Results 51 to 60 of about 127 (112)

A GEOMETRIC PROPERTY OF THE SIERPIŃSKI CARPET

, 2005
The main aim of this paper is to find formulae for the computation of the geodesic metric on the Sierpiński carpet. This is accomplished by introducing carpet coordinates.
Cristea, Ligia L
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On bivariate fractal interpolation for countable data and associated nonlinear fractal operator

Demonstratio Mathematica
Fractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar, Secelean Nicolae Adrian, Viswanathan Puthan Veedu   +2 more
doaj   +1 more source

The strong maximum principle for Schrödinger operators on fractals

Demonstratio Mathematica, 2019
We prove a strong maximum principle for Schrödinger operators defined on a class of postcritically finite fractal sets and their blowups without boundary.
Ionescu Marius V., Okoudjou Kasso A., Rogers Luke G.   +2 more
doaj   +1 more source

Multifractality of overlapping non-uniform self-similar measures

, 2014
We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain where the open set condition fails to hold. MSC 2010: 28A80 Key-words: self-similar measures, multifractal analysis, dimension spectrum, local dimension ...
J. Neunhäuserer
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Possibly infinite generalized iterated function systems comprising ϕ-max contractions

, 2019
One way to generalize the concept of iterated function system was proposed by R. Miculescu and A. Mihail under the name of generalized iterated function system (for short GIFS).
URZICEANU, Silviu-Aurelian
core   +1 more source

IFSs consisting of generalized convex contractions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we introduce the concept of iterated function system consisting of generalized convex contractions. More precisely, given n ∈ ℕ*, an iterated function system consisting of generalized convex contractions on a complete metric space (X; d) is
Georgescu Flavian
doaj   +1 more source

Some Remarks on the Fractal Structure of Irrigation Balls

Advanced Nonlinear Studies, 2019
The paper is related to a conjecture by Pegon, Santambrogio and Xia concerning the dimension of the boundary of some sets which we are calling “irrigation balls”.
Devillanova Giuseppe, Solimini Sergio
doaj   +1 more source

Riesz Potentials and Liouville Operators on Fractals

, 2007
An analogue to the theory of Riesz potentials and Liouville operators in R for arbitrary fractal d-sets is developed. Corresponding function spaces agree with traces of euclidean Besov spaces on fractals.
M. Zähle
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Densities of measures: fine properties and examples

Demonstratio Mathematica
In this study, we focus on density estimations for a specific class of multifractal Hausdorff and packing measures. We first derive a necessary and sufficient condition and then established the equivalence of these multifractal measures. Additionally, we
Attia Najmeddine, Moulahi Taoufik
doaj   +1 more source

The Equivalence Of Some Bernoulli Convolutions To Lebesgue Measure

, 1997
. Since the 1930's many authors have studied the distribution of the random series Y = P \Sigma n where the signs are are chosen independently with probability (1=2; 1=2) and 0 ! ! 1. Solomyak (1995) proved that for almost every 2 [ 1 2 ;
R. Daniel Mauldin, Károly Simon
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