Konu "Iterated Function System" için Scopus İndeksli Yayınlar Koleksiyonu listeleme
Toplam kayıt 6, listelenen: 1-6
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The circle as an attractor of an iterated function system on the plane
(Academic Press Inc Elsevier Science, 2007)We give an iterated function system (IFS) on the plane with the circle as attractor. In doing this, we also give a sufficient condition for radially contracting functions on the plane (or on R-n) to be a contraction. A ... -
Graph-directed fractal interpolation functions
(Scientific Technical Research Council Turkey-Tubitak, 2017)It is known that there exists a function interpolating a given data set such that the graph of the function is the attractor of an iterated function system, which is called a fractal interpolation function. We generalize ... -
An Iterated Function System for the Closure of the Adding Machine Group
(World Scientific Publ Co Pte LTD, 2015)In this paper, first we equip the automorphism group of the p-ary rooted tree X* with a natural metric and define a family of contractions on Aut(X*). Then, we construct an iterated function system (IFS) whose attractor ... -
A self-similar group in the sense of iterated function system
(2012)In this paper, first we give an iterated function system whose attractor is G m, a subgroup of the automorphism group of an (m + 1) -ary rooted tree. We also show that G m is a self-similar group in the sense of IFS. Then ... -
Self-similar groups in the sense of an iterated function system and their properties
(Academic Press Inc Elsevier Science, 2013)The notion of self-similarity in the sense of iterated function system (IFS) for compact topological groups is given by S. Kocak in Definition 3. In this work, first we give the definition of strong self-similar group in ... -
The snowflake curve as an attractor of an iterated function system
(2013)Although the snowflake curve, the boundary of the Koch snowflake, is one of the well-known fractals, there is no iterated function system (IFS) for it in the literature. In this study, we give an IFS for this familiar closed curve