In the present paper we consider Neumann Laplacians on singular domains of the type “rooms
and passages” or “combs” and we show that, in typical situations, the essential spectrum …

We announce a proof of an asymptotic formula for the groundstate energy of a large atom.
The early work of Thomas-Fermi, Hartree-Fock, Dirac, and Scott predicted that for an atomic …

In [FSl] we announced a precise asymptotic formula for the groundstate energy of a large
atom. One part of our proof of that formula is a refined analysis of the eigenvalues and …

In this paper we consider a portfolio optimization problem where the underlying asset returns
are distributed as a mixture of two multivariate Gaussians; these two Gaussians may be …

Background The use of antibiotic prophylaxis for hernia repair is currently a controversial
issue given the disparity among study results in this area. Objectives The objective of this …

Performance measurement that accurately reflects the goals of fund investors and managers
has long been a topic of active discussion. Most modern performance measures differ from …

Although investing in environmental, social, and governance (ESG)-driven portfolios is
already a large and growing portion of global assets under management, applications of …

Quantum mechanics is an area which, over the last ten years or so, has sparked a respectable
amount of rigorous computer assisted work (see, for example [9, 13, 20, 39, 38], and their …

This paper investigates and compares the performances of the optimal portfolio selected by
using the Orthogonal GARCH (OGARCH) Model, Markov Switching Model and the …

Review of earlier results. A reformulation of the eigenvalue theorem. Approximating sums by
integrals. The microlocalized density in the Airey region I. The microlocalized density in the …