Results 61 to 70 of about 6,885,149 (320)
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
doaj +1 more source
Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems
, 2015 The fast basin of an attractor of an iterated function system (IFS) is the set of points in the domain of the IFS whose orbits under the associated semigroup intersect the attractor.
Barnsley, Michael F., Vince, Andrew
core +1 more source
Non-Differentiable Exact Solutions for the Nonlinear ODEs Defined on Fractal Sets
, 2017 In the present paper, a family of the special functions via the celebrated Mittag–Leffler function defined on the Cantor sets is investigated. The nonlinear local fractional ODEs (NLFODEs) are presented by following the rules of local fractional ...
Xiao-jun Yang +3 more
semanticscholar +1 more source
On polynomial configurations in fractal sets [PDF]
, 2015 We show that subsets of $\mathbb{R}^n$ of large enough Hausdorff and Fourier dimension contain polynomial patterns of the form \begin{align*} ( x ,\, x + A_1 y ,\, \dots,\, x + A_{k-1} y ,\, x + A_k y + Q(y) e_n ), \quad x \in \mathbb{R}^n,\ y \in ...
Kevin Henriot, I. Laba, M. Pramanik
semanticscholar +1 more source
Classifying Cantor sets by their fractal dimensions [PDF]
Proceedings of the American Mathematical Society, 2010 10 pages, revised version. To appear in Proceedings of the AMS.
Cabrelli, Carlos +2 more
openaire +4 more sources
Advanced Materials, EarlyView.The water permeability of amorphous carbon dots (CDs) is demonstrated by investigating their plasticization. Novel polyamide‐based and amorphous nanoparticles are synthesized by controlling their inner packing density. Water plasticization is evidenced by the decrease of the CDs glass transition temperature with increasing the hydration degree.
Elisa Sturabotti +8 more
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
NONLINEAR MEAN-VALUE FORMULAS ON FRACTAL SETS [PDF]
Fractals, 2018 In this paper we study the solutions to nonlinear mean-value formulas on fractal sets. We focus on the mean-value problem [Formula: see text] in the Sierpiński gasket with prescribed values [Formula: see text], [Formula: see text] and [Formula: see text] at the three vertices of the first triangle.
J. C. NAVARRO, J. D. ROSSI
openaire +2 more sources
Advanced Materials Technologies, EarlyView.This critical review presents a comprehensive roadmap for the precision 3D printing of cellulose. Quantitative correlations link ink formulation and rheological properties to print fidelity and final material performance. This framework guides the development of advanced functional materials, from biomedical scaffolds to electromagnetic shielding ...
Majed Amini +3 more
wiley +1 more source