Makale Koleksiyonu: Recent submissions
Now showing items 221-240 of 257
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Tube volumes via functional equations
(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 ... -
On the smallest disks enclosing graph-directed fractals
(Pergamon-Elsevier Science LTD, 2018)We consider the graph-directed iterated function systems and give upper bounds for the diameters of the smallest disks enclosing their attractors. We also give an algorithm to obtain these smallest enclosing disks with any ... -
Tube Formulas for Graph-Directed Fractals
(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 ... -
Seiberg-Witten-Like Equations Without Self-Duality on Odd Dimensional Manifolds
(Global Science Press, 2018)In this paper, Seiberg-Witten-like equations without self-duality are defined on any smooth 2n+1-dimensional Spinc manifolds. Then, a non-trivial solution is given on the strictly-Pseudoconvex CR-5 manifolds endowed with ... -
On the Existence of Fagnano Trajectories in Convex Polygonal Billiards
(Maik Nauka/Interperiodica/Springer, 2009)We prove that an n-gon F is pedal strong Fagnano trajectory in some convex polygonal billiard table A if and only if it is a convex Poncelet n-gon. -
Stability of Graphs
(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 ... -
The construction of maximum independent set of matrices via Clifford algebras
(Scientific Technical Research Council Turkey-Tubitak, 2007)In [1], [2] and [6] the maximum number of some special type n x n matrices with elements in F whose nontrivial linear combinations with real coefficients are nonsingular is studied where F is the real field R, the complex ... -
An equivalence class decomposition of finite metric spaces via Gromov products
(Elsevier Science BV, 2017)Let (X, d) be a finite metric space with elements P-i, i = 1,..., n and with the distance functions d(ij) The Gromov Product of the "triangle" (P-i, P-j, P-k) with vertices P-t, P-j and P-k at the vertex Pi is defined by ... -
Seiberg-Witten-like equations on 5-dimensional contact metric manifolds
(Scientific Technical Research Council Turkey-Tubitak, 2014)In this paper, we write Seiberg-Witten-like equations on contact metric manifolds of dimension 5. Since any contact metric manifold has a Spin(e)-structure, we use the generalized Tanaka-Webster connection on a Spin(e) ... -
A Fractal Representation of the Complex Clifford Algebra Equivalent to the Fock Representation
(Birkhauser Verlag Ag, 2012)We construct a representation of the infinite dimensional complex Clifford algebra on the Hilbert space of square-integrable complex-valued functions on the Cantor set, which we show to be equivalent to the classical Fock ... -
Seiberg-Witten Equations on Pseudo-Riemannian Spin(c) Manifolds With Neutral Signature
(Ovidius University Press, 2012)Pseudo-Riemannian spin(c) manifolds were introduced by Ikemakhen in [7]. In the present work we consider pseudo-Riemannian 4-manifolds with neutral signature whose structure groups are SO+ (2, 2). We prove that such manifolds ... -
Schrodinger-Lichnerowicz Like Formula on Kahler-Norden Manifolds
(World Scientific Publ Co Pte LTD, 2012)A new kind of spinors and Dirac operator are introduced on Kahler-Norden manifolds in [Spinors on Kahler-Norden manifolds, J. Nonlinear Math. Phys. 17(1) (2010) 27-34]. In this work the square D-2 of the Dirac operator D ... -
Seiberg-Witten Equations on Four-Dimensional Lorentzian Spin(C) Manifolds
(World Scientific Publ Co Pte LTD, 2011)New kind of spinors are introduced on four-dimensional Lorentzian Spin(c) manifolds in [1]. We define Dirac operator on such spinors. In [2] Seiberg-Witten-like equations are written down on Minkowski space. In the present ... -
Chaos in product maps
(Scientific Technical Research Council Turkey-Tubitak, 2010)We discuss how chaos conditions on maps carry over to their products First we give a counterexample showing that the product of two chaotic maps (in the sense of Devaney) need not be chaotic We then remark that if two maps ... -
Random search of stable member in a matrix polytope
(Elsevier Science BV, 2016)Given a matrix polytope we consider the existence problem of a stable member in it. We suggest an algorithm in which part of uncertainty parameters is chosen randomly. Applications to affine families and 3 x 3 interval ... -
Fractal interpolation on the Sierpinski Gasket
(Academic Press Inc Elsevier Science, 2008)We prove for the Sierpinski Gasket (SG) an analogue of the fractal interpolation theorem of Barnsley. Let V-0 = [p(1), p(2), p(3)) be the set of vertices of SG and u(i) (x) = 1/2 (x + p(i)) the three contractions of the ... -
Representations of Clifford Algebras on Function Spaces on the Cantor Set
(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. -
Stabilization of Discrete Time Systems By Reflection Coefficients
(Krasovskii Inst Mathematics & Mechanics Ural Branch Russian Acad Sciences, 2017)For single-input single-output discrete-time systems, we consider a stabilization problem by a fixed order controller. A number of examples show that such controller may not exist. It is assumed that the controller depends ... -
Graph-directed sprays and their tube volumes via functional equations
(European Mathematical Soc, 2017)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 define a notion of a graph-directed spray, associated with a weighted directed ... -
Stabilisation of discrete-time systems via Schur stability region
(Taylor & Francis LTD, 2018)In this paper, we consider the stabilisation problem of discrete-time systems by affine compensator. Using the known properties of the Schur stability region of monic polynomials, we give conditions under which stabilising ...
