Results 61 to 70 of about 12,741 (164)
A Note on the Shift on the Cantor Set [PDF]
Let O ( x ) O(x)
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Dynamical System on Cantor Set
This paper is devoted to the Cantor sets generated by piecewise \(C^{1+\gamma}\) transformations \((\gamma> 0)\). Here, the author considers only Markov cases. Non-Markov cases will be treated in forthcoming paper. The author describes dynamical systems on Cantor set using in particular symbolic approach.
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Characterization of the macro-Cantor set up to coarse equivalence
We characterize metric spaces that are coarsely equivalent to themacro-Cantor set $2^{
Zarichnyi I.M.
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On G-transitive version of perfectly meager sets [PDF]
We study the G-invariant version of perfectly meager sets (a generalization of the notion of AFC sets). We find the necessary and sufficient conditions for the inclusion AFC'G ⊆ I.
Nowik Andrzej
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It is possible that Georg Cantor and Walter Christaller may have been aware of one another during their careers, however, there is no indication the two collaborated.
Morris E Scott
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Multifractality and intermittency in the solar wind [PDF]
Within the complex dynamics of the solar wind's fluctuating plasma parameters, there is a detectable, hidden order described by a chaotic strange attractor which has a multifractal structure.
W. M. Macek
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We perform a comparison between the fractional iteration and decomposition methods applied to the wave equation on Cantor set. The operators are taken in the local sense.
Dumitru Baleanu +4 more
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One of the puzzling properties of the classical Cantor set \(C\subset [0,1]\) is the fact that \(C+C=[0,2]\). This paper generalizes this property for results of more general constructions of Cantor sets, when given two real numbers ...
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ON DIFFEOMORPHIC ACTIONS ON CANTOR SETS
This paper deals with the geometry of fractal sets. More precisely, the author describes some groups of diffeomorphisms of the standard Cantor set \(C_1\subset\mathbb{R}\) obtained by decomposition of the interval \((0,1)\) into \(2q-1\) equal components.
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