Kurum Yazarı "Demir, Bünyamin" WoS İndeksli Yayınlar Koleksiyonu İçin Listeleme
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The circle as an attractor of an iterated function system on the plane
Demir, Bünyamin; Dzhafarov, Vakif; Koçak, Şahin; Üreyen, Mehmet (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 ... -
Derivatives of the restrictions of harmonic functions on the Sierpinski gasket to segments
Demir, Bünyamin; Dzhafarov, Vakif; Koçak, Şahin; Üreyen, Mehmet (Academic Press Inc Elsevier Science, 2007)We give an explicit derivative computation for the restriction of a harmonic function on SG to segments at specific points of the segments: The derivative is zero at points dividing the segment in ratio 1:3. This shows ... -
An explicit formula of the intrinsic metric on the Sierpinski gasket via code representation
Saltan, Mustafa; Özdemir, Yunus; Demir, Bünyamin (Scientific Technical Research Council Turkey-Tubitak, 2018)The computation of the distance between any two points of the Sierpinski gasket with respect to the intrinsic metric has already been investigated by several authors. However, to the best of our knowledge, in the literature ... -
Geodesics of the Sierpinski Gasket
Saltan, Mustafa; Özdemir, Yunus; Demir, Bünyamin (World Scientific Publ Co Pte LTD, 2018)In this paper, we examine the number of geodesics between two points of the Sierpinski Gasket (S) via code representations of the points and as a main result we show that the maximum number of geodesics between different ... -
An Iterated Function System for the Closure of the Adding Machine Group
Saltan, Mustafa; Demir, Bünyamin (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 note on positive Lyapunov exponent and sensitive dependence on initial conditions
Demir, Bünyamin; Koçak, Şahin (Pergamon-Elsevier Science LTD, 2001)In this note, we give two examples of discrete dynamics (Functions) on intervals C R, the first having a positive Lyapunov exponent at a point but not being sensitive-dependent on initial conditions at that point; and the ... -
Self-similar groups in the sense of an iterated function system and their properties
Saltan, Mustafa; Demir, Bünyamin (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 ... -
Stability of Graphs
Demir, Bünyamin; Deniz, Ali; Koçak, Şahin (Electronic Journal Of Combinatorics, 2009)Positively weighted graphs have a natural intrinsic metric. We consider finite, positively weighted graphs with a positive lower bound for their minimal weights and show that any two such graphs, which are close enough ... -
Tube Formulas for Graph-Directed Fractals
Demir, Bünyamin; Deniz, Ali; Koçak, Şahin; Üreyen, Adem Ersin (World Scientific Publ Co Pte LTD, 2010)Lapidus and Pearse proved recently an interesting formula about the volume of tubular neighborhoods of fractal sprays, including the self-similar fractals. We consider the graph-directed fractals in the sense of graph ...