With 10m class telescopes as well as with time-tagging detectors on board of HST and FUSE, the analysis of time-resolved spectra for pulsating white dwarfs becomes feasible. We present simulated time-resolved spectra for the hot pulsating white dwarf PG 1159-035 and compare these models with observational data of the 516 s mode based on HST-STIS spectroscopy. A determination of the pulsation mo...

We present a new technique for proving empirical process invariance principle for stationary processes (Xn)n≥0. The main novelty of our approach lies in the fact that we only require the central limit theorem and a moment bound for a restricted class of functions (f(Xn))n≥0, not containing the indicator functions. Our approach can be applied to Markov chains and dynamical systems, using spectra...

Recent work of [Dasgupta-Kumar-Sarlós, STOC 2010] gave a sparse Johnson-Lindenstrauss transform and left as a main open question whether their construction could be efficiently derandomized. We answer their question affirmatively by giving an alternative proof of their result requiring only bounded independence hash functions. Furthermore, the sparsity bound obtained in our proof is improved. T...

In the present article, we introduce a model to investigate the energy spectrum of a relativistic rotor by considering the Klein-Gordon Hamiltonian. Rotational spectral lines are a signature of homonuclear and heteronuclear systems and play a key role in understanding diatomic molecules. We show that the energy-correction term arising due to unequal masses influences the line separation. Determ...

Consider the empirical spectral distribution of complex random n×n matrix whose entries are independent and identically distributed random variables with mean zero and variance 1/n. In this paper, via applying potential theory in the complex plane and analyzing extreme singular values, we prove that this distribution converges, with probability one, to the uniform distribution over the unit dis...

In this paper we nd a characterization for when a multivariable trigonometric polynomial can be written as a sum of squares. In addition, the truncated moment problem is addressed. A numerical algorithm for nding a sum of squares representation is presented as well. In the one-variable case, the algorithm nds a spectral factorization. The latter may also be used to nd inner-outer factor-izations.

Metal(II) complexes of hydrazine derived Schiff-base ligands of the type M(L)(2)Cl(2) where M = Co, Cu, Ni and Zn and L = L(1) and L(2) have been prepared and characterised by molar conductance, magnetic moment, elemental analysis and electronic, IR, H-NMR and (13)C spectral data.The different modes of chelation of the ligands and their comparative biological properties against different bacter...

We establish pointwise bounds for the Green function and consequent linearized stability for multidimensional planar relaxation shocks of general relaxation systems whose equilibrium model is scalar, under the necessary assumption of spectral stability. Moreover, we obtain nonlinear L asymptotic behavior/sharp decay rate of perturbed weak shocks of general simultaneously symmetrizable relaxatio...

In pre-consonantal position historical /s/ has changed to post-alveolar /ʃ/ in several different languages. This paper explores whether such cases of /s/>/ʃ/ might share a common phonetic origin. We test whether /s/ is more retracted before /t/ in production and in perception. Production data show that word-medial /s/ has a lower first spectral moment (henceforth, M1) before /t/ than before vow...

where X = (Xij)p×n consists of independent and identically distributed real random variables and T is a symmetric nonnegative definite nonrandom matrix. When p → ∞ and n → ∞ with p n → 0, it is shown that its empirical spectral distribution converges to a fixed distribution under the fourth moment condition. It is then discussed that such an asymptotic distribution can be used to derive an asym...