7 citations · 7 across the 3 of their papers we have counts for
4 papers · 1 filter
Graph-Directed Sprays and Their Tube Volumes via Functional Equations
Derya Çelik, Şahin Koçak, Yunus Özdemir +1
The notion of sprays introduced by Lapidus and his co-workers has proved useful in the context of fractal tube formulas. In the present note, we propose a more general concept of s…
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.