Results 41 to 50 of about 9,626 (263)
Fractional Perimeters from a Fractal Perspective
Advanced Nonlinear Studies, 2019 The purpose of this paper consists in a better understanding of the fractional nature of the nonlocal perimeters introduced in [L. Caffarelli, J.-M. Roquejoffre and O. Savin, Nonlocal minimal surfaces, Comm. Pure Appl. Math.
Lombardini Luca
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Magnesium‐Based Transient Bioelectronics, Bio‐Optics and Bio‐Scaffolds
Advanced Functional Materials, EarlyView.This paper reviews the state of the art and recent advances in magnesium‐based thin‐film, foils, and scaffolds for applications in transient bio‐optics, bioelectronics and tissue engineering. The design principles, fabrication methods, material properties, and integration strategies are discussed in detail.
Massimo Mariello, Yves Leterrier
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Quasisymmetric Minimality on Packing Dimension for Homogeneous Perfect Sets
AxiomsThe quasisymmetric minimality for fractal sets is a hot research topic for scholars focused on the fractal geometry and quasisymmetric mappings. In this paper, we study the quasisymmetric minimality on packing dimension for homogeneous perfect sets.
Shishuang Liu, Yanzhe Li, Jiaojiao Yang
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A Multi-Spectral Fractal Image Model and Its Associated Fractal Dimension Estimator
Fractal and Fractional, 2023 We propose both a probabilistic fractal model and fractal dimension estimator for multi-spectral images. The model is based on the widely known fractional Brownian motion fractal model, which is extended to the case of images with multiple spectral bands.
Mihai Ivanovici
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Manuscripta Mathematica, 1991 The authors remark that the Calculus of Variations and Geometric Measure Theory does not seem to have an easy extension to fractal problems. Their aim is to give a contribution to the problem defining lower semicontinuous functionals. They consider the following special case: Let \(V_ 0\) be an equilateral triangle of side length 1 with center in 0 ...
D'Ancona, Piero, Braides, Andrea
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Biomimetic Microfractals Based Flexible Triboelectric Nanogenerators
Advanced Functional Materials, EarlyView.A leaf‐skeleton‐based microfractal architecture is integrated with guided CuNW networks and biomimetic triboelectric polymer layers, enabling breathable, flexible, and material‐efficient triboelectric nanogenerators. The resulting system combines enhanced charge generation and charge transport, offering potential for next‐generation self‐powered ...
Amit Barua +7 more
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New Approach to Fractal Approximation of Vector-Functions
Abstract and Applied Analysis, 2015 This paper introduces new approach to approximation of continuous vector-functions and vector sequences by fractal interpolation vector-functions which are multidimensional generalization of fractal interpolation functions.
Konstantin Igudesman +2 more
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Approximations of fractal sets
Journal of Computational and Applied Mathematics, 1990 Five algorithms are presented for the approximation of fractal sets. The first three were proposed by Williams, Hutchison and Barnsley Demko. The latter two by the authors, one of which is a graphics algorithm. Error estimates are made for all the algorithms and numerical comparisons are done using classical examples of attractors in the plane.
Dubuc, Serge, Elqortobi, Abdelkader
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Advanced Functional Materials, EarlyView.A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao +6 more
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Fractal Interpolation Using Harmonic Functions on the Koch Curve
Fractal and Fractional, 2021 The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve.
Song-Il Ri +2 more
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