A non-intrusive technique has been developed for measuring agglomeration rate constants (β0) in a constant shear field. A particulate suspension with a mean particle diameter, d, of about 10 μm is introduced in an optically accessible cylindrical Couette flow device. The suspension is illuminated by means of a pulsed laser and observed with a CCD camera. The recorded images are analysed off-lin...

We study the probabilistic properties of the solutions of certain high-dimensional optimization problems arising in statistics. More specifically, if for 1 ≤ i ≤ n, Xi ∈ R and i ∈ R, we study the properties of β̂ = argminβ∈Rp 1 n n ∑ i=1 ρ( i −X ′ iβ) + τ 2 ‖β‖ , in the high-dimensional setting where p/n tends to a finite non-zero limit. While most the work is done for τ > 0, we show that under ...

We show that the Padé Approximant (PA) approach for resummation of perturbative series in QCD provides a systematic method for approximating the flow of momentum in Feynman diagrams. In the large-β0 limit, diagonal PA’s generalize the Brodsky-LepageMackenzie (BLM) scale-setting method to higher orders in a renormalization scaleand scheme-invariant manner, using multiple scales that represent Ne...

In this thesis, we propose to analyze panel count data using a spline-based sieve generalized estimating equation method with a semiparametric proportional mean model E(N(t)|Z) = Λ0 (t) e T 0 Z . The natural log of the baseline mean function, logΛ0 (t), is approximated by a monotone cubic B-spline function. The estimates of regression parameters and spline coefficients are the roots of the spli...

The observed two-point correlation functions of galaxies in redshift space become anisotropic due to the geometry of the universe as well as due to the presence of the peculiar velocity field. Expanding the induced anisotropies of the correlation functions with respect to the redshift z, we obtain explicit expressions for the deceleration parameter q0, the density parameter Ω0 and the derivativ...

Four new complex salts [Ru(II)Cl(Tpm)(L(A))2][PF6]n [Tpm = tris(1-pyrazolyl)methane; n = 1, L(A) = pyridine (py) 1 or ethyl isonicotinate (EIN) 2; n = 3, L(A) = N-methyl-4,4'-bipyridinium (MeQ(+)) 3 or N-phenyl-4,4'-bipyridinium (PhQ(+)) 4] have been prepared and characterized. Electronic absorption spectra show intense d → π* metal-to-ligand charge-transfer (MLCT) absorption bands, while cycli...