Results 31 to 40 of about 122,847 (179)
Maxwell’s Equations on Cantor Sets: A Local Fractional Approach
Advances in High Energy Physics, 2013 Maxwell’s equations on Cantor sets are derived from the local fractional vector calculus. It is shown that Maxwell’s equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields.
Yang Zhao +4 more
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Data block decomposition and intelligent secure acquisition of microdata
Scientific Reports, 2023 P-sets (P stands for Packet) is a set model with dynamic characteristics, which is obtained by introducing dynamic characteristics into Cantor set and improving Cantor set. According to the fact that the characteristics of class I big data are completely
Xiuquan Zhang, Lin Shen, Kaiquan Shi
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Journal of Approximation Theory, 2014 We give an example of Cantor type set for which its equilibrium measure and the corresponding Hausdorff measure are mutually absolutely continuous. Also we show that these two measures are regular in Stahl-Totik sense.
Alpan G., Goncharov, A.
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A mixing dynamical system on the cantor set
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we give mixing properties (ergodic, weak-mixng and strong-mixing) to a dynamical system on the Cantor set by showing that the one-sided (12,12)-shift map is isomorphic to a measure preserving transformation defined on the Cantor ...
Jeong H. Kim
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Generalized Differentiability of Continuous Functions
Fractal and Fractional, 2020 Many physical phenomena give rise to mathematical models in terms of fractal, non-differentiable functions. The paper introduces a broad generalization of the derivative in terms of the maximal modulus of continuity of the primitive function.
Dimiter Prodanov
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Diffusion on Middle-ξ Cantor Sets [PDF]
Entropy, 2018 In this paper, we study Cζ-calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological dimensions. Functions with fractal support are not differentiable or integrable in terms of standard calculus, so we must involve local fractional derivatives.
Alireza Khalili Golmankhaneh +3 more
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On the Fractal Langevin Equation
Fractal and Fractional, 2019 In this paper, fractal stochastic Langevin equations are suggested, providing a mathematical model for random walks on the middle- τ Cantor set.
Alireza Khalili Golmankhaneh
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Cantorvals as sets of subsums for a series connected with trigonometric functions
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We study properties of the set of subsums for convergent series k1 sin x + ... + km sin x + ... + k1 sin x[(n-1)/m+1] + ... + km sin x[(n-1)/m+1] + ...
Mykola Pratsiovytyi, Dmytro Karvatskyi
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About $C^{1}$-minimality of the hyperbolic Cantor sets
, 2014 In this work we prove that a $C^{1+\alpha}$-hyperbolic Cantor set contained in $S^1$, close to an affine Cantor set, is not $C^{1}$-minimal.Comment: Some changes were made in the introduction of the previous ...
Bordignon, Liane +2 more
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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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