Results 31 to 40 of about 69,620 (237)
Characterization of the Local Growth of Two Cantor-Type Functions
Fractal and Fractional, 2019 The Cantor set and its homonymous function have been frequently utilized as examples for various physical phenomena occurring on discontinuous sets.
Dimiter Prodanov
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Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method
Abstract and Applied Analysis, 2014 The local fractional decomposition method is applied to approximate the solutions for Fokker-Planck equations on Cantor sets with local fractional derivative.
Shao-Hong Yan +4 more
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On the Exact Solution of Wave Equations on Cantor Sets
Entropy, 2015 The transfer of heat due to the emission of electromagnetic waves is called thermal radiations. In local fractional calculus, there are numerous contributions of scientists, like Mandelbrot, who described fractal geometry and its wide range of ...
Dumitru Baleanu +3 more
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Squeezing functions and Cantor sets [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2020 We construct "large" Cantor sets whose complements resemble the unit disk arbitrarily well from the point of view of the squeezing function, and we construct "large" Cantor sets whose complements do not resemble the unit disk from the point of view of the squeezing function.
Arosio, L +3 more
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Local Fractional Z-Transforms with Applications to Signals on Cantor Sets
Abstract and Applied Analysis, 2014 The Z-transform has played an important role in signal processing. In this paper the Z-transform has been generalized by the coupling of both the Z-transform and the local fractional complex calculus. In the literature the local fractional Z-transform is
Kai Liu +5 more
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Affine embeddings and intersections of Cantor sets [PDF]
, 2014 Let $E, F\subset \R^d$ be two self-similar sets. Under mild conditions, we show that $F$ can be $C^1$-embedded into $E$ if and only if it can be affinely embedded into $E$; furthermore if $F$ can not be affinely embedded into $E$, then the Hausdorff ...
Feng, De-Jun, Huang, Wen, Rao, Hui
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Mathematische Zeitschrift, 2016 We give sufficient conditions for two Cantor sets of the line to be nested for a positive set of translation parameters. This problem occurs in diophantine approximations. It also occurs as a toy model of the parameter selection for non-uniformly hyperbolic attractors of the plane. For natural Cantors sets, we show that this condition is optimal.
Berger, Pierre, Moreira, Carlos Gustavo
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When Cantor sets intersect thickly [PDF]
Transactions of the American Mathematical Society, 1993 The thickness of a Cantor set on the real line is a measurement of its "size". Thickness conditions have been used to guarantee that the intersection of two Cantor sets is nonempty. We present sharp conditions on the thicknesses of two Cantor sets which imply that their intersection contains a Cantor set of positive thickness.
Hunt, Brian R. +2 more
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On G-transitive version of perfectly meager sets [PDF]
Mathematica Moravica, 2020 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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Kakeya sets in Cantor directions [PDF]
Mathematical Research Letters, 2008 10 pages; Preliminary ...
Bateman, Michael D., Katz, Nets Hawk
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