Lower semicontinuity of the feasible set mapping of linear systems relative to their domains

This paper deals with stability properties of the feasible set of linear inequality systems having a finite number of variables and an arbitrary number of constraints. Several types of perturbations preserving consistency are considered, affecting respectively, all of the data, the left-hand side data, or the right-hand side coefficients.

Updating the marine biostratigraphy of the Granada Basin (central Betic Cordillera). Insight for the Late Miocene palaeogeographic evolution of the Atlantic – Mediterranean seaway

The marine stratigraphic record of the Granada Basin (central Betic Cordillera, Spain) is composed of three Late Miocene genetic units deposited in different sea-level contexts (from base to top): Unit I (sea-level rise), Unit II (high sea-level), and Unit III (low sea-level). The latter mainly consists of evaporites precipitated in a shallow-basin setting. Biostratigraphic analyses based on planktonic foraminifera and calcareous nannoplankton indicate four late Tortonian bioevents (PF1-CN1, PF2, PF3, and PF4), which can be correlated with astronomically-dated events in other sections of the Mediterranean. PF1-CN1 (7.89 Ma) is characterized by the influx of the Globorotalia conomiozea group (including typical forms of Globorotalia mediterranea) and by the first common occurrence of Discoaster surculus; PF2 (7.84 Ma) is marked by the first common occurrence of Globorotalia suterae; PF3 (7.69 Ma) is typified by the influx of dextral Neogloboquadrina acostaensis; and PF4 (7.37 Ma) is defined by the influx of the Globorotalia menardii group II (dextral forms). The PF1 event occurred in the upper part of Unit I, whereas PF2 to PF4 events occurred successively within Unit II. The age of Unit III (evaporites) can only be estimated in its lower part based on the presence of dextral Globorotalia scitula, which, together with the absence of the first common occurrence of the G. conomiozea group (7.24 Ma), points to the latest Tortonian. Comparisons with data from the other Betic basins indicate that the evaporitic phase of the Granada Basin (7.37–7.24 Ma) is not synchronous with those from the Lorca Basin (7.80 Ma) and the Fortuna Basin (7.6 Ma). In the Bajo Segura Basin (easternmost Betic Cordillera), no evaporite deposition occurred during the late Tortonian. The evaporitic unit of the Granada Basin (central Betics) records the late Tortonian restriction of the Betic seaway (the marine connection between the Atlantic and Mediterranean). The diachrony in the restriction of the Betic seaway is related to differing tectonic movements in the central and eastern sectors of the Betic Cordillera.

Nannoplankton and planktonic foraminifera biostratigraphy of the eastern Betics during the Tortonian (SE Spain)

El final del Serravalliense y principio del Tortoniense es un periodo de fuerte actividad tectónica en la Cordillera Bética. Además, existe un debate sobre la existencia de sedimentos de edad Tortoniense inferior al no existir claras atribuciones fósiles en esa edad. Estos sedimentos se asignan a dicha edad por criterios indirectos, tanto estratigráficos como por la ausencia de contenido fósil más antiguo o más reciente. En este trabajo se describe la sección compuesta de Les Moreres-Albatera, que es probablemente una de las secciones más completas de edad Tortoniense en la bibliografía de la Cordillera Bética, pese a tener un importante hiato de cerca de 1 Millón de años ligado a un evento tectónico intra-Tortoniense. La sección presenta dos unidades litológicas calizas a la base (El Castellà) y al techo (Las Ventanas) y dos unidades intermedias margosas, la inferior, llamada Les Moreres, y la superior, Galería de los Suizos se encuentran separadas por el conglomerado de la Raya del Búho. Se han identificado las biozonas de nanofósiles calcáreos CN5b/NN7 a CN9a/NN11a (Okada & Bukry, 1980; Martini, 1971) y de foraminíferos planctónicos de MMi9 a MMi12a (Lourens et al., 2004). La biostratigrafía de los primeros ha permitido identificar un hiato que incluye la parte alta de las biozonas CN7/NN9 hasta la parte baja de CN9a/NN11a (Okada & Bukry, 1980; Martini, 1971). La integración de los datos biostratigráficos con los paleomagnéticos en la sección Albatera permite la calibración del límite de los magnetocrones C4r.1r/C4n.2n.

Constraining the GRB-Magnetar Model by Means of the Galactic Pulsar Population

A large fraction of Gamma-ray bursts (GRBs) displays an X-ray plateau phase within <105 s from the prompt emission, proposed to be powered by the spin-down energy of a rapidly spinning newly born magnetar. In this work we use the properties of the Galactic neutron star population to constrain the GRB-magnetar scenario. We re-analyze the X-ray plateaus of all Swift GRBs with known redshift, between 2005 January and 2014 August. From the derived initial magnetic field distribution for the possible magnetars left behind by the GRBs, we study the evolution and properties of a simulated GRB-magnetar population using numerical simulations of magnetic field evolution, coupled with Monte Carlo simulations of Pulsar Population Synthesis in our Galaxy. We find that if the GRB X-ray plateaus are powered by the rotational energy of a newly formed magnetar, the current observational properties of the Galactic magnetar population are not compatible with being formed within the GRB scenario (regardless of the GRB type or rate at z = 0). Direct consequences would be that we should allow the existence of magnetars and "super-magnetars" having different progenitors, and that Type Ib/c SNe related to Long GRBs form systematically neutron stars with higher initial magnetic fields. We put an upper limit of ≤16 "super-magnetars" formed by a GRB in our Galaxy in the past Myr (at 99% c.l.). This limit is somewhat smaller than what is roughly expected from Long GRB rates, although the very large uncertainties do not allow us to draw strong conclusion in this respect.