Results 11 to 20 of about 15,237 (204)
A note on stable iterated function systems [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The properties of continuous stable iterated function systems are investigated, and equicontinuity is studied in relation to stable iterated function systems.
Roy A. Mimna, Thomas Smotzer
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On Weakly Hyperbolic Iterated Function Systems
Bulletin of the Brazilian Mathematical Society, New Series, 2016 Updated version.
Arbieto, Alexander +2 more
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Boundary Controlled Iterated Function Systems [PDF]
, 2015 Boundary Controlled Iterated Function Systems is a new layer of control over traditional (linear) IFS, allowing creation of a wide variety of shapes. In this work, we demonstrate how subdivision schemes may be generated by means of Boundary Controlled Iterated Function Systems, as well as how we may go beyond the traditional subdivision schemes to ...
Sokolov, Dmitry +3 more
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On the relation between iterated function systems and partitioned iterated function systems
, 1996 n this paper, we give a theoretically founded transition from Iterated Function Systems based on affine transformations to Partitioned Iterated Function Systems. We show that there are two essential steps, namely, restricting the affine transformations, and solving the evoked problem of ink dissipation.
Van Melkebeek, Dieter, Bultheel, Adhemar
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THE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEM [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractWe investigate the topological and metric properties of attractors of an iterated function system (IFS) whose functions may not be contractive. We focus, in particular, on invertible IFSs of finitely many maps on a compact metric space. We rely on ideas of Kieninger [Iterated Function Systems on Compact Hausdorff Spaces (Shaker, Aachen, 2002 ...
Barnsley, Michael, vince, Andrew
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Eliminating unpredictable variation through iterated learning [PDF]
, 2010 Human languages may be shaped not only by the (individual psychological) processes of language acquisition, but also by population-level processes arising from repeated language learning and use.
Elizabeth Wonnacott +3 more
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Random iterations of homeomorphisms on the circle
Modern Stochastics: Theory and Applications, 2017 We study random independent and identically distributed iterations of functions from an iterated function system of homeomorphisms on the circle which is minimal.
Katrin Gelfert, Örjan Stenflo
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Fractal Frames of Functions on the Rectangle
Fractal and Fractional, 2021 In this paper, we define fractal bases and fractal frames of L2(I×J), where I and J are real compact intervals, in order to approximate two-dimensional square-integrable maps whose domain is a rectangle, using the identification of L2(I×J) with the ...
María A. Navascués +2 more
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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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