Expansió accelerada de l’univers i teories de gravetat modificada a grans escales

Estudi realitzat a partir d’una estada al Physics Department de la New York University, United States, Estats Units, entre 2006 i 2008. Una de les observacions de més impacte en la cosmologia moderna ha estat la determinació empírica que l’Univers es troba actualment en una fase d’Expansió Accelerada (EA). Aquest fenòmen implica que o bé l’Univers està dominat per un nou sector de matèria/energia, o bé la Relativitat General deixa de tenir validesa a escales cosmològiques. La primera possibilitat comprèn els models d’Energia Fosca (EF), i el seu principal problema és que l’EF ha de tenir propietats tan especials que es fan difícils de justificar teòricament. La segona possibilitat requereix la construcció de teories consistents de Gravetat Modificada a Grans Distàncies (GMGD), que són una generalització dels models de gravetat massiva. L’interès fenomenològic per aquestes teories també va resorgir amb l’aparició dels primers exemples de models de GMGD, com ara el model de Dvali, Gabadadze i Porrati (DGP), que consisteix en un tipus de brana en una dimensió extra. Malauradament, però, aquest model no permet explicar de forma consistent l’EA de l’Univers. Un dels objectius d’aquest projecte ha estat establir la viabilitat interna i fenomenològica dels models de GMGD. Des del punt de vista fenomenològic, ens hem centrat en la questió més important a la pràctica: trobar signatures observacionals que permetin distingir els models de GMGD dels d’EF. A nivell més teòric, també hem investigat el significat de les inestabilitats del model DGP.L’altre gran objectiu que ens vam proposar va ser la construcció de noves teories de GMGD. En la segona part d’aquest projecte, hem elaborat i mostrat la consistència del model “DGP en Cascada”, que generalitza el model DGP a més dimensions extra, i representa el segon model consistent i invariant-Lorentz a l’espai pla conegut. L’existència d’altres models de GMGD més enllà de DGP és de gran interès atès que podria permetre obtenir l’EA de l’Univers de forma purament geomètrica.

Dynamics in Thompson's group F

We describe an explicit relationship between strand diagrams and piecewise-linear functions for elements of Thompson’s group F. Using this correspondence, we investigate the dynamics of elements of F, and we show that conjugacy of one-bump functions can be described by a Mather-type invariant.

Factors Affecting Audit Quality in the 2007 UK Regulatory Environment: Perceptions of Chief Financial Officers, Audit Committee Chairs and Audit Engagement Partners

In line with global changes, the UK regulatory regime for audit and corporate governance has changed significantly since the Enron scandal, with an increased role for audit committees and independent inspection of audit firms. UK listed company chief financial officers (CFOs), audit committee chairs (ACCs) and audit partners (APs) were surveyed in 2007 to obtain views on the impact of 36 economic and regulatory factors on audit quality. 498 usable responses were received, representing a response rate of 36%. All groups rated various audit committee interactions with auditors among the factors most enhancing audit quality. Exploratory factor analysis reduces the 36 factors to nine uncorrelated dimensions. In order of extraction, these are: economic risk; audit committee activities; risk of regulatory action; audit firm ethics; economic independence of auditor; audit partner rotation; risk of client loss; audit firm size; and, lastly, International Standards on Auditing (ISAs) and audit inspection. In addition to the activities of the audit committee, risk factors for the auditor (both economic and certain regulatory risks) are believed to most enhance audit quality. However, ISAs and the audit inspection regime, aspects of the ‘standards-surveillance compliance’ regulatory system, are viewed as less effective. Respondents commented that aspects of the changed regime are largely process and compliance driven, with high costs for limited benefits, supporting psychological bias regulation theory that claims there is overconfidence that a useful regulatory intervention exists.

Geometry and physics of knots

KNOTS are usually categorized in terms of topological properties that are invariant under changes in a knot's spatial configuration(1-4). Here we approach knot identification from a different angle, by considering the properties of particular geometrical forms which we define as 'ideal'. For a knot with a given topology and assembled from a tube of uniform diameter, the ideal form is the geometrical configuration having the highest ratio of volume to surface area. Practically, this is equivalent to determining the shortest piece of tube that can be closed to form the knot. Because the notion of an ideal form is independent of absolute spatial scale, the length-to-diameter ratio of a tube providing an ideal representation is constant, irrespective of the tube's actual dimensions. We report the results of computer simulations which show that these ideal representations of knots have surprisingly simple geometrical properties. In particular, there is a simple linear relationship between the length-to-diameter ratio and the crossing number-the number of intersections in a two-dimensional projection of the knot averaged over all directions. We have also found that the average shape of knotted polymeric chains in thermal equilibrium is closely related to the ideal representation of the corresponding knot type. Our observations provide a link between ideal geometrical objects and the behaviour of seemingly disordered systems, and allow the prediction of properties of knotted polymers such as their electrophoretic mobility(5).

Peri-prosthetic stress fractures after reversed shoulder arthroplasty

Introduction: Reversed shoulder prostheses have a semi-congruent design. Furthermore, the center of rotation is inferiorly displaced and a significant tension in the deltoid is often necessary to ensure the joint stability. Consequently, stress transmitted to peri-prosthetic bone may be increased, and could lead to stress fractures. We review a series of patients after reversed shoulder arthroplasty (RSA) and look specifically at the occurrence of postoperative peri-prosthetic stress fractures. Methods: Between 2001 and 2006, 46 consecutive RSA were performed. There were 26 women and 20 men with a mean age of 74 years (53-86). All had preoperative MRI or CT-scan, which did not reveal any fracture. All had a delto-pectoral approach with standard rehabilitation. Review was performed at a mean follow up of 30 months (6-60), and consisted of clinical and radiological (plain X-rays) examinations. Every time a fracture was suspected or in case of recurrent unexpected pain, CT-scan evaluations were performed. The occurrence of peri-prosthetic fractures was looked for. Results: Three patients (7%) sustained a scapular fracture (1 spinal and 2 acromial) without any trauma, between 3 and 6 months after the RSA. Furthermore, one of these patients developed 3 months later a spontaneous clavicular fracture, leading to an overall stress fracture rate of 9%. The four fractures were treated conservatively. Three malunions and one acromial non-union occurred. The range of motion in abduction and flexion decreased significantly after the fracture and stayed limited in all cases. All the three patients reported a recurrence of pain. Conclusion: Peri-prosthetic stress fractures, especially in the acromion and in the spine of the scapula are not unusual after RSA. The etiology is not well known. The increase of stress in peri-prosthetic bone may be due to the semi-congruent design and to an overtension of the deltoid. The management of this complication stays difficult. The conservative treatment leads to mal- or non-union, with persistent pain and limited range of motion.

Lack of directed V alpha 14-J alpha 281 rearrangements in NK1+ T cells.

NK1.1+ T cells are an unusual subset of TCR alpha beta cells distinguished by their highly restricted V beta repertoire and predominant usage of an invariant V alpha 14-J alpha 281 chain. To assess whether a directed rearrangement mechanism could be responsible for this invariant alpha chain, we have analyzed V alpha 14 rearrangements by polymerase chain reaction and Southern blot in a panel of cloned T-T hybrids derived from thymic NK1.1+ T cells. As expected a high proportion (17/20) of the hybrids had rearranged V alpha 14 to J alpha 281. However, V alpha 14-J alpha 281 rearrangements always occurred on only one chromosome and were accompanied by other V alpha-J alpha rearrangements (not involving V alpha 14) on the homologous chromosome. These data argue that rigorous ligand selection rather than directed rearrangement is responsible for the high frequency of V alpha 14-J alpha 281 rearrangements in NK1.1+ T cells.

Absolute requirement for the pre-T cell receptor alpha chain during NK1.1+ TCRalphabeta cell development.

Most natural killer T (NKT) cells express a highly skewed alphabeta TCR repertoire, consisting of an invariant V alpha14-J alpha281 chain paired preferentially with a polyclonal Vbeta8.2 chain. This repertoire is positively selected by the monomorphic CD1d molecule expressed on cells of hematopoietic origin. The origin of NKT cells and their lineage relationship to conventional T cells is controversial. We show here that the development of NKT cells is absolutely dependent on expression of the pre-TCRalpha chain, in marked contrast to conventional T cells which arise in significant numbers even in the absence of a functional pre-TCR. Distinct developmental requirements for pre-TCR expression in the NKT and T cell lineages may reflect differences in the ability of the TCRalphabeta to substitute functionally for the pre-TCR in immature precursor cells.

Anàlisi i tècniques de processat del senyal per a la generació de mapes eòlics

L’emplaçament del projecte es situa a un parc eòlic marítim, on es vol observar el vent a través del radar VAD, Velocity Azimuth Display, per poder controlar la velocitat de rotació dels aerogeneradors, i poder substituir els actuals anemòmetres. No ens centrarem en el control d’aquest, sinó que l’objectiu principal d’aquest projecte és analitzar el funcionament i processat de dades del VAD. Es proposaran, simularan i estudiaran noves tècniques d’estimació espectral per obtenir una millora important amb les mesures de velocitat, direcció i divergència del vent, per tal de construir un radar més robust a pertorbacions. A més a més, també il·lustrarem mapes eòlics obtinguts a partir de tot el processat.

Exponentially small splitting of separatrices in the perturbed McMillan map

The McMillan map is a one-parameter family of integrable symplectic maps of the plane, for which the origin is a hyperbolic fixed point with a homoclinic loop, with small Lyapunov exponent when the parameter is small. We consider a perturbation of the McMillan map for which we show that the loop breaks in two invariant curves which are exponentially close one to the other and which intersect transversely along two primary homoclinic orbits. We compute the asymptotic expansion of several quantities related to the splitting, namely the Lazutkin invariant and the area of the lobe between two consecutive primary homoclinic points. Complex matching techniques are in the core of this work. The coefficients involved in the expansion have a resurgent origin, as shown in [MSS08].

Selective induction of NK cell proliferation and cytotoxicity by activated NKT cells.

NK T cells produce cytokines when their semi-invariant TCR engages glycolipids associated with CD1d. The physiological consequences of NKT cell activation remain controversial, although they have been implicated in control of autoimmunity, parasites and tumors. We show here that specific activation of NKT cells in liver and spleen leads to a rapid induction of extensive NK cell proliferation and cytotoxicity. This NK cell activation is dependent, at least in part, on IFN-gamma production by NKT cells and IL-12 production by antigen-presenting cells. Remarkably, activation of NK cells by NKT cells is highly selective, since bystander T and B lymphocytes show transient expression of activation markers but almost no proliferation. Collectively our data suggest that CD1d-dependent NKT cells regulate innate immunity by sampling blood-borne glycolipid antigens and rapidly activating NK cells.

Aggregate cultures of foetal rat liver cells: development and maintenance of liver gene expression.

Rotation-mediated aggregate cultures of foetal rat liver cells were prepared and grown in a chemically defined medium. Their capacity for cellular organisation and maturation was studied over a culture period of 3 wk by using both morphologic and biochemical criteria. It was found that within each aggregate, distinct liver cell types were present and attained their normal, differentiated phenotype. Parenchymal cells formed small acini with a central lumen. Within the first 2 wk in culture, albumin and ferritin mRNA levels were maintained, while the alpha-fetoprotein mRNA levels decreased, and tyrosine aminotransferase (TAT) gene expression increased. No significant response to glucocorticoids was observed in early cultures, whereas after 3 wk a marked increase in TAT mRNA levels was elicited by dexamethasone and glucagon (additive stimulatory effects). The results show that foetal rat liver cells cultured in a chemically defined medium are able to rearrange themselves into histotypic structures, and display a developmental pattern of gene expression comparable to that of perinatal rat liver in vivo. This culture system offers therefore a useful model to study the development and function of liver cells.

Estudi de la reformació amb vapor de biocombustibles per a l'obtenció d'hidrogen utilitzant suports estructurats ceràmics funcionalitzats

Donada una aplicació racional en una varietat complexa, Bellon i Viallet van definit l’entropia algebraica d’aquesta aplicació i van provar que aquest valor és un invariant biracional. Un invariant biracional equivalent és el grau asimptòtic, grau dinàmic o complexitat, definit per Boukraa i Maillard. Aquesta noció és propera a la complexitat definida per Arnold. Conjecturalment, el grau asimptòtic satisfà una recurrència lineal amb coeficients enters. Aquesta conjectura ha estat provada en el cas polinòmic en el pla afí complex per Favre i Jonsson i resta oberta en per al cas projectiu global i per al cas local. L’estudi de l’arbre valoratiu de Favre i Jonsson ha resultat clau per resoldre la conjectura en el cas polinòmic en el pla afí complex. El beneficiari ha estudiat l’arbre valoratiu global de Favre i Jonsson i ha reinterpretat algunes nocions i resultats des d’un punt de vista més geomètric. Així mateix, ha estudiat la demostració de la conjectura de Bellon – Viallet en el cas polinòmic en el pla afí complex com a primer pas per trobar una demostració en el cas local i projectiu global en estudis futurs. El projecte inclou un estudi detallat de l'arbre valoratiu global des d'un punt de vista geomètric i els primers passos de la demostració de la conjectura de Bellon - Viallet en el cas polinòmic en el pla afí complex que van efectuar Favre i Jonsson.

Aspectes geomètrics i dinàmics de transformacions racionals planes

Donada una aplicació racional en una varietat complexa, Bellon i Viallet van definit l’entropia algebraica d’aquesta aplicació i van provar que aquest valor és un invariant biracional. Un invariant biracional equivalent és el grau asimptòtic, grau dinàmic o complexitat, definit per Boukraa i Maillard. Aquesta noció és propera a la complexitat definida per Arnold. Conjecturalment, el grau asimptòtic satisfà una recurrència lineal amb coeficients enters. Aquesta conjectura ha estat provada en el cas polinòmic en el pla afí complex per Favre i Jonsson i resta oberta en per al cas projectiu global i per al cas local. L’estudi de l’arbre valoratiu de Favre i Jonsson ha resultat clau per resoldre la conjectura en el cas polinòmic en el pla afí complex. El beneficiari ha estudiat l’arbre valoratiu global de Favre i Jonsson i ha reinterpretat algunes nocions i resultats des d’un punt de vista més geomètric. Així mateix, ha estudiat la demostració de la conjectura de Bellon – Viallet en el cas polinòmic en el pla afí complex com a primer pas per trobar una demostració en el cas local i projectiu global en estudis futurs. El projecte inclou un estudi detallat de l'arbre valoratiu global des d'un punt de vista geomètric i els primers passos de la demostració de la conjectura de Bellon - Viallet en el cas polinòmic en el pla afí complex que van efectuar Favre i Jonsson.

Laser scanning-based recognition of rotational movements on a deep seated gravitational instability: The Cinque Torri case (North-Eastern Italian Alps)

The Cinque Torri group (Cortina d'Ampezzo, Italy) is an articulated system of unstable carbonatic rock monoliths located in a very important tourism area and therefore characterized by a significant risk. The instability phenomena involved represent an example of lateral spreading developed over a larger deep seated gravitational slope deformation (DSGSD) area. After the recent fall of a monolith of more than 10 000 m3, a scientific study was initiated to monitor the more unstable sectors and to characterize the past movements as a fundamental tool for predicting future movements and hazard assessment. To achieve greater insight on the ongoing lateral spreading process, a method for a quantitative analysis of rotational movements associated with the lateral spreading has been developed, applied and validated. The method is based on: i) detailed geometrical characterization of the area by means of laser scanner techniques; ii) recognition of the discontinuity sets and definition of a reference frame for each set, iii) correlation between the obtained reference frames related to a specific sector and a stable external reference frame, and iv) determination of the 3D rotations in terms of Euler angles to describe the present settlement of the Cinque Torri system with respect to the surrounding stable areas. In this way, significant information on the processes involved in the fragmentation and spreading of a former dolomitic plateau into different rock cliffs has been gained. The method is suitable to be applied to similar case studies.

Modelado de una cámara de onda milimétrica

En aquest projecte s'ha dissenyat i simulat una càmera d'ones mil·limètriques mitjançant "Spinning Reflectors" amb l'objectiu d'estudiar la qualitat de les imatges obtingudes, així com determinar la configuració de reflectors acceptable per a la nostra càmera. Per al seu disseny, s'ha realitzat el model d'una antena Cassegrain amb botzina alimentadora a FEKO i s'han simulat els diagrames de radiació corresponents als diferents angles de rotació d'ambdós reflectors al voltant de l'eix en el qual estan situats. Finalment, a partir del principi de funcionament de la nostra càmera, s'ha exposat la seva implementació física i s'ha representat en Matlab la seva PSF (Point Spread Function) i la imatge d'un objecte arbitrari d'acord amb les tècniques de formació d'imatges.