Asymptotic Padé-approximant methods are utilized to estimate the O(α5s) contribution to the H → gg rate and the O(α4s) contribution to the H → bb̄ rate. The former process is of particular interest because of the slow convergence evident from the three known terms of its QCD series, which begins with an O(α2s) leading-order term. The O(α5s) contribution to the H → gg rate is expressed as a degre...

In this paper we propose an optimisation approach to determining the optimal decay factor in time weighted (BRW) simulation. Testing of BRW simulation with different decay factors and competing VaR models is performed on a sample of nine Mediterranean countries, over a four year period that includes the ongoing financial crisis. After optimisation the BRW simulation is among the best performing...

Decay estimates for solutions to hyperbolic initial value problems play a central role in the perturbative existence theory for nonlinear equations. Traditionally, such estimates are proved either by considering the representation formula for the solution or by using the Fourier transform. The generalized energy method offers an alternative approach in problems which possess enough symmetry. Th...

We study the dispersive properties of the Schrödinger equation. Precisely, we look for estimates which give a control of the local regularity and decay at infinity separately. The Banach spaces that allow such a treatment are the Wiener amalgam spaces, and Strichartz-type estimates are proved in this framework. These estimates improve some of the classical ones in the case of large time.

In [16], we showed how to obtain Lp-decay rates for zero-mass perturbations of degenerate scalar viscous shock waves using energy methods. The proof is based upon previous work by Matsumura and Nishihara [12], by extending their weighted energy estimates to Lp-norms, and by obtaining sharp decay rates with the aid of basic interpolation inequalities. This contribution summarizes the results in ...

The process of direct two-proton decay of nuclei with Z 22-28 on the proton drip line is considered. On the basis of new Od3t2 Offi2 -shell-model mass extrapolations, '9Ti, 42Cr, 45Fe, Ni, and Ni are found to be bound to single-proton decay but unbound to two-proton decay. New estimates of the spectroscopic factors and lifetimes have been made. The decays of Ti, Fe, and Ni are found to be promi...

Relativistic mean field study of the newly discovered α-decay chain of Abstract The single particle structure of the low lying levels in the nuclei belonging to the newly observed α-decay chain starting from 287 115 has been studied. Relativistic mean field calculation with two forces NL1 and NL3 has been performed in the blocked BCS approximation. Q-values for possible decay have been calculat...

Bony and Häfner have recently obtained positive commutator estimates on the Laplacian in the low-energy limit on asymptotically Euclidean spaces; these estimates can be used to prove local energy decay estimates if the metric is non-trapping. We simplify the proof of the estimates of Bony-Häfner and generalize them to the setting of scattering manifolds (i.e. manifolds with large conic ends), b...