Results 21 to 30 of about 12,737,911 (320)

Overlapping Iterated Function Systems from the Perspective of Metric Number Theory [PDF]

open access: yesMemoirs 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
semanticscholar   +1 more source

Compression Image by Using Iterated Function Systems [PDF]

open access: yesAl-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
doaj   +1 more source

Fractal Dimension of Fractal Functions on the Real Projective Plane

open access: yesFractal 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
doaj   +1 more source

Law of the Iterated Logarithm for some Markov operators [PDF]

open access: yes, 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
core   +3 more sources

A note on stable iterated function systems

open access: yesInternational 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
doaj   +1 more source

Random iterations of homeomorphisms on the circle

open access: yesModern 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
doaj   +1 more source

A class of continua that are not attractors of any IFS [PDF]

open access: yes, 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
core   +2 more sources

One-dimensional wave equations defined by fractal Laplacians [PDF]

open access: yes, 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
core   +1 more source

The structure of fuzzy fractals generated by an orbital fuzzy iterated function system

open access: yesDemonstratio 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
doaj   +1 more source

Attractor of Cantor Type with Positive Measure [PDF]

open access: yes, 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
core   +3 more sources

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