Results 11 to 20 of about 214,809 (261)
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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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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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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Compression Image by Using Iterated Function Systems [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 This research was in the compression digital images using the iterative function and applied to grayscale images, color images and then re-pressed image decoding.
Basil Al-khayat, Mahasin Younis
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Fractal Dimension of Fractal Functions on the Real Projective Plane
Fractal and Fractional, 2023 In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the ...
Alamgir Hossain +2 more
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Measuring Ranks via the Complete Laws of Iterated Contraction [PDF]
, 2007 Ranking theory delivers an account of iterated contraction; each ranking function induces a specific iterated contraction behavior. The paper gives a complete axiomatization of that behavior, i.e., a complete set of laws of iterated contraction.
Spohn, Wolfgang
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Equilibrium states of generalised singular value potentials and applications to affine iterated function systems [PDF]
, 2018 We completely describe the equilibrium states of a class of potentials over the full shift which includes Falconer's singular value function for affine iterated function systems with invertible affinities.
Bochi, Jairo, Morris, Ian D.
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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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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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