EDV – Italian Medieval Epigraphy in the Vernacular. Some Editorial Problems Discussed,

EDV (Epigraphic Database Vernacular) is a database collecting the vernacular inscriptions produced in Italy from the late Medieval to the Early Modern Age, and is a part of the EAGLE and IDEA projects. The present contribution illustrates the criteria used for the description and indexing of all inscriptions that record public script in language(s) other than Latin. The material is very varied as regards language, script, provenance, support and function. The author discusses briefly the editorial criteria that may prove most appropriate for its publication

Chameleon Cosmology Model Describing the Phantom Divide Line Crossing

An exact solution describing the evolution of the type Bang-to-Rip with the phantom divide line crossing is constructed in the Chameleon cosmology model, based on two independent functions of the scalar field.Comment: 9 page

PT-symmetric sextic potentials

The family of complex PT-symmetric sextic potentials is studied to show that for various cases the system is essentially quasi-solvable and possesses real, discrete energy eigenvalues. For a particular choice of parameters, we find that under supersymmetric transformations the underlying potential picks up a reflectionless part.Comment: 8 pages, LaTeX with amssym, no figure

Market and Supervisory Information: Some Evidence from Italian Banks

There is an increasing debate on the potential use of the signals arising from financial markets as a complement to the information set available to supervisors. Following this stream of research, this paper provides for the first time some empirical evidence on Italian banks, using a unique dataset matching accounting ratios, equity-market variables and supervisory judgements. More specifically, we analyse the behaviour of four well-used equity-based indicators for the Italian banks whose shares were listed on the Milan stock exchange between 1995 and 2002 and look at the correlation across banks and across indicators, verifying what type of signal (if any) different variables are able to convey. Moreover, we investigate whether equity-based indicators provide additional information for supervisors with respect to the set of data they usually rely on, assuming the supervisory ratings as a benchmark.Bank; supervision; market discipline; early warning

PT Symmetric Schr\"odinger Operators: Reality of the Perturbed Eigenvalues

We prove the reality of the perturbed eigenvalues of some PT symmetric Hamiltonians of physical interest by means of stability methods. In particular we study 2-dimensional generalized harmonic oscillators with polynomial perturbation and the one-dimensional $x^2(ix)^{\epsilon}$ for $-1<\epsilon<0$

Numerical integration of the contravariant integral form of the Navier–Stokes equations in time-dependent curvilinear coordinate systems for three-dimensional free surface flows

We propose a three-dimensional non-hydrostatic shock-capturing numerical model for the simulation of wave propagation, transformation and breaking, which is based on an original integral formulation of the contravariant Navier–Stokes equations, devoid of Christoffel symbols, in general time-dependent curvilinear coordinates. A coordinate transformation maps the time-varying irregular physical domain that reproduces the complex geometries of coastal regions to a fixed uniform computational one. The advancing of the solution is performed by a second-order accurate strong stability preserving Runge–Kutta fractional-step method in which, at every stage of the method, a predictor velocity field is obtained by the shock-capturing scheme and a corrector velocity field is added to the previous one, to produce a non-hydrostatic divergence-free velocity field and update the water depth. The corrector velocity field is obtained by numerically solving a Poisson equation, expressed in integral contravariant form, by a multigrid technique which uses a four-colour Zebra Gauss–Seidel line-by-line method as smoother. Several test cases are used to verify the dispersion and shock-capturing properties of the proposed model in time-dependent curvilinear grids