Complex contact manifolds and S1 actions

We prove rigidity and vanishing theorems for several holomorphic Euler characteristics on complex contact manifolds admitting holomorphic circle actions preserving the contact structure. Such vanishings are reminiscent of those of LeBrun and Salamon on Fano contact manifolds but under a symmetry assumption instead of a curvature condition.

Primordial Perturbations in Einstein-Aether theories

El nostre objectiu es l'estudi d'extensions de la Relativitat General i, en particular, estem interessats en les teories que continguin camps vectorials addicionals. En aquests tipus de teories es necessari imposar que el vector ha de tenir norma fixa per evitar la presència d'un fantasma o grau de llibertat amb terme cinètic negatiu, i això implica que la simetria Lorentz està trencada espontàniament. El camp del aether només interactua gravitatòriament i la seva presència es difícil de detectar, no obstant això, durant inflació les fluctuacions del buit a escales petites d'un camp lleuger pot deixar una empremta en observables com les anisotropies del fons de radiació de microones. Les fluctuacions del Einstein-aether es comporten com els camps sense massa i això fa que inflació generi modes de longitud de ona llarga en els sectors escalar i vectorial. Hem estudiat la signatura del Einstein-aether dins l'espectre de pertorbacions primordials lluny del límit de de Sitter de inflació. Aquests modes escalars i vectorials poden deixar una empremta significativa en la radiació de fons de microones en funció dels paràmetres del model. Les observacions del fons de radiació de microones imposen restriccions fenomenològiques que redueixen els límits existents per aquesta classe de teoria. Amb aquest estudi del aether també esperem millorar el coneixement que tenim de una classe més ampla de teories que exhibeixen el mateix tipus de trencament de simetria.

Estimation of parametric and nonparametric models for univariate claim severity distributions - an approach using R

This paper presents an analysis of motor vehicle insurance claims relating to vehicle damage and to associated medical expenses. We use univariate severity distributions estimated with parametric and non-parametric methods. The methods are implemented using the statistical package R. Parametric analysis is limited to estimation of normal and lognormal distributions for each of the two claim types. The nonparametric analysis presented involves kernel density estimation. We illustrate the benefits of applying transformations to data prior to employing kernel based methods. We use a log-transformation and an optimal transformation amongst a class of transformations that produces symmetry in the data. The central aim of this paper is to provide educators with material that can be used in the classroom to teach statistical estimation methods, goodness of fit analysis and importantly statistical computing in the context of insurance and risk management. To this end, we have included in the Appendix of this paper all the R code that has been used in the analysis so that readers, both students and educators, can fully explore the techniques described

Extensional flow of nematic liquid crystal under electric field gradient

Systematic asymptotic methods are used to formulate a model for the extensional flow of a thin sheet of nematic liquid crystal. With no external body forces applied, the model is found to be equivalent to the so-called Trouton model for Newtonian sheets (and fi bers), albeit with a modi fied "Trouton ratio". However, with a symmetry-breaking electric field gradient applied, behavior deviates from the Newtonian case, and the sheet can undergo fi nite-time breakup if a suitable destabilizing field is applied. Some simple exact solutions are presented to illustrate the results in certain idealized limits, as well as sample numerical results to the full model equations.

Implicació de la inflamació i la resposta immunitària en la lesió induïda per la isquèmia

El sistema nerviós central (SNC) i el sistema immunitari (SI) estan estretament connectats. Es produeixen nombroses alteracions en el sistema immunitari després de la isquèmia i la inflamació es reconeix com una de les principals causes de la progressió de la lesió isquèmica. És molt important determinar el paper de les diferents cèl•lules implicades en la resposta immunitària i inflamatòria després de la isquèmia i el perfil de citocines que s’alliberen. A partir de l’estudi de les diferents poblacions de leucòcits en sang circulant després de la isquèmia, hem determinat que la subpoblació de monòcits (CD43high/CD11bhigh) augmenta a 48h de manera proporcional al volum d’infart. Aquesta població està formada per dos subtipus descrits de monòcits, els no clàssics (CD43high/Ly6C-) i els intermedis (CD43high/Ly6Cdim), i sembla expressar un perfil de citocines anti-inflamatòries així com una major capacitat fagocítica. Per altra banda, observem la presència de CD43 en el cervell i la seva degradació a 4 dies després de la isquèmia. També s’observa l’aparició de la fracció soluble del CD43 en el parènquima cerebral després del trencament de la barrera hematoencefàlica. Addicionalment, hem estudiat com s’alteren els canvis a nivell immunològic en ratolins deficients en CD69 i hem observat una pitjor progressió del volum d’infart en els animals CD69KO. A més a més hem volgut esbrinar el paper dels limfòcits utilitzant ratolins RAG (-/-) que tenen infarts més petits que els WT, però quan aquests careixen de CD69, tenen infarts significativament més grans. En l’estudi del procés inflamatori en la isquèmica, hem treballat amb ratolins deficient en ApoE i IL10. Pel que fa als ratolins ApoE (-/-), observem que tenen un volum d’infart més gran a les 24h i que es manté fins als 4 dies, i proposem que NFkB pot tenir un paper molt rellevant en aquest procés. Pel que fa a la IL-10, els animals deficients en aquesta citocina presenten un volum d’infart major i una expressió de citocines proinflamatòries més alt. A més a més, els ratolins IL10 KO presenten uns nivells de IL-12 més elevats de manera basal, i proposem que això és degut a la falta de la IL-10 per a inhibir la via.

Estudio de clasificación de los proyectos informáticos y del establecimiento de su estructura de descomposición del trabajo (EDT)

L'objectiu d'aquest treball és establir un criteri de classificació dels projectes informàtics, trobar-ne els diferents tipus i desenvolupar les estructures de descomposició del treball (EDT) per a cada tipus. Aquest criteri s'orientarà a fixar les màximes diferències entre tipus. Una vegada se'ls hagi localitzat, s'establiran les EDT corresponents a cada tipus, centrant el desenvolupament de cada estructura a reflectir les diferències entre les distintes descomposicions.

Classificació dels projectes informàtics i les EDT's

Aquest projecte tracta de recopilar tots els conceptes, criteris i característiques que es poden aplicar a un projecte amb l'ànim de que els lliuraments de projectes siguin fidels i es corresponguin amb la pràctica i realitat del servei o producte que es desitgi desenvolupar. Per garantir l'èxit ens centrarem en el disseny, planificació i visualització dels projectes fent ús de les WBS (Work Breakdown Structure) o EDT (Estructura del treball). Aquesta tècnica permet a l'equip de projecte exposar esquemàticament quin és el seu abast i socialitzar-les entre els diversos actors o persones involucrades de manera clara i esquematitzada.

La selva tecnológica: sistemas socitécnicos y antropología simétrica en comunidades ribereñas del Bajo Amazonas

El objetivo de esta tesis es reinterpretar la idea “tecnología” partiendo del ejemplo etnográfico de varias comunidades ribereñas del Bajo Amazonas. La hipótesis que va a defenderse es que si se trasciende la perspectiva técnica y se analiza la “tecnología” desde un punto de vista antropológico, ésta se revela como algo indisociable de otras dimensiones sociales como 1. el cuerpo, 2. el conocimiento local 3. la modernización, 4. la política agraria y 5. la espiritualidad. Los datos etnográficos se han obtenido durante diez meses de trabajo de campo en diversas comunidades ribereñas formadas, principalmente, por población mestiza. La situación híbrida de estos ribereños, que mantienen las técnicas tradicionales indígenas y a la vez se acomodan al influjo de la modernidad, permite tender un puente analítico entre la tecnología amazónica y la tecnología “occidental”. El objetivo teórico que subyace a la propia etnografía es establecer un eje de simetría entre ambos sistemas sociotécnicos, para lo cual se propone evitar la valoración de la tecnología en tanto que instrumento y einterpretarla como estrategia relacional. Partiendo de esa perspectiva analítica, a lo largo de este trabajo se verá cómo la antropología amazónica y la antropología de la tecnología, aparentemente disociadas, confluyen en un cuadro interpretativo según el cual los ribereños del Bajo Amazonas (y si la simetría es correcta, también la población postindustrial), tienden a disolver la clásica distinción naturaleza/cultura en la continuidad relacional generada por sus sistemas tecnológicos.

KAM theory for conformally symplectic systems

We present a KAM theory for some dissipative systems (geometrically, these are conformally symplectic systems, i.e. systems that transform a symplectic form into a multiple of itself). For systems with n degrees of freedom depending on n parameters we show that it is possible to find solutions with n-dimensional (Diophantine) frequencies by adjusting the parameters. We do not assume that the system is close to integrable, but we use an a-posteriori format. Our unknowns are a parameterization of the solution and a parameter. We show that if there is a sufficiently approximate solution of the invariance equation, which also satisfies some explicit non–degeneracy conditions, then there is a true solution nearby. We present results both in Sobolev norms and in analytic norms. The a–posteriori format has several consequences: A) smooth dependence on the parameters, including the singular limit of zero dissipation; B) estimates on the measure of parameters covered by quasi–periodic solutions; C) convergence of perturbative expansions in analytic systems; D) bootstrap of regularity (i.e., that all tori which are smooth enough are analytic if the map is analytic); E) a numerically efficient criterion for the break–down of the quasi–periodic solutions. The proof is based on an iterative quadratically convergent method and on suitable estimates on the (analytical and Sobolev) norms of the approximate solution. The iterative step takes advantage of some geometric identities, which give a very useful coordinate system in the neighborhood of invariant (or approximately invariant) tori. This system of coordinates has several other uses: A) it shows that for dissipative conformally symplectic systems the quasi–periodic solutions are attractors, B) it leads to efficient algorithms, which have been implemented elsewhere. Details of the proof are given mainly for maps, but we also explain the slight modifications needed for flows and we devote the appendix to present explicit algorithms for flows.

Universality class of fiber bundles with strong heterogeneities

We study the effect of strong heterogeneities on the fracture of disordered materials using a fiber bundle model. The bundle is composed of two subsets of fibers, i.e. a fraction 0 ≤ α ≤ 1 of fibers is unbreakable, while the remaining 1 - α fraction is characterized by a distribution of breaking thresholds. Assuming global load sharing, we show analytically that there exists a critical fraction of the components αc which separates two qualitatively diferent regimes of the system: below αc the burst size distribution is a power law with the usual exponent Ƭ= 5/2, while above αc the exponent switches to a lower value Ƭ = 9/4 and a cutoff function occurs with a diverging characteristic size. Analyzing the macroscopic response of the system we demonstrate that the transition is conditioned to disorder distributions where the constitutive curve has a single maximum and an inflexion point defining a novel universality class of breakdown phenomena

Role of Particle Shape on the Stress Propagation in Granular Packings

We present an experimental and numerical study on the influence that particle aspect ratio has on the mechanical and structural properties of granular packings. For grains with maximal symmetry (squares), the stress propagation in the packing localizes forming chainlike forces analogous to the ones observed for spherical grains. This scenario can be understood in terms of stochastic models of aggregation and random multiplicative processes. As the grains elongate, the stress propagation is strongly affected. The interparticle normal force distribution tends toward a Gaussian, and, correspondingly, the force chains spread leading to a more uniform stress distribution reminiscent of the hydrostatic profiles known for standard liquids

The curvature of the conical intersection seam: an approximate second-order analysis

We present a method for analyzing the curvature (second derivatives) of the conical intersection hyperline at an optimized critical point. Our method uses the projected Hessians of the degenerate states after elimination of the two branching space coordinates, and is equivalent to a frequency calculation on a single Born-Oppenheimer potential-energy surface. Based on the projected Hessians, we develop an equation for the energy as a function of a set of curvilinear coordinates where the degeneracy is preserved to second order (i.e., the conical intersection hyperline). The curvature of the potential-energy surface in these coordinates is the curvature of the conical intersection hyperline itself, and thus determines whether one has a minimum or saddle point on the hyperline. The equation used to classify optimized conical intersection points depends in a simple way on the first- and second-order degeneracy splittings calculated at these points. As an example, for fulvene, we show that the two optimized conical intersection points of C2v symmetry are saddle points on the intersection hyperline. Accordingly, there are further intersection points of lower energy, and one of C2 symmetry - presented here for the first time - is found to be the global minimum in the intersection space

Experimental and computational study on the synthesis and characterization of self-assembling meso/macroporous materials in highly concentrated emulsions

Report for the scientific sojourn carried out at Massachusetts General Hospital Cancer Center-Harvard Medical School, Estats Units, from 2010 to 2011. The project aims to study the aggregation behavior of amphiphilic molecules in the continuous phase of highly concentrated emulsions, which can be used as templates for the synthesis of meso/macroporous materials. At this stage of the project, we have investigated the self-assembly of diblock and triblock surfactants under the effect of a confined geometry being surrounded by the droplets of the dispersed phase. These droplets limit the growth of the aggregates, deeply modify their orientation and hence alter their spatial arrangement as compared to the self-assembly taking place far enough from any boundary surface, that is in the bulk. By performing Monte Carlo simulations, we have showed that the interface between the dispersed and continuous phases as well as its shape has a significant impact on the structural order of the resulting aggregates and hence on the potential applications of highly concentrated emulsions as reaction media, drug delivery systems, or templates for meso/macroporous materials. Due to the combined effect of symmetry breaking and morphological frustration, very intriguing structures, such as square columnar liquid crystals, twisted X-shaped aggregates, and helical phases of cylindrical aggregates, never observed in the bulk for the same model surfactant, have been found. The presence of other more conventional structures, such as micelles and cubic and hexagonal liquid crystals, formed at low and high amphiphilic concentrations, respectively, further enhance the interest on this already rich aggregation behavior.

Federalism and democracy. The case of minority nations: a federalist deficit

In this chapter, after pointing out the different logics that lie behind the familiar ideas of democracy and federalism, I have dealt with the case of plurinational federal democracies. Having put forward a double criterion of an empirical nature with which to differentiate between the existence of minority nations within plurinational democracies (section 2), I suggest three theoretical criteria for the political accommodation of these democracies. In the following section, I show the agonistic nature of the normative discussion of the political accommodation of this kind of democracies, which bring monist and pluralist versions of the demos of the polity into conflict (section 3.1), as well as a number of conclusions which are the result of a comparative study of 19 federal and regional democracies using four analytical axes: the uninational/plurinational axis; the unitarianism-federalism axis; the centralisation-decentralisation axis; and the symmetry-asymmetry axis (section 3.2). This analysis reveals shortcomings in the constitutional recognition of national pluralism in federal and regional cases with a large number of federated units/regions with political autonomy; a lower degree of constitutional federalism and a greater asymmetry in the federated entities or regions of plurinational democracies. It also reveals difficulties to establish clear formulas in these democracies in order to encourage a “federalism of trust” based on the participation and protection of national minorities in the shared government of plurinational federations/regional states. Actually, there is a federal deficit in this kind polities according to normative liberal-democratic patterns and to what comparative analysis show. Finally, this chapter advocates the need for a greater normative and institutional refinement in plurinational federal democracies. In order to achieve this, it is necessary to introduce a deeper form of “ethical” pluralism -which displays normative agonistic trends, as well as a more “confederal/asymmetrical” perspective, congruent with the national pluralism of these kind of polities.

Experimental design on the simplex

Optimum experimental designs depend on the design criterion, the model andthe design region. The talk will consider the design of experiments for regressionmodels in which there is a single response with the explanatory variables lying ina simplex. One example is experiments on various compositions of glass such asthose considered by Martin, Bursnall, and Stillman (2001).Because of the highly symmetric nature of the simplex, the class of models thatare of interest, typically Scheff´e polynomials (Scheff´e 1958) are rather differentfrom those of standard regression analysis. The optimum designs are also ratherdifferent, inheriting a high degree of symmetry from the models.In the talk I will hope to discuss a variety of modes for such experiments. ThenI will discuss constrained mixture experiments, when not all the simplex is availablefor experimentation. Other important aspects include mixture experimentswith extra non-mixture factors and the blocking of mixture experiments.Much of the material is in Chapter 16 of Atkinson, Donev, and Tobias (2007).If time and my research allows, I would hope to finish with a few comments ondesign when the responses, rather than the explanatory variables, lie in a simplex.ReferencesAtkinson, A. C., A. N. Donev, and R. D. Tobias (2007). Optimum ExperimentalDesigns, with SAS. Oxford: Oxford University Press.Martin, R. J., M. C. Bursnall, and E. C. Stillman (2001). Further results onoptimal and efficient designs for constrained mixture experiments. In A. C.Atkinson, B. Bogacka, and A. Zhigljavsky (Eds.), Optimal Design 2000,pp. 225–239. Dordrecht: Kluwer.Scheff´e, H. (1958). Experiments with mixtures. Journal of the Royal StatisticalSociety, Ser. B 20, 344–360.1