Kurum Yazarı "Koçak, Şahin" WoS İndeksli Yayınlar Koleksiyonu İçin Listeleme
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A notion of robustness and stability of manifolds
Deniz, Ali; Koçak, Şahin; Ratiu, Andrei V. (Academic Press Inc Elsevier Science, 2008)Starting from the notion of thickness of Parks we define a notion of robustness for arbitrary subsets of R-k and we investigate its relationship with the notion of positive reach of Federer. We prove that if a set M is ... -
On Products of Uniquely Geodesic Spaces
Kılıç, Mehmet; Koçak, Şahin (Mathematical Assoc Amer, 2015)After introducing the geodesic spaces, we prove that the product of two complete, uniquely geodesic spaces with respect to the product metric d(p) is again a uniquely geodesic space for 1 < p < infinity. -
On the Minkowski measurability of self-similar fractals in R-d
Deniz, Ali; Koçak, Şahin; Özdemir, Yunus; Ratiu, Andrei; Üreyen, Adem Ersin (Scientific Technical Research Council Turkey-Tubitak, 2013)The question of Minkowski measurability of fractals is investigated for different situations by various authors, notably by M. Lapidus. In dimension one it is known that the attractor of an IFS consisting of similitudes ... -
Representations of Clifford Algebras on Function Spaces on the Cantor Set
Çelik, Derya; Koçak, Şahin; Özdemir, Yunus (Birkhauser Verlag Ag, 2011)We give a representation of the (infinite-dimensional) complex Clifford algebra on the Hilbert space of square-integrable complexvalued functions on the Cantor set. -
Seiberg-Witten type monopole equations on 8-manifolds with Spin(7) holonomy as minimizers of a quadratic action
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (Springer, 2003)We obtain an elliptic system of monopole equations on 8-manifolds with Spin(7) holonomy by minimizing an action involving negative spinors coupled to an abelian gauge field. -
Self-dual Yang-Mills fields in eight dimensions
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (Kluwer Academic Publ, 1996)Strongly self-dual Yang-Mills fields in even-dimensional spaces are characterised by a set of constraints on the eigenvalues of the Yang-Mills fields F-mu nu. We derive a topological bound on R(8), integral(M)(F, F)(2) ... -
Self-duality in higher dimensions
Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (IOP Publishing LTD, 2017)Let w be a 2-form on a 2n dimensional manifold. In previous work, we called w "strong self-dual, if the eigenvalues of its matrix with respect to an orthonormal frame are equal in absolute value. In a series of papers, we ... -
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 ... -
Strong 2-Calibrations on R-2N
Koçak, Şahin; Özdemir, Yunus (Kinokuniya Co LTD, 2011)Most of the classical calibrations possess a property which does not seem to be recognized. Making this property explicit, we define what we call the strong calibrations and prove that a strong 2-calibration field on R-2n ... -
Tight span of subsets of the plane with the maximum metric
Kılıç, Mehmet; Koçak, Şahin (Academic Press Inc Elsevier Science, 2016)We prove that a nonempty closed and geodesically convex subset of the l(infinity) plane R-infinity(2) is hyperconvex and we characterize the tight spans of arbitrary subsets of R-infinity(2) via this property: Given any ... -
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 ... -
Tube Formulas for Self-Similar and Graph-Directed Fractals
Deniz, Ali; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin (Springer, 2013)… -
Tube volumes via functional equations
Deniz, Ali; Koçak, Şahin; Özdemir, Yunus; Üreyen, Adem Ersin (Springer Basel Ag, 2015)Tube formulas for convex sets and for smooth submanifolds of Euclidean spaces have long been of interest for geometers. In the last two decades there has been great progress on tube formulas for badly behaved spaces such ... -
Zinc-Deficiency in Cirrhosis
Ozsoylu, S; Koçak, Şahin; Akgün, N (British Med Journal Publ Group, 1991)…