Results 51 to 60 of about 123 (109)
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. +2 more
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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 MathematicaFractal 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 +2 more
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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
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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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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
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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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Local fractal functions on Orlicz-Sobolev spaces [PDF]
In these notes we consider a class of iterated function systems whose attractors are the graphs of local fractal functions belonging to Orlicz and to Orlicz-Sobolev spaces.
ARRIAGADA, Waldo
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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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Spectra of Self-Similar Measures. [PDF]
Entropy (Basel), 2022 Cao YS, Deng QR, Li MT.
europepmc +1 more source