Results 1 to 10 of about 1,640 (101)
Thermodynamic formalism for invariant measures in iterated function systems with overlaps [PDF]
, 2021 We study images of equilibrium (Gibbs) states for a class of non-invertible transformations associated to conformal iterated function systems with overlaps S.
Eugen Mihailescu
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The mutual singularity of the relative multifractal measures
Nonautonomous Dynamical Systems, 2021 M. Das proved that the relative multifractal measures are mutually singular for the self-similar measures satisfying the significantly weaker open set condition. The aim of this paper is to show that these measures are mutually singular in a more general
Douzi Zied, Selmi Bilel
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Persistence landscapes of affine fractals
Demonstratio Mathematica, 2022 We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of affine transformations that satisfies a certain compatibility condition, we ...
Catanzaro Michael J. +2 more
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On the structure of self-affine Jordan arcs in ℝ2
Demonstratio Mathematica, 2023 We prove that if a self-affine arc γ∈R2\gamma \in {{\mathbb{R}}}^{2} does not satisfy weak separation condition, then it is a segment of a parabola or a straight line.
Tetenov Andrei, Kutlimuratov Allanazar
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The structure of fuzzy fractals generated by an orbital fuzzy iterated function system
Demonstratio Mathematica, 2023 In this article, we present a structure result concerning fuzzy fractals generated by an orbital fuzzy iterated function system ((X,d),(fi)i∈I,(ρi)i∈I)\left(\left(X,d),{({f}_{i})}_{i\in I},{\left({\rho }_{i})}_{i\in I}). Our result involves the following
Savu Irina +2 more
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Representations of real numbers induced by probability distributions on $\mathbb{N}$
, 2021 We observe that a probability distribution supported by $\mathbb{N}$, induces a representation of real numbers in [0, 1) with digits in $\mathbb{N}$.
Neunhäuserer, Jörg
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Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]
Demonstratio Mathematica, 2021 Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant Borel probability measure associated with their iterated function systems.
Byars Allison +5 more
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Iterated function systems consisting of F-contractions
Fixed Point Theory and Applications, 2013 In this paper we consider a particular case of a contractive self-mapping on a complete metric space, namely the F-contraction introduced by Wardowski (Fixed Point Theory Appl.
N. Secelean
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On the Billingsley dimension of Birkhoff average in the countable symbolic space
, 2020 We compute a lower bound of Billingsley–Hausdorff dimension, defined by Gibbs measure, of the level set related to Birkhoff average in the countable symbolic spaceNN. 2020 Mathematics Subject Classification. 28A80, 37A05, 37A35, 37B10, 37C45.
Najmeddine Attia, B. Selmi
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Expanding measures: Random walks and rigidity on homogeneous spaces
Forum of Mathematics, Sigma, 2023 Let G be a real Lie group, $\Lambda
Roland Prohaska +2 more
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