Results 11 to 20 of about 15,373 (302)
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 [PDF]
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 [PDF]
, 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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Iterated Function Systems on Multifunctions [PDF]
, 2007 We introduce a method of iterated function systems (IFS) over the space of set-valued mappings (multifunctions). This is done by first considering a couple of useful metrics over the space of multifunctions F(X,Y). Some appropriate IFS-type fractal transform operators T:F(X,Y)->F(X,Y) are then defined which combine spatially-contracted and range ...
D. La Torre, F. Mendivil, E. Vrscay
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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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Attractors of directed graph IFSs that are not standard IFS attractors and their Hausdorff measure [PDF]
, 2012 "GCB was supported by an EPSRC Doctoral Training Grant whilst undertaking this work"For directed graph iterated function systems (IFSs) defined on R, we prove that a class of 2-vertex directed graph IFSs have attractors that cannot be the attractors of ...
Boore, Graeme, Falconer, Kenneth John
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