Results 21 to 30 of about 167,256 (307)
A class of continua that are not attractors of any IFS [PDF]
, 2012 This paper presents a sufficient condition for a continuum in $R^n$ to be embeddable in $R^n$ in such a way that its image is not an attractor of any iterated function system.
Kulczycki, Marcin, Nowak, Magdalena
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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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Digital Video Compression Using DCT-Based Iterated Function System (IFS)
Tikrit Journal of Pure Science, 2023 Large video files processing involves a huge volume of data. The codec, storage systems and network needs resource utilization, so it becomes important to minimize the used memory space and time to distribute these videos over the Internet using ...
Nevart A. Minas, Faten H. Al-Qadhee
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Attractor of Cantor Type with Positive Measure [PDF]
, 2017 We construct an iterated function system consisting of strictly increasing contractions $f,g\colon [0,1]\to [0,1]$ with $f([0,1])\cap g([0,1])=\emptyset$ and such that its attractor has positive Lebesgue ...
Morawiec, Janusz, Zürcher, Thomas
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On quantum iterated function systems [PDF]
Open Physics, 2004 AbstractA Quantum Iterated Function System on a complex projective space is defined through a family of linear operators on a complex Hilbert space. The operators define both the maps and their probabilities by one algebraic formula. Examples with conformal maps (relativistic boosts) on the Bloch sphere are discussed.
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Wavelets for iterated function systems
Journal of Functional Analysis, 2010 17 pages, 3 ...
Jana Bohnstengel, Marc Kesseböhmer
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The similarity dimension of the random iterated function system [PDF]
Компьютерные исследования и моделирование, 2012 In this paper we consider the properties of the random iterated function systems (RIFS) obtained using a generalization of the Chaos game algorithm. Used for the RIFS simulation R is a free software environment for statistical computing and graphics. The
Pavel Valentinovich Moskalev +1 more
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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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Markov Characteristics for IFSP and IIFSP [PDF]
Transactions on Fuzzy Sets and Systems, 2022 As the research object of modern nonlinear science, a fractal theory has been an important research content for scholars since it comes into the world. Moreover, iterated function system (IFS) is a significant research object of fractal theory.
Nan Jiang, Wei Li, Fei Li, Juntao Wang
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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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