± 1. We derive conditions… 
Highly Cited
1996
Highly Cited
1996
Parabolic Cantor sets
The notion of a parabolic Cantor set is introduced allowing in the definition of hyperbolic Cantor sets some fixed points to have… 
Highly Cited
1992
Highly Cited
1992
Multifractal decompositions of Moran fractals
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