Non degeneracy of the bubble in the critical case for non local equations

We prove the nondegeneracy of the extremals of the fractional Sobolev inequality as solutions of a critical semilinear nonlocal equation involving the fractional Laplacian

Nonlocal Delaunay surfaces

We construct codimension 1 surfaces of any dimension that minimize a periodic nonlocal perimeter functional among surfaces that are periodic, cylindrically symmetric and decreasing. These surfaces may be seen as a nonlocal analogue of the classical Delaunay surfaces (onduloids). For small volume, most of their mass tends to be concentrated in a periodic array and the surfaces are close to a periodic array of balls (in fact, we give explicit quantitative bounds on these facts)

Forecasting Spanish inflation using information from different sectors and geographical areas

This paper evaluates different strategies to forecast Spanish inflation using information of price series for 57 products and 18 regions in Spain. We consider vector equilibrium correction (VeqC) models that include cointegration relationships between Spanish prices and prices in the regions of Valencia, Andalusia, Madrid, Catalonia and the Basque Country. This approach is consistent with economic intuition and is shown to be of tangible importance after suitable econometric evaluation. It is found that inflation forecasts can always be improved by aggregating projections from differente sectors and geographical areas. Moreover, cointegration relationships between regional and national prices must be considered in order to obtain a significantly better inflation forecast.Vector equilibrium correction models, Relative prices, Cointegration, Disaggregation

Acerca de un título militar que emplea la grafía MAR.TU

At the beginning of the second millenium BC several kingdoms were established by Amorite chiefs belonging to different clans. In Syria, the kingdoms of Qatna, Alepo and Mari stood out. An important part of the history of Mari is due to the discovery of more than twenty thousand small boards of different literary genres. This new file found in the Great Palace of Mari casts new light on different events which happened in the first half of the eighteenth century BC. The two letters which we analyse are part of this documentation corpus collected in the so-called Archive of Mari. At the end of this research we conclude that the mariot scribes made use of the MAR. TU graphy to name the nomadic component and to refer to a high military postLa información que poseemos de la historia de la ciudad siria de Mari y sus relaciones diplomáticas con otros reinos y pueblos nómadas, ubicados dentro de su entomo geográfico, se debe al descubrimiento de más de veinte mil tablillas de diferentes géneros: económico-administrativo, religioso, epistolar. Este corpus de documentación se encuentra recogido en los Archivos Reales de Mari (ARM). Algunas de estas misivas hace alusión al título awilGAL.MAR.TU "hombre grande de los MAR.TU". Los escribas mariotas utilizaron la grafía MAR.TU, vocablo sumerio, con una doble acepción del término; designar a los jeques, dirigentes de alguna de las numerosas tribus nómadas procedentes del oeste, y a la vez, la alusión a un alto cargo militar