Results 11 to 20 of about 123 (109)
Tangent measures of typical measures
, 2015 We prove that for a typical Radon measure μ in ℝd, every non-zero Radon measure is a tangent measure of μ at μ almost every point. This was already shown by T. O'Neil in his Ph.D. thesis from 1994, but we provide a different self-contained proof for this
Sahlsten, Tuomas
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Graph-directed random fractal interpolation function [PDF]
, 2021 Barnsley introduced in [1] the notion of fractal interpolation function (FIF). He said that a fractal function is a (FIF) if it possess some interpolation properties.
SOÓS, Anna, SOMOGYI, Ildikó
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Eikonal equations on the Sierpinski gasket [PDF]
, 2014 We study the eikonal equation on the Sierpinski gasket in the spirit of the construction of the Laplacian in Kigami [8]: we consider graph eikonal equations on the prefractals and we show that the solutions of these problems converge to a function ...
Capitanelli, Raffaela +5 more
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On harmonic functions on trees [PDF]
, 2001 46 pages, no figures.-- MSC2000 codes: 28A80, 31B05, 31B25.MR#: MR1837265 (2002h:31011)Zbl#: Zbl 1008.31006We study the asymptotic behaviour of harmonic and p-harmonic functions ...
Pestana, Domingo +3 more
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Cyclic weak ϕ iterated function system
Topological Algebra and its Applications, 2022 In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor ...
Ullah Kifayat, Katiyar S. K.
doaj +1 more source
Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions
Demonstratio Mathematica, 2019 Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
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Dimensions of equilibrium measures on a class of planar self-affine sets [PDF]
, 2018 We study equilibrium measures (K¨aenm¨aki measures) supported on self-affine sets generated by a finite collection of diagonal and anti-diagonal matrices acting on the plane and satisfying the strong separation property.
Fraser, Jonathan M +4 more
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Existence results for nonlinear elliptic problems on fractal domains
Advances in Nonlinear Analysis, 2016 Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval
Ferrara Massimiliano +2 more
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Monoids, their boundaries, fractals and C*-algebras
Topological Algebra and its Applications, 2020 In this note we establish some connections between the theory of self-similar fractals in the sense of John E. Hutchinson (cf. [3]), and the theory of boundary quotients of C*-algebras associated to monoids.
dal Verme Giulia, Weigel Thomas
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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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