Mathematics / Matematik
http://hdl.handle.net/11147/8
Collection of Mathematics / Matematik Bölümü koleksiyonu
20171119T12:26:32Z

Finiteparameter feedback control for stabilizing the complex Ginzburg–Landau equation
http://hdl.handle.net/11147/6481
Finiteparameter feedback control for stabilizing the complex Ginzburg–Landau equation
Kalantarova, Jamila; Özsarı, Türker
In this paper, we prove the exponential stabilization of solutions for complex Ginzburg–Landau equations using finiteparameter feedback control algorithms, which employ finitely many volume elements, Fourier modes or nodal observables (controllers). We also propose a feedback control for steering solutions of the Ginzburg–Landau equation to a desired solution of the noncontrolled system. In this latter problem, the feedback controller also involves the measurement of the solution to the noncontrolled system.
20170801T00:00:00Z

A singular onedimensional bound state problem and its degeneracies
http://hdl.handle.net/11147/6472
A singular onedimensional bound state problem and its degeneracies
Erman, Fatih; Gadella, Manuel; Tunalı, Seçil; Uncu, Haydar
We give a brief exposition of the formulation of the bound state problem for the onedimensional system of N attractive Dirac delta potentials, as an N× N matrix eigenvalue problem (ΦA= ωA). The main aim of this paper is to illustrate that the nondegeneracy theorem in one dimension breaks down for the equidistantly distributed Dirac delta potential, where the matrix Φ becomes a special form of the circulant matrix. We then give elementary proof that the ground state is always nondegenerate and the associated wave function may be chosen to be positive by using the PerronFrobenius theorem. We also prove that removing a single center from the system of N delta centers shifts all the bound state energy levels upward as a simple consequence of the Cauchy interlacing theorem.
20170801T00:00:00Z

Measurement of the inclusive energy spectrum in the very forward direction in protonproton collisions at √s=13 TeV
http://hdl.handle.net/11147/6471
Measurement of the inclusive energy spectrum in the very forward direction in protonproton collisions at √s=13 TeV
CMS Collaboration; Karapınar, Güler
The differential cross section for inclusive particle production as a function of energy in protonproton collisions at a centerofmass energy of 13 TeV is measured in the very forward region of the CMS detector. The measurement is based on data collected with the CMS apparatus at the LHC, and corresponds to an integrated luminosity of 0.34 μb−1. The energy is measured in the CASTOR calorimeter, which covers the pseudorapidity region −6.6 < η < −5.2. The results are given as a function of the total energy deposited in CASTOR, as well as of its electromagnetic and hadronic components. The spectra are sensitive to the modeling of multiparton interactions in pp collisions, and provide new constraints for hadronic interaction models used in collider and in high energy cosmic ray physics.
20170801T00:00:00Z

Search for top quark partners with charge 5/3 in protonproton collisions at √s=13 TeV
http://hdl.handle.net/11147/6470
Search for top quark partners with charge 5/3 in protonproton collisions at √s=13 TeV
CMS Collaboration; Karapınar, Güler
A search for the production of heavy partners of the top quark with charge 5/3 (X5/3) decaying into a top quark and a W boson is performed with a data sample corresponding to an integrated luminosity of 2.3 fb−1, collected in protonproton collisions at a centerofmass energy of 13 TeV with the CMS detector at the CERN LHC. Final states with either a pair of samesign leptons or a single lepton, along with jets, are considered. No significant excess is observed in the data above the expected standard model background contribution and an X5/3 quark with righthanded (lefthanded) couplings is excluded at 95% confidence level for masses below 1020 (990) GeV. These are the first limits based on a combination of the samesign dilepton and the singlelepton final states, as well as the most stringent limits on the X5/3 mass to date.[Figure not available: see fulltext.]. © 2017, The Author(s).
20170801T00:00:00Z