Results 21 to 30 of about 15,373 (302)
Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon
Analysis and Geometry in Metric Spaces, 2021 We investigate the Hölder geometry of curves generated by iterated function systems (IFS) in a complete metric space. A theorem of Hata from 1985 asserts that every connected attractor of an IFS is locally connected and path-connected.
Badger Matthew, Vellis Vyron
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Notes on the Transversality Method for Iterated Function Systems—A Survey
Mathematical and Computational Applications, 2023 This is a brief survey of selected results obtained using the “transversality method” developed for studying parametrized families of fractal sets and measures. We mostly focus on the early development of the theory, restricting ourselves to self-similar
Boris Solomyak
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Attractors for iterated function systems
Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2016 Let X be a compact metric space with \mathcal S = \{S_{1}, \ldots, S_{N}\} a finite set of contraction maps from X
D'ANIELLO, Emma, Steele, T. H.
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The Hutchinson-Barnsley theory for generalized iterated function systems by means of infinite iterated function systems [PDF]
, 2023 The study of generalized iterated function systems (GIFS) was introduced by Mihail and Miculescu in 2008. We provide a new approach to study those systems as the limit of the Hutchinson-Barnsley setting for infinite iterated function systems (IIFS) which
Oliveira, Elismar R.
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A Closed Graph Theorem for hyperbolic iterated function systems [PDF]
, 2021 In this note we introduce a notion of a morphism between two hyperbolic iterated function systems. We prove that the graph of a morphism is the attractor of an iterated function system, giving a Closed Graph Theorem, and show how it can be used to ...
Mundey, Alexander
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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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ON RANDOM ITERATED FUNCTION SYSTEMS WITH GREYSCALE MAPS
Image Analysis and Stereology, 2012 In the theory of Iterated Function Systems (IFSs) it is known that one can find an IFS with greyscale maps (IFSM) to approximate any target signal or image with arbitrary precision, and a systematic approach for doing so was described.
Matthew Demers +2 more
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Generalized countable iterated function systems [PDF]
, 2011 One of the most common and most general way to generate fractals is by using iterated function systems which consists of a finite or infinitely many maps.
Adrian Secelean
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Attractors of iterated function systems and Markov operators
Abstract and Applied Analysis, 2003 This paper contains a review of results concerning generalized attractors for a large class of iterated function systems {wi:i∈I} acting on a complete separable metric space.
Józef Myjak, Tomasz Szarek
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Attractors for classes of iterated function systems [PDF]
, 2019 We consider various classes of iterated function systems, such as those comprised of similarities and those satisfying the open set condition, and weakly contractive systems. Necessary properties are developed for a compact set to be an attractor for the
D’Aniello, Emma, Steele, Timothy H.
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