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… (More)
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45 relations
Alexander horned sphereAnalysis on fractalsBernoulli schemeBinary tree
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Papers overview

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2015
2015
A TAME CANTOR SET
A Cantor set is a non-empty, compact subset of R that has neither interior nor isolated points. In this paper a Cantor set K ⊆ R… (More)
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2014
2014
LINEAR COMBINATIONS OF THE CLASSIC CANTOR SET
The sets of the form C + mC, where m ∈ (0, 1) and C is the classic Cantor ternary set, are described. 
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2011
2011
Hierarchical generalized Cantor set modulation
In this paper, we show that arbitrary hierarchical pulse amplitude modulation (PAM) schemes can be fully described by generalized… (More)
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2008
2008
Nonarchimedean Cantor set and string
We construct a nonarchimedean (or p-adic) analogue of the classical ternary Cantor set C. In particular, we show that this… (More)
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2007
2007
Resonance between Cantor sets
Let Ca be the central Cantor set obtained by removing a central interval of length 1 − 2a from the unit interval, and continuing… (More)
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2007
2007
DIMENSION FUNCTIONS OF CANTOR SETS
We estimate the packing measure of Cantor sets associated to nonincreasing sequences through their decay. This result, dual to… (More)
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2004
2004
GENUS OF A CANTOR SET
We define a genus of a Cantor set as the minimal number of the maximal number of handles over all possible defining sequences for… (More)
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2003
2003
TILING SPACES ARE CANTOR SET FIBER BUNDLES
We prove that fairly general spaces of tilings of R are fiber bundles over the torus T , with totally disconnected fiber. In fact… (More)
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2003
2003
The universal minimal system for the group of homeomorphisms of the Cantor set
Each topological group G admits a unique universal minimal dynamical system (M(G), G). For a locally compact noncompact group… (More)
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1995
1995
The Cantor Set
The papers [13], [16], [15], [9], [17], [2], [3], [6], [14], [12], [10], [5], [4], [1], [7], [11], and [8] provide the… (More)
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