7 citations · 8 across the 4 of their papers we have counts for
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An Explicit Formula of the Intrinsic Metric on the Sierpinski Gasket via Code Representation
Mustafa Saltan, Yunus Ozdemir, Bunyamin Demir
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. In the litera…
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.