Numerical Tests of the Improved Fermilab Action

Recently, the Fermilab heavy-quark action was extended to include dimension-six and -seven operators in order to reduce the discretization errors. In this talk, we present results of the first numerical simulations with this action (the OK action), where we study the masses of the quarkonium and heavy-light systems. We calculate combinations of masses designed to test improvement and compare results obtained with the OK action to their counterparts obtained with the clover action. Our preliminary results show a clear improvement.Comment: 7 pages, 3 figures, Talk presented at 28th International Symposium On Lattice Field Theory (Lattice 2010) 13-19 Jun 2010, Villasimius, Sardinia, Ital

Role of Alpha Oscillations During Short Time Memory Task Investigated by Graph Based Partitioning

In this study, we investigate the clustering pattern of alpha band (8 Hz - 12 Hz) electroencephalogram (EEG) oscillations obtained from healthy individuals during a short time memory task with 3 different memory loads. The retention period during which subjects were asked to memorize a pattern in a square matrix is analyzed with a graph theoretical approach. The functional coupling among EEG electrodes are quantified via mutual information in the time-frequency plane. A spectral clustering algorithm followed by bootstrapping is used to parcellate memory related circuits and for identifying significant clusters in the brain. The main outcome of the study is that the size of the significant clusters formed by alpha oscillations decreases as the memory load increases. This finding corroborates the active inhibition hypothesis about alpha oscillations

Asymptotic analysis of non - self - adjoint Hill operators

We obtain uniform asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators L (t) (q) with a potential q a L (1)[0,1] and t-periodic boundary conditions, t a (-pi, pi]. Using these formulas, we find sufficient conditions on the potential q such that the number of spectral singularities in the spectrum of the Hill operator L(q) in L (2)(-a,a) is finite. Then we prove that the operator L(q) has no spectral singularities at infinity and it is an asymptotically spectral operator provided that the potential q satisfies sufficient conditions

Multidimensional periodic Schrödinger operator: Perturbation theory and applications

Veliev, Oktay A. (Dogus Author)The book describes the direct problems and the inverse problem of the multidimensional Schrödinger operator with a periodic potential. This concerns perturbation theory and constructive determination of the spectral invariants and finding the periodic potential from the given Bloch eigenvalues. The unique method of this book derives the asymptotic formulas for Bloch eigenvalues and Bloch functions for arbitrary dimension. Moreover, the measure of the iso-energetic surfaces in the high energy region is construct and estimated. It implies the validity of the Bethe-Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed in this book, the spectral invariants of the multidimensional operator from the given Bloch eigenvalues are determined. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential. This way the possibility to determine the potential constructively by using Bloch eigenvalues as input data is given. In the end an algorithm for the unique determination of the potential is given

The spectrum of radial, orbital and gluonic excitations of charmonium

We present results for the charmonium spectrum from $N_f=2$ dynamical QCD simulations on $12^3\times 80$ anisotropic lattices. Using all-to-all propagators we determine the ground and excited states of S, P and D waves and hybrids. We also evaluate the disconnected (OZI suppressed) contribution to the $\eta_c$ and $J/\Psi$Comment: 6 pages, 3 figures, Presented at 24th International Symposium on Lattice Field Theory (Lattice 2006), Tucson, Arizona, 23-28 Jul 200

Self-adjoint olmayan diferansiyel operatörlerin spektral analizi

Veliev, Oktay A. (Dogus Author)Bu projede vermiş olduğumuz yöntemlerle diferensiyel operatörlerin özdeğerleri ve özfonksiyonları için yeni asimptotik formüller bulundu ve bu formülleri kullanarak adi diferensiyel denklemle ve denklem sistemiyle üretilen self-adjoint olmayan diferensiyel operatörlerin kök fonksiyonunun Riesz tabanı için gerek ve yeter şartları elde ettik. Daha sonra, bu formüller periodic katsayılı denklem sistemleri tarafından üretilen diferensiyel operatörlerin spektrumunun incelenmesine ve kuantum mekanikte önemli olan çok boyutlu Schrödinger operatörünün ters problemlerinin öğrenilmesine uyğulanmıştır.TÜBİTA

On the simplicity of the eigenvalues of non-self-adjoint mathieu-hill operators

Firstly, we analyze some spectral properties of the non-self-adjoint Hill operator with piecewise continuous even potential. Then using this we find conditions on the potential of the non-self-adjoint Mathieu operator, such that all eigenvalues of the periodic, antiperiodic, Dirichlet, and Neumann boundary value problems are simple

Critical success factors of business process management:investigating the coverage of business process (management) maturity models

Business Process Management (BPM) aims to improve the quality of business processes by consolidating the concepts of modelling, reengineering, automation, management, and innovation. Tailoring multi-faceted BPM to specific contexts of organizations on the ground of fast-growing information technology is the challenge of the current decade. A considerable number of critical success factors (CSFs) for BPM has been proposed by various studies in the scientific literature to provide insight into the process of achieving BPM. However, only few of these studies propose guidelines/practices for addressing the CSFs. This study is intended to provide a state-of-the-art of CSFs of BPM by a systematic review of scientific literature and to investigate content coverage of business process maturity models as a potential enabler of realization of these CSFs. We searched the studies between the years 2000 and 2015 in established digital libraries and identified 14 CSF categories from 18 studies out of 242 studies retrieved initially. Following that, we searched for evidence on the existence of each CSF category in five maturity models, namely Business Process Management Capability Framework (BPM-CF), Business Process Orientation Maturity Model (BPO-MM), Business Process Orientation Maturity Framework (BPO-MF), Business Process Maturity Model (OMG-BPMM), and Process and Enterprise Maturity Model (PEMM). The findings from our investigation show that, despite the variance in degree of coverage of CSF categories by selected BPMMs, maturity models stand as a promising reference for organizations to start their BPM efforts.\u3cbr/\u3