Results 31 to 40 of about 135,586 (280)
Conformally Invariant Fractals and Potential Theory [PDF]
Physical Review Letters, 2000 5 pages, 1 ...
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The Continued Fraction Structure in Physical Fractal Theory
Fractal and FractionalThe objective of this study is to reveal the intrinsic connection between fractal operators in physical fractal spaces and continued fractions. The specific contributions include: (1) reviewing fundamental concepts of continued fractions and physical ...
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
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, 2016 The specific mechanisms which leads to the formation of fractal nanostructures by pulsed laser deposition remain elusive despite intense research efforts, motivated mainly by the technological interest in obtaining tailored nanostructures with simple and
Archetti, D. +5 more
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Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function [PDF]
, 2013 We survey some of the universality properties of the Riemann zeta function $\zeta(s)$ and then explain how to obtain a natural quantization of Voronin's universality theorem (and of its various extensions).
Herichi, Hafedh, Lapidus, Michel L.
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Counterexamples in theory of fractal dimension for fractal structures [PDF]
Chaos, Solitons & Fractals, 2016 Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. For this purpose, it is always used the box dimension, since it is easy to calculate, though the Hausdorff dimension, which is the oldest and also the most accurate fractal dimension, presents the best analytical properties.
M. Fernández-Martínez +2 more
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Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set
Fractal and Fractional, 2021 We present an analytic solvability of a class of Langevin differential equations (LDEs) in the asset of geometric function theory. The analytic solutions of the LDEs are presented by utilizing a special kind of fractal function in a complex domain ...
Rabha W. Ibrahim, Dumitru Baleanu
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Analogy between turbulence and quantum gravity: beyond Kolmogorov's 1941 theory
, 2011 Simple arguments based on the general properties of quantum fluctuations have been recently shown to imply that quantum fluctuations of spacetime obey the same scaling laws of the velocity fluctuations in a homogeneous incompressible turbulent flow, as ...
Frisch U. +5 more
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Research progress in design and characterization of porous materials based on fractal theory
Cailiao gongchengThe complexity of cavities， randomness of pore distribution， and multi-scale of pore size in porous materials make it difficult to quantitatively characterize pore microstructure.
XUE Xin +3 more
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Towards a More General Type of Univariate Constrained Interpolation With Fractal Splines
, 2015 Recently, in [Electronic Transaction on Numerical Analysis, 41 (2014), pp. 420-442] authors introduced a new class of rational cubic fractal interpolation functions with linear denominators via fractal perturbation of traditional nonrecursive rational ...
Chand, A. K. B. +2 more
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Robustness of the Fractal Regime for the Multiple-Scattering Structure Factor
, 2016 In the single-scattering theory of electromagnetic radiation, the {\it fractal regime} is a definite range in the photon momentum-transfer $q$, which is characterized by the scaling-law behavior of the structure factor: $S(q) \propto 1/q^{d_f}$.
Botet, Robert +2 more
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