Results 31 to 40 of about 12,737,911 (320)
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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Equilibrium states of generalised singular value potentials and applications to affine iterated function systems [PDF]
, 2017 We completely describe the equilibrium states of a class of potentials over the full shift which includes Falconer’s singular value function for affine iterated function systems with invertible affinities.
J. Bochi, I. Morris
semanticscholar +1 more source
Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals
Journal of Function Spaces and Applications, 2012 This paper is concerned with the pointwise estimates for the sharp function of the maximal multilinear commutators TΣb* and maximal iterated commutator TΠb*, generalized by m-linear operator T and a weighted Lipschitz function b.
Dongxiang Chen, Suzhen Mao
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Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems
Abstract and Applied Analysis, 2015 We apply a fixed point result for multivalued contractions on complete metric spaces endowed with a graph to graph-directed iterated function systems.
T. Dinevari, M. Frigon
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Existence of Picard operator and iterated function system
Applied General Topology, 2020 In this paper, we define weak θm− contraction mappings and give a new class of Picard operators for such class of mappings on a complete metric space. Also, we obtain some new results on the existence and uniqueness of attractor for a weak θm− iterated ...
Medha Garg, Sumit Chandok
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Iteration and Iterative Roots of Fractional Polynomial Function [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Iteration is involved in the fields of dynamical systems and numerical computation and so forth. The computation of iteration is difficult for general functions (even for some simple functions such as linear fractional functions). In this paper, we discuss fractional polynomial function and use the method of conjugate similitude to obtain its ...
openaire +2 more sources
Algorithms generating images of attractors of generalized iterated function systems [PDF]
Numerical Algorithms, 2016 The paper is devoted to searching algorithms which will allow to generate images of attractors of generalized iterated function systems (GIFS in short), which are certain generalization of classical iterated function systems, defined by Mihail and ...
P. Jaros, L. Maslanka, F. Strobin
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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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Iterated function systems, representations, and Hilbert space
, 2004 This paper studies a general class of Iterated Function Systems (IFS). No contractivity assumptions are made, other than the existence of some compact attractor. The possibility of escape to infinity is considered.
Bratteli O. +4 more
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Iterated Relation Systems on Riemannian Manifolds
Fractal and FractionalFor fractals on Riemannian manifolds, the theory of iterated function systems often does not apply well directly, as these fractal sets are often defined by relations that are multivalued or non-contractive.
Jie Liu, Sze-Man Ngai, Lei Ouyang
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