12 citations · 24 across the 12 of their papers we have counts for
6 papers · 1 filter
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…
Differential Inequalities for Distance Comparison
Murat Limoncu, Şahin Koçak
Comparison of -dimensional distance functions is a basic tool in Alexandrov geometry and it is used to characterize spaces with curvature bounded above or below. For the zero cu…
An Algorithm For The Construction of The Tight Span of Finite Subsets of The Manhattan Plane
Mehmet Kılıç, Şahin Koçak, Yunus Özdemir
We give a simple algorithm for the construction of the tight span of a finite subset of the Manhattan plane.
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.
Inner tube formulas for polytopes
Sahin Kocak, Andrei V. Ratiu
We show that the volume of the inner -neighborhood of a polytope in the -dimensional Euclidean space is a pluri-phase Steiner-like function, i.e. a continuous piecewise polyn…
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.