Recent Submissions

  • Steady-state bipartite entanglement supported by a squeezed environment 

    Can, M. A.; Çakir, Ö.; Günhan, A. C.; Klyachko, A. A.; Pak, N. K.; Shumovsky, A. S. (Institute of Physics Publishing, 2005-05)
    We examine the entanglement of two atoms induced by an external quantum system. Both two-level atoms are coupled to a third two-level system by dipole interaction, and the third system is under the influence of a certain ...
  • The problem of localizing photons 

    Shumovsky, A. S.; Klyachko, A. A. (Institute of Physics Publishing, 2001-01)
    It is shown that the boundary conditions, specifying the plane waves of photons, are incapable of description of the photon localization at detection and emission. It is also shown that deflection from the plane waves ...
  • Non-oscillating Paley-wiener functions 

    Ostrovskii, I. V.; Ulanovskii, A. (Springer-Verlag, 2004)
    A non-oscillating Paley-Wiener function is a real entire functionf of exponential type belonging toL 2(R) and such that each derivativef (n),n=0, 1, 2,…, has only a finite number of real zeros. It is established that the ...
  • Classical Zariski pairs 

    Degtyarev, D. (Worldwide Center of Mathematics, 2010)
    We compute the fundamental groups of the complements of all irreducible plane sextics constituting classical Zariski pairs.
  • Semicommutativity of amalgamated rings 

    Kose, H.; Kurtulmaz, Y.; Ungor, B.; Harmancı, A. (Journal of Mathematical Research with Applications, 2018)
    In this paper, we study some cases when an amalgamated construction A ◃▹f I of a ring A along an ideal I of a ring B with respect to a ring homomorphism f from A to B, is prime, semiprime, semicommutative, nil-semicommutative ...
  • Waring-Goldbach problem with Piatetski-Shapiro primes 

    Akbal, Y.; Güloğlu, A. M. (Institut de Mathematique de Bordeaux, 2018)
    In this paper, we exhibit an asymptotic formula for the number of representations of a large integer as a sum of a fixed power of Piatetski-Shapiro primes, thereby establishing a variant of Waring-Goldbach problem with ...
  • Interpolation for completely positive maps: Numerical solutions 

    Ambrozie, C.; Gheondea, A. (Societatea de Stiinte Matematice din Romania, 2018)
    We present a few techniques to find completely positive maps between full matrix algebras taking prescribed values on given data, based on semidefinite programming, convex minimization supported by a numerical example, as ...
  • A nil approach to symmetricity of rings 

    Ungor, B.; Kose, H.; Kurtulmaz, H. Y.; Harmanci, A. (Allahabad Mathematical Society, 2018)
    We introduce a weakly symmetric ring which is a generalization of a symmetric ring and a strengthening of both a GWS ring and a weakly reversible ring, and investigate properties of the class of this kind of rings. A ring ...
  • The spectral theorem for locally normal operators 

    Gheondea, A. (AGH University of Science and Technology, 2018)
    We prove the spectral theorem for locally normal operators in terms of a locally spectral measure. In order to do this, we first obtain some characterisations of local projections and we single out and investigate the ...
  • Dimension functions for spherical fibrations 

    Okay, C.; Yalçin, E. (Mathematical Sciences Publishers, 2018)
    Given a spherical fibration ξ over the classifying space BG of a finite group G we define a dimension function for the m-fold fiber join of ξ, where m is some large positive integer. We show that the dimension functions ...
  • Bases in some spaces of Whitney functions 

    Goncharov, A.; Ural, Z. (Duke University Press, 2017-06-29)
    We construct topological bases in spaces of Whitney functions on Cantor sets, which were introduced by the first author. By means of suitable individual extensions of basis elements, we construct a linear continuous exten- ...
  • Arithmetic properties of coefficients of L-functions of elliptic curves 

    Güloğlu, A. M.; Luca, F.; Yalçiner, A. (Springer-Verlag Wien, 2018)
    Let ∑ n ⩾ 1ann- s be the L-series of an elliptic curve E defined over the rationals without complex multiplication. In this paper, we present certain similarities between the arithmetic properties of the coefficients ...
  • Rough values of Piatetski-Shapiro sequences 

    Akbal, Y. (Springer-Verlag Wien, 2018)
    An integer is called y-rough if it is composed solely of primes CloseSPigtSPi y. Let ⌊. ⌋ be the floor function. In this paper, we exhibit an asymptotic formula for the counting function of integers n⩽ x such that ⌊ nc⌋ ...
  • Lines on Smooth Polarized K3-Surfaces 

    Degtyarev, A. (Springer New York LLC, 2018)
    For each integer D⩾ 3 , we give a sharp bound on the number of lines contained in a smooth complex 2D-polarized K3-surface in PD + 1. In the two most interesting cases of sextics in P4 and octics in P5, the bounds are 42 ...
  • Surrounded Bonnor-Vaidya solution by cosmological fields 

    Heydarzade, Y.; Darabi, F. (Springer, 2018-12-11)
    In the present work, we generalize our previous work (Heydarzade and Darabi in arXiv:1710.04485, 2018 on the surrounded Vaidya solution by cosmological fields to the case of Bonnor-Vaidya charged solution. In this regard, ...
  • Stability of phase difference trajectories of networks of kuramoto oscillators with time-varying couplings and intrinsic frequencies 

    Lu, W.; Atay, F. M. (Society for Industrial and Applied Mathematics Publications, 2018)
    We study dynamics of phase differences (PDs) of coupled oscillators where both the intrinsic frequencies and the couplings vary in time. In the case the coupling coefficients are all nonnegative, we prove that the PDs are ...
  • Representation rings for fusion systems and dimension functions 

    Reeh, S. P.; Yalçın, E. (Springer Berlin Heidelberg, 2018)
    We define the representation ring of a saturated fusion system F as the Grothendieck ring of the semiring of F-stable representations, and study the dimension functions of F-stable representations using the transfer map ...
  • Symmetries versus conservation laws in dynamical quantum systems: a unifying approach through propagation of fixed points 

    Gheondea, A. (Birkhauser Verlag AG, 2018)
    We unify recent Noether-type theorems on the equivalence of symmetries with conservation laws for dynamical systems of Markov processes, of quantum operations, and of quantum stochastic maps, by means of some abstract ...
  • Classical double copy: Kerr-Schild-Kundt metrics from Yang-Mills theory 

    Gürses, M.; Tekin, B. (American Physical Society, 2018)
    The classical double copy idea relates some solutions of Einstein's theory with those of gauge and scalar field theories. We study the Kerr-Schild-Kundt (KSK) class of metrics in d dimensions in the context of possible new ...

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