Transformations of European Financial Instruments in the Context of European Enlargement Process

The necessity of a regional development policy at the nowadays’ European Union level has become vital since the beginning of the enlargement process in 1973 when to those six founding states (Belgium, France, Germany, Italy, Luxembourg and Netherlands) subjoined Great Britain, Ireland and Denmark. In 1957 when European Economic Community was founded, the EU-6 recorded a similar development level, the regional problems being isolated only in Southern part of Italy. Although on Italy request, the Treaty ascertained the existence of some inequities between prosperity levels of different regions, article 130 was one of the fundamental motives of creating the European Investment Bank, which may be considered one of the regional policy instruments. The enlargement process increased regional problems, major disparities regarding the economic development level being recorded between EU-6 regions and regions of the new member states (North part of England and North part of Ireland). Rural areas from Denmark and Ireland recorded a precarious development compared with similar areas from member states, and mining regions of Great Britain were confronted with industrial re-conversion problems. These kinds of problems existed even inside member states so that carboniferous regions Lorena (France), Ruhr (Germany), South part of Belgium were strongly affected by the deindustrialisation process. These situations led to the creation of the European Regional Development Fund in 1975 and its main objective at that moment was promoting innovation and infrastructure development in order to adjust the existing discrepancies at the Community level.European Financial instruments, European Regional Development Fund, economic development

Constraining multiple systems with GAIA

GAIA will provide observations of some multiple asteroid and dwarf systems. These observations are a way to determine and improve the quantification of dynamical parameters, such as the masses and the gravity fields, in these multiple systems. Here we investigate this problem in the cases of Pluto's and Eugenia's system. We simulate observations reproducing an approximate planning of the GAIA observations for both systems, as well as the New Horizons observations of Pluto. We have developed a numerical model reproducing the specific behavior of multiple asteroid system around the Sun and fit it to the simulated observations using least-square method, giving the uncertainties on the fitted parameters. We found that GAIA will improve significantly the precision of Pluto's and Charon's mass, as well as Petit Prince's orbital elements and Eugenia's polar oblateness.Comment: 5 pages, accepted by Planetary and Space Science, Gaia GREAT-SSO-Pis

On the distribution of adjectives in Romanian : the cel construction

This paper deals with the variable position of adjectives in the Romanian DP. As all other Romance languages, Romanian allows for adjectives to appear in both prenominal and post-nominal position. In addition, however, Romanian has a third pattern: the so-called cel construction, in which the adjective in the post-nominal position is preceded by a determiner-like element, cel. This pattern is superficially similar to Determiner Spreading in Greek. In this paper we contrast the cel construction to Greek DS and discuss the similarities and differences between the two. We then present an analysis of cel as involving an appositive specification clause, building on de Vries (2002). We argue that the same structure is also involved in the context of nominal ellipsis, the second environment in which cel is found

Existence and non existence results for the singular Nirenberg problem

In this paper we study the problem, posed by Troyanov (Trans AMS 324: 793–821, 1991), of prescribing the Gaussian curvature under a conformal change of the metric on surfaces with conical singularities. Such geometrical problem can be reduced to the solvability of a nonlinear PDE with exponential type non-linearity admitting a variational structure. In particular, we are concerned with the case where the prescribed function K changes sign. When the surface is the standard sphere, namely for the singular Nirenberg problem, we give sufficient conditions on K, concerning mainly the regularity of its nodal line and the topology of its positive nodal region, to be the Gaussian curvature of a conformal metric with assigned conical singularities. Besides, we find a class of functions on S^2 which do not verify our conditions and which can not be realized as the Gaussian curvature of any conformal metric with one conical singularity. This shows that our result is somehow sharp

Sign changing solutions of Lane Emden problems with interior nodal line and semilinear heat equations

We consider the semilinear Lane Emden problem in a smooth bounded simply connected domain in the plane, invariant by the action of a finite symmetry group G. We show that if the orbit of each point in the domain, under the action of the group G, has cardinality greater than or equal to four then, for p sufficiently large, there exists a sign changing solution of the problem with two nodal regions whose nodal line does not touch the boundary of the domain. This result is proved as a consequence of an analogous result for the associated parabolic problem

Kramers-Wannier duality and worldline representation for the SU(2) principal chiral model

In this letter we explore different representations of the SU(2) principal chiral model on the lattice. We couple chemical potentials to two of the conserved charges to induce finite density. This leads to a complex action such that the conventional field representation cannot be used for a Monte Carlo simulation. Using the recently developed Abelian color flux approach we derive a new worldline representation where the partition sum has only real and positive weights, such that a Monte Carlo simulation is possible. In a second step we transform the model to new dual variables in the Kramers-Wannier (KW) sense, such that the constraints are automatically fulfilled, and we obtain a second representation free of the complex action problem. We implement exploratory Monte Carlo simulations for both, the worldline, as well as the KW-dual form, for cross-checking the two dualizations and a first assessment of their potential for dual simulations.Comment: Comments and a new plot for the relative errors added. Version to appear in Physics Letters