Mathematics / Matematik
Recent Submissions

Level set estimates for the discrete frequency function
(Springer, 201907)We introduce the discrete frequency function as a possible new approach to understanding the discrete HardyLittlewood maximal function. Considering that the discrete HardyLittlewood maximal function is given at each ... 
On the structure of modules defined by opposites of FP injectivity
(Springer, 201907)Let R be a ring with unity and let MR and RN be right and left modules,respectively. The module MR is said to be absolutely RNpure if M circle times NL circle times N is amonomorphism for every extension LR of MR. For a ... 
Well posedness conditions for planar conewise linear systems
(Sage Publications, 201905)In this study, we give wellposedness conditions for planar conewise linear systems where the vector field is not necessarily continuous. It is further shown that, for a certain class of planar conewise linear systems, ... 
A perturbative approach to the tunneling phenomena
(Frontiers Media S.A., 201905)The doublewell potential is a good example, where we can compute the splitting in the bound state energy of the system due to the tunneling effect with various methods, namely pathintegral, WKB, and instanton calculations. ... 
Traveling waves of DDEs with rational nonlinearity
(De Gruyter, 201608)It has been found that the dynamical behavior of many complex physical systems can be properly described by nonlinear DDEs. However, in the related literature, research focusing on such equations with rational nonlinearity ... 
Reidemeister torsion and orientable punctured surfaces
(Korean Mathematical Society, 2018)Let Σg,n,b denote the orientable surface obtained from the closed orientable surface Σg of genus g ≥ 2 by deleting the interior of n ≥ 1 distinct topological disks and b ≥ 1 points. Using the notion of symplectic chain ... 
A1L10 phase boundaries and anisotropy via multipleorderparameter theory for an fcc alloy
(European Mathematical Society Publishing House, 2003)The dependence of thermodynamic properties of planar interphase boundaries (IPBs) and antiphase boundaries (APBs) in a binary alloy on an fcc lattice is studied as a function of their orientation. Using a recently developed ... 
Erratum 2: Search for dark matter and unparticles in events with a Z boson and missing transverse momentum in protonproton collisions at √s=13 TeV
(Springer, 201801)In the original paper, figure 10 was incorrect. The correct figure is shown below. Additionally, the unparticle entries in table 3, as well as figure 4 and 5 were labelled with incorrect values of ΛU. The entries correctly ... 
Search for resonant and nonresonant Higgs boson pair production in the b b ¯final state in protonproton collisions at √s=13 TeV
(Springer, 201801)Searches for resonant and nonresonant pairproduced Higgs bosons (HH) decaying respectively into , through either W or Z bosons, and b b ¯ are presented. The analyses are based on a sample of protonproton collisions at ... 
Pseudorapidity distributions of charged hadrons in protonlead collisions at √sNN=5.02 and 8.16 TeV
(Springer, 201801)The pseudorapidity distributions of charged hadrons in protonlead collisions at nucleonnucleon centerofmass energies sNN=5.02 and 8.16 TeV are presented. The measurements are based on data samples collected by the CMS ... 
Search for supersymmetry in protonproton collisions at 13 TeV using identified top quarks
(American Physical Society, 201801)A search for supersymmetry is presented based on protonproton collision events containing identified hadronically decaying top quarks, no leptons, and an imbalance pTmiss in transverse momentum. The data were collected ... 
Search for low mass vector resonances decaying into quarkantiquark pairs in protonproton collisions at √s=13 TeV
(Springer, 201801)A search for narrow vector resonances decaying into quarkantiquark pairs is presented. The analysis is based on data collected in protonproton collisions at s=13 TeV with the CMS detector at the LHC, corresponding to an ... 
Combination of inclusive and differential tt¯ charge asymmetry measurements using ATLAS and CMS data at √s = 7 and 8 TeV
(Springer, 201801)This paper presents combinations of inclusive and differential measurements of the charge asymmetry (AC) in top quark pair (tt) events with a lepton+jets signature by the ATLAS and CMS Collaborations, using data from LHC ... 
On scattering from the onedimensional multiple Dirac delta potentials
(Institute of Physics Publishing, 201803)In this paper, we propose a pedagogical presentation of the LippmannSchwinger equation as a powerful tool, so as to obtain important scattering information. In particular, we consider a onedimensional system with a ... 
Pseudomultiscale functions for the stabilization of convectiondiffusion equations on rectangular grids
(Begell House, 2013)We propose a finite element method of PetrovGalerkin type for a singularly perturbed convection diffusion problem on a discretization consisting of rectangular elements. The method is based on enriching the finiteelement ... 
Convergence analysis and numerical solution of the BenjaminBonaMahony equation by LieTrotter splitting
(TUBITAK, 2018)In this paper, an operator splitting method is used to analyze nonlinear BenjaminBonaMahonytype equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then LieTrotter splitting ... 
Exactly solvable Hermite, Laguerre, and Jacobi type quantum parametric oscillators
(American Institute of Physics, 201612)We introduce exactly solvable quantum parametric oscillators, which are generalizations of the quantum problems related with the classical orthogonal polynomials of Hermite, Laguerre, and Jacobi type, introduced in the ... 
Analytic investigation of a reactionDiffusion brusselator model with the timespace fractional derivative
(De Gruyter, 201404)It is well known that many models in nonlinear science are described by fractional differential equations in which an unknown function appears under the operation of a derivative of fractional order. In this study, we ... 
On pseudo semisimple rings
(World Scientific Publishing, 201303)A necessary and sufficient condition is obtained for a right pseudo semisimple ring to be left pseudo semisimple. It is proved that a right pseudo semisimple ring is an internal exchange ring. It is also proved that a right ... 
Rings over which flat covers of simple modules are projective
(World Scientific Publishing, 201206)Let R be a ring with identity. We prove that, the flat cover of any simple right Rmodule is projective if and only if R is semilocal and J(R) is cotorsion if and only if R is semilocal and any indecomposable flat right ...