On the efficient evaluation of ruin probabilities for completely monotone claim size distributions

In this paper we propose a highly accurate approximation procedure for ruin probabilities in the classical collective risk model, which is based on a quadrature/rational approximation procedure proposed in [2]. For a certain class of claim size distributions (which contains the completely monotone distributions) we give a theoretical justification for the method. We also show that under weaker assumptions on the claim size distribution, the method may still perform reasonably well in some cases. This in particular provides an efficient alternative to a related method proposed in [3]. A number of numerical illustrations for the performance of this procedure is provided for both completely monotone and other types of random variables.

Closure of the Monte Carlo dynamical equation in the spherical Sherrington-Kirkpatrick model

We study the analytical solution of the Monte Carlo dynamics in the spherical Sherrington-Kirkpatrick model using the technique of the generating function. Explicit solutions for one-time observables (like the energy) and two-time observables (like the correlation and response function) are obtained. We show that the crucial quantity which governs the dynamics is the acceptance rate. At zero temperature, an adiabatic approximation reveals that the relaxational behavior of the model corresponds to that of a single harmonic oscillator with an effective renormalized mass.

Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect

We show how macroscopic manifestations of P (and T) symmetry breaking can arise in a simple system subject to Aharonov-Bohm interactions. Specifically, we study the conductivity of a gas of charged particles moving through a dilute array of flux tubes. The interaction of the electrons with the flux tubes is taken to be of a purely Aharonov-Bohm type. We find that the system exhibits a nonzero transverse conductivity, i.e., a spontaneous Hall effect. This is in contrast to the fact that the cross sections for both scattering and bremsstrahlung (soft-photon emission) of a single electron from a flux tube are invariant under reflections. We argue that the asymmetry in the conductivity coefficients arises from many-body effects. On the other hand, the transverse conductivity has the same dependence on universal constants that appears in the quantum Hall effect, a result that we relate to the validity of the mean-field approximation.

Semiclassical back reaction in the formation of a straight cosmic string

We derive the back reaction on the gravitational field of a straight cosmic string during its formation due to the gravitational coupling of the string to quantum matter fields. A very simple model of string formation is considered. The gravitational field of the string is computed in the linear approximation. The vacuum expectation value of the stress tensor of a massless scalar quantum field coupled to the string gravitational field is computed to one loop order. Finally, the back-reaction effect is obtained by solving perturbatively the semiclassical Einsteins equations.

Detection of scalar gravitational waves with a hollow spherical antenna

We study the response and cross sections for the absorption of GW energy generated in a Jordan-Brans-Dicke theory by a resonant mass detector shaped as a hollow sphere. As a source of the GW we take a binary system in the Newtonian approximation. For masses of the stars of the order of the solar mass, the emitted GW sweeps a range of frequencies which include the first resonant mode of the detector.

Role of notch signalling in mammary gland

ÁBSTRACT : Mammary gland is composed of two main epithelial cell types, myoepithelial and luminal. The mechanisms involved in determination and maintenance of them remain poorly understood. Notch signaling is known to regulate cell fate determination in other tissues like skin and nervous system. It was also shown that it can act as tumor suppressor or oncogene depending on the tissue type. The mouse models overexpressing active Notch receptors indicated that Notch signaling is oncogenic in the mammary gland. This observation was followed by some descriptive and functional studies in human breast cancer and it was reported that Notch signaling activity or expression of its components are increased in some of the breast tumor samples compared to normal tissue. However, the physiological role of the Notch signaling and its downstream mechanisms in mammary gland is poorly defined. p63, a member of p53 family, has been implicated in the cell fate determination of keratinocytes. Knockout mouse models revealed that p63 is required for the formation of the mammary anlagen in embryo and its ΔN isoform is expressed exclusively in the myoepithelial layer of the adult breast. In order to understand its function in normal breast epithelial cells, I activated Notch signaling by expression of Notch1 intracellular domain (NICD) in normal primary human breast epithelial cells (HBECs). In this context, NICD reduced growth of HBECs and led to downmodulation of extracellular matrix-receptor interaction network (ECM) components as well as ΔNp63. Expression of ΔNp63 together with NICD partially rescued Notch induced growth reduction, which was correlated with an increase in ECM components. Moreover, silencing ΔNp63 in myoepithelial HBECs reduced growth similar to Notch activation and it led to downregulation of myoepithelial and upregulation of luminal markers. Complementing this observation, forced expression of ONp63 in luminal HBECs induced myoepithelial phenotype and decreased luminal markers. In vivo, by the analysis of a Notch reporter mouse strain, I showed that Notch is activated during puberty specifically at the sites of ductal morphogenesis, terminal end buds. FAGS analysis revealed that it can be detected in two different populations based on CD24 expression (low (lo) or high (high)): at lower levels in CD24lo, which includes stem/progenitor and myoepithelial cells and higher levels in CD24hi, which contains luminal cells. In parallel with in vitro results, the CD24lo mouse mammary epithelial cells displaying Notch activity have lower levels of p63 expression. Furthermore, deletion of RBPjk, the main mediator of Notch signaling, or the overexpression of ΔNp63 inhibited luminal cell lineage in vivo. Another important point revealed by Notch reporter mouse strain is the simultaneous activation of Notch with estrogen signaling during pubertal development. The expression of FOXA1, the mediator of estrogen receptor (ER) transcriptional activity, is correlated with Notch activation in vivo that it is lower in CD24lo than in CD24hi cells. Moreover, FOXA1 is regulated by NICD in vitro supporting the presence of a link between Notch and ER signaling. Taken together, I report that Notch signaling is involved in luminal cell fate determination and its effects are partially mediated through inhibition of ONp63. Besides, ΔNp63 is required for the maintenance and sufficient for the induction of myoepithelial phenotype in HBECs in vitro and is not compatible with luminal lineage in vivo. Based on these results, I propose a model for epithelial cell hierarchy in mammary gland, whereby there are two different types of luminal progenitors, early and late, displaying different levels of Notch activity. Notch signaling contributes to the determination of luminal cell lineage in these two progenitor steps: In "Early Luminal Progenitor" stage, it inhibits myoepithelial fate by decreasing p63 expression, and in "Late Luminal Progenitor" stage, Notch signaling is involved in induction of luminal lineage by acting on ER-FOXA1 axis. It has to be investigated further whether Notch signaling might behave as an oncogene or tumor suppressor depending on which cell type in the epithelial hierarchy it is modulated and which one is more likely to occur in different human breast cancer types. RÉSUMÉ : La glande mammaire est composée de deux types principaux de cellules: les cellules luminales, qui bordent le lumen et les cellules myoépithéliales, qui se trouvent entre la lame basale et les cellules luminales. Les mécanismes intervenant dans leur différenciation et leur maintenance demeurent encore mal compris. La protéine transmembranaire Notch est connue pour déterminer le destin des cellules dans plusieurs types de tissus comme la peau ou le système nerveux. Selon le type de tissu dans lequel se trouve Notch, il agira soit comme un suppresseur de tumeur soit comme un oncogène. A l'aide de modèles de souris surexprimant les récepteurs actifs de Notch, il a été démontré que la voie de signalisation de Notch est oncogénique au niveau de la glande mammaire. Des études descriptives et fonctionnelles dans le cadre du cancer du sein ont permis de mettre en évidence une augmentation de l'activité de Notch ou de l'expression de ces composants dans certains tissus cancéreux. Toutefois, le rôle physiologique de Notch et des mécanismes qu'il active restent méconnus. P63, une protéine membre de la famille p53, est impliquée dans la différenciation des kératinocytes. Le modèle issu de l'étude des souris p63 knockout a révélé que cette protéine est requise pour la formation des primordia mammaires chez l'embryon et que son isoforme ΔNp63 est exclusivement exprimée dans la couche myoépithéliale de la glande mammaire adulte. Dans le but de comprendre les fonctions physiologiques de Notch, je l'ai activé en exprimant le domaine intracellulaire de Notch 1 (NICD) dans des cellules épithéliales primaires de glande mammaire humaine (HBECs). Le NICD a alors réduit la croissance des HBECs et conduit à la régulation négative non seulement de p63 mais également des composants du réseau d'interaction des récepteurs de la matrice extracellulaire (ECM). En exprimant conjointement ΔNp63 et NICD, il est apparu que la réduction de croissance induite par Notch était partiellement compensée, et qu'il y avait également une augmentation des composants ECM. De plus, lorsque ΔNp63 a été inactivé dans les cellules HBECs myoépithéliales, une réduction de croissance cellulaire identique à celle provoquée par l'activation de Notch a pu être mise en évidence, de même qu'une régulation négative des marqueurs myoépithéliaux ainsi qu'une augmentation des marqueurs luminaux. Afin de compléter ces informations, l'expression de ΔNp63 a été forcée dans les HBECs luminales, ce qui a induit un phénotype myoépithélial et une diminution des marqueurs lumineux. In vivo, par l'analyse de souris ayant un gène rapporteur de l'activité de Notch, j'ai démontré que Notch est activé pendant la puberté au niveau des sites de la morphogenèse canalaire, à savoir les bourgeons terminaux. Les analyses par FACS (Fluorescence-activated cell sorting) basées sur l'expression de l'antigène CD24 ont révélé qu'il peut tre détecté dans deux populations différentes : une population qui l'exprime faiblement, qui regroupe les cellules souches/progéniteurs et les cellules myoépithéliales, et une population qui l'exprime fortement qui est composé des cellules luminales. Parallèlement aux résultats in vitro, j'ai mis en évidence un faible niveau d'expression de p63 dans les cellules épithéliales de la glande mammaire de souris, exprimant faiblement l'antigène CD24 et présentant une activité de Notch. De plus, la délétion de RBPjr~, médiateur principal de la signalisation de Notch, ainsi que la surexpression de ΔNp63 in vivo ont inhibé la lignée des cellules luminales. Un autre point important révélé par les souris rapporteur de l'activité de Notch a été l'activation simultanée de Notch et de la signalisation de l'oestrogène pendant le développement pubertaire. L'expression de FOXA1, médiateur de l'activité transcriptionnelle des récepteurs aux oestrogènes (ER), est en corrélation avec l'activation de Notch in vivo, plus basse dans les cellules avec une faible expression de l'antigène CD24 que dans celles avec une forte expression. De plus, FOXA1 est régulé par NICD in vitro confirmant la présence d'un lien entre Notch et la signalisation des ER. En résumé, la signalisation de Notch est impliquée dans la détermination du destin cellulaire des cellules luminales et ses effets sont partiellement modifiés par l'inhibition de ΔNp63. ΔNp63 est requis pour la maintenance et est suffisant pour l'induction du phénotype myoépithéliale dans les HBECs in vitro et ne peut donc pas se trouver dans les cellules luminales in vivo. Basé sur ces résultats, je propose un modèle de hiérarchisation des cellules épithéliales de la glande mammaire, dans lequel sont présents deux types de progéniteurs des cellules luminales exprimant des niveaux différents d'activité de Notch, les progéniteurs lumineux précoces et tardifs. La signalisation de Notch contribue à la différenciation de la lignée cellulaire luminale au niveau de ces deux progéniteurs : dans la forme précoce, il inhibe la différenciation des cellules myoépithéliales en réduisant l'expression de p63 et dans la forme tardive, Notch est impliqué dans l'induction de la lignée luminale en agissant sur l'axe ER-FOXA1. Il serait nécessaire d'investiguer plus loin si le fait que Notch agisse comme oncogène ou suppresseur de tumeur dépend du stade de différenciation de la cellule dans laquelle il est modulé et laquelle de ces deux fonctions il est le plus probable de rencontrer dans les différents types de cancer du sein.

Induced quantum metric fluctuations and the validity of semiclassical gravity

We propose a criterion for the validity of semiclassical gravity (SCG) which is based on the stability of the solutions of SCG with respect to quantum metric fluctuations. We pay special attention to the two-point quantum correlation functions for the metric perturbations, which contain both intrinsic and induced fluctuations. These fluctuations can be described by the Einstein-Langevin equation obtained in the framework of stochastic gravity. Specifically, the Einstein-Langevin equation yields stochastic correlation functions for the metric perturbations which agree, to leading order in the large N limit, with the quantum correlation functions of the theory of gravity interacting with N matter fields. The homogeneous solutions of the Einstein-Langevin equation are equivalent to the solutions of the perturbed semiclassical equation, which describe the evolution of the expectation value of the quantum metric perturbations. The information on the intrinsic fluctuations, which are connected to the initial fluctuations of the metric perturbations, can also be retrieved entirely from the homogeneous solutions. However, the induced metric fluctuations proportional to the noise kernel can only be obtained from the Einstein-Langevin equation (the inhomogeneous term). These equations exhibit runaway solutions with exponential instabilities. A detailed discussion about different methods to deal with these instabilities is given. We illustrate our criterion by showing explicitly that flat space is stable and a description based on SCG is a valid approximation in that case.

Cosmological perturbations from stochastic gravity

In inflationary cosmological models driven by an inflaton field the origin of the primordial inhomogeneities which are responsible for large-scale structure formation are the quantum fluctuations of the inflaton field. These are usually calculated using the standard theory of cosmological perturbations, where both the gravitational and the inflaton fields are linearly perturbed and quantized. The correlation functions for the primordial metric fluctuations and their power spectrum are then computed. Here we introduce an alternative procedure for calculating the metric correlations based on the Einstein-Langevin equation which emerges in the framework of stochastic semiclassical gravity. We show that the correlation functions for the metric perturbations that follow from the Einstein-Langevin formalism coincide with those obtained with the usual quantization procedures when the scalar field perturbations are linearized. This method is explicitly applied to a simple model of chaotic inflation consisting of a Robertson-Walker background, which undergoes a quasi-de Sitter expansion, minimally coupled to a free massive quantum scalar field. The technique based on the Einstein-Langevin equation can, however, deal naturally with the perturbations of the scalar field even beyond the linear approximation, as is actually required in inflationary models which are not driven by an inflaton field, such as Starobinsky¿s trace-anomaly driven inflation or when calculating corrections due to nonlinear quantum effects in the usual inflaton driven models.

Classical cross sections for relativistic spinning particles

We propose a definition of classical differential cross sections for particles with essentially nonplanar orbits, such as spinning ones. We give also a method for its computation. The calculations are carried out explicitly for electromagnetic, gravitational, and short-range scalar interactions up to the linear terms in the slow-motion approximation. The contribution of the spin-spin terms is found to be at best 10-6 times the post-Newtonian ones for the gravitational interaction.

Indice d'aptitude général et indice de compétences cognitives pour le WISC-IV: Normes empiriques vs. normes statistiques

L'indice d'aptitude général (IAG) a été développé dans le WISC-III pour estimer le niveau cognitif général. Il s'agissait de proposer une alternative au QI Total. Plus récemment, l'indice de compétence cognitive (ICC) a été proposé. Jusqu'à il y a peu, seules les normes américaines de ces indices étaient disponibles ; les normes franc ̧ aises IAG et ICC pour le WISC-IV ont été récemment développées à partir d'une procédure d'approximation statistique. Toutefois, les normes développées de cette manière seraient moins appro- priées que les normes construites sur la base d'un échantillon. Cette étude vise à comparer les normes IAG et ICC développées à partir d'une procédure d'approximation statistique à celles créées à partir d'un échantillon de 182 enfants âgés de huit à 12 ans. Les corrélations entre les deux types de normes sont de 0,997 pour IAG et de 0,999 pour ICC ; les différences absolues moyennes sont respectivement de 5,38 et de 2,24 points pour IAG et ICC. Enfin, pour les enfants présentant un score IAGS inférieur à 89, les normes IAGE semblent indiquer que leurs compétences seraient inférieures d'environ 8-10 points à celui indiqué par le score IAGS. Les résultats de cette étude indiquent que les scores IAG et ICC peuvent constituer des informations utiles sur les capacités cognitives de l'enfant.

Continued fraction solution for the radiative transfer equation in three dimensions

Starting from the radiative transfer equation, we obtain an analytical solution for both the free propagator along one of the axes and an arbitrary phase function in the Fourier-Laplace domain. We also find the effective absorption parameter, which turns out to be very different from the one provided by the diffusion approximation. We finally present an analytical approximation procedure and obtain a differential equation that accurately reproduces the transport process. We test our approximations by means of simulations that use the Henyey-Greenstein phase function with very satisfactory results.

Bilateral anterior pubic osteotomy in bladder exstrophy closure.

PURPOSE: We report our clinical experience with anterior pelvic osteotomy in 16 patients who underwent surgery for bladder exstrophy. The technique and its difficulties are discussed. MATERIALS AND METHODS: Anterior pelvic osteotomy of the superior ramus of the public bone is a simple and efficient method to facilitate symphyseal approximation and abdominal wall closure without or with low tension on the suture lines in neonates who undergo surgery for bladder exstrophy. Older children in whom surgery has been delayed can also benefit from this method. Compared to other methods of osteotomy in exstrophy surgery it does not require additional incisions, nor does the patient need to be repositioned on the operating table. A successful operation does not depend on any particular orthopedic skills and it can easily be done by the pediatric urologist. RESULTS: Immediate postoperative results regarding abdominal wall closure were excellent in all 16 patients. However, major postoperative complications developed in 2 patients. Despite antibiotic prophylaxis a severe soft tissue infection developed in 1 child, resulting in complete bladder dehiscence. In another patient an obturator nerve injury resulted in transient palsy, which resolved completely. While the first complication was not related to osteotomy, the second was osteotomy related. CONCLUSIONS: Bilateral superior ramotomy of the pubic bones is a new alternative, easily performed technique to optimize bladder exstrophy surgery in children.

Damage spreading transition in glasses: A probe for the ruggedness of the configurational landscape

We consider damage spreading transitions in the framework of mode-coupling theory. This theory describes relaxation processes in glasses in the mean-field approximation which are known to be characterized by the presence of an exponentially large number of metastable states. For systems evolving under identical but arbitrarily correlated noises, we demonstrate that there exists a critical temperature T0 which separates two different dynamical regimes depending on whether damage spreads or not in the asymptotic long-time limit. This transition exists for generic noise correlations such that the zero damage solution is stable at high temperatures, being minimal for maximal noise correlations. Although this dynamical transition depends on the type of noise correlations, we show that the asymptotic damage has the good properties of a dynamical order parameter, such as (i) independence of the initial damage; (ii) independence of the class of initial condition; and (iii) stability of the transition in the presence of asymmetric interactions which violate detailed balance. For maximally correlated noises we suggest that damage spreading occurs due to the presence of a divergent number of saddle points (as well as metastable states) in the thermodynamic limit consequence of the ruggedness of the free-energy landscape which characterizes the glassy state. These results are then compared to extensive numerical simulations of a mean-field glass model (the Bernasconi model) with Monte Carlo heat-bath dynamics. The freedom of choosing arbitrary noise correlations for Langevin dynamics makes damage spreading an interesting tool to probe the ruggedness of the configurational landscape.

An AdS/QCD model from tachyon condensation: II

A simple holographic model is presented and analyzed that describes chiral symmetry breaking and the physics of the meson sector in QCD. This is a bottom-up model that incorporates string theory ingredients like tachyon condensation which is expected to be the main manifestation of chiral symmetry breaking in the holographic context. As a model for glue the Kuperstein-Sonnenschein background is used. The structure of the flavor vacuum is analyzed in the quenched approximation. Chiral symmetry breaking is shown at zero temperature. Above the deconfinement transition chiral symmetry is restored. A complete holographic renormalization is performed and the chiral condensate is calculated for different quark masses both at zero and non-zero temperatures. The 0++, 0¿+, 1++, 1¿¿ meson trajectories are analyzed and their masses and decay constants are computed. The asymptotic trajectories are linear. The model has one phenomenological parameter beyond those of QCD that affects the 1++, 0¿+ sectors. Fitting this parameter we obtain very good agreement with data. The model improves in several ways the popular hard-wall and soft wall bottom-up models.

On the spinning axis representation

A new spinning axis representation is introduced. It allows us to calculate the evolution operator of a system with slowly varying time dependent Hamiltonian with the desired degree of approximation in the parameter used for describing its dynamical evolution. The procedure is compared with a previously existing one and applied to a simple example.