Results 21 to 30 of about 2,819,901 (294)
Multiple-Function Systems Based on Regular Subdivision
Fractal and Fractional, 2022 Self-similar fractals can be generated using subdivision and the subdivision curves/surfaces are actually attractors. Such a connection has been studied between fractals and an extended family of subdivision including stationary and non-stationary ...
Baoxing Zhang +2 more
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Overlapping Iterated Function Systems from the Perspective of Metric Number Theory [PDF]
Memoirs of the American Mathematical Society, 2019 In this paper we develop a new approach for studying overlapping iterated function systems. This approach is inspired by a famous result due to Khintchine from Diophantine approximation which shows that for a family of limsup sets, their Lebesgue measure
S. Baker
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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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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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Optimal transportation and stationary measures for iterated function systems [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2019 In this paper we show how ideas, methods and results from optimal transportation can be used to study various aspects of the stationary measures of Iterated Function Systems equipped with a probability distribution.
Benoît R. Kloeckner
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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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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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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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On the construction of recurrent fractal interpolation functions using Geraghty contractions
Electronic Research Archive, 2023 The recurrent iterated function systems (RIFS) were first introduced by Barnsley and Demko and generalized the usual iterated function systems (IFS). This new method allowed the construction of more general sets, which do not have to exhibit the strict ...
Najmeddine Attia , Hajer Jebali
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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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