Results 11 to 20 of about 153,517 (179)
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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Law of the Iterated Logarithm for some Markov operators [PDF]
, 2015 The Law of the Iterated Logarithm for some Markov operators, which converge exponentially to the invariant measure, is established. The operators correspond to iterated function systems which, for example, may be used to generalize the cell cycle model ...
Hille, Sander C. +3 more
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A note on stable iterated function systems
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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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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One-dimensional wave equations defined by fractal Laplacians [PDF]
, 2014 We study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians are defined by fractal measures generated by iterated function systems with overlaps, such as the well-known infinite Bernoulli convolution associated with
Chan, John Fun-Choi +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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Real Projective Iterated Function Systems [PDF]
Journal of Geometric Analysis, 2011 This paper contains four main results associated with an attractor of a projective iterated function system (IFS). The first theorem characterizes when a projective IFS has an attractor which avoids a hyperplane. The second theorem establishes that a projective IFS has at most one attractor. In the third theorem the classical duality between points and
Barnsley, Michael F., Vince, Andrew
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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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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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