7 citations · 7 across the 4 of their papers we have counts for
6 papers
Trimming of Finite Subsets of the Manhattan Plane
Gökçe Çakmak, Ali Deniz, Şahin Koçak
V. Turaev defined recently an operation of "Trimming" for pseudo-metric spaces and analysed the tight span of (pseudo-)metric spaces via this process. In this work we investigate t…
A Class of Möbius Iterated Function Systems
Gökçe Çakmak, Ali Deniz, Şahin Koçak
We give a procedure to produce Möbius iterated function systems (MIFS) on the unit disc in the complex plane.
Graph-Directed Fractal Interpolation Functions
Ali Deniz, Yunus Özdemir
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 fractal…
Tube Volumes via Functional Equations
Ali Deniz, Sahin Kocak, Yunus Ozdemir +1
We give a very simple approach to the computation of tube volumes of self-similar sprays using a functional equation satisfied by them.
On the Minkowski Measurability of Self-Similar Fractals in R^d
Ali Deniz, Sahin Kocak, Yunus Ozdemir +2
M. Lapidus and C. Pomerance (1990-1993) and K.J. Falconer (1995) proved that a self-similar fractal in is Minkowski-measurable iff it is of non-lattice type. D. Gatzou…
Tube Formula for Self-Similar Fractals with non-Steiner-like Generators
A. Deniz, S. Kocak, Y. Ozdemir +1
We give a direct, pointwise proof for the tube formula of Lapidus-Pearse for self-similar fractals, where we allow non-convex, non-Steiner-like generators.