A Schoenflies extension theorem for a class of locally bi-Lipschitz homeomorphisms

"Vegeu el resum a l'inici del document del fitxer adjunt."

Singular Bott-Chern classes and the arithmetic Grothendieck-Riemann-Roch theorem for closed immersions

We study the singular Bott-Chern classes introduced by Bismut, Gillet and Soulé. Singular Bott-Chern classes are the main ingredient to define direct images for closed immersions in arithmetic K-theory. In this paper we give an axiomatic definition of a theory of singular Bott-Chern classes, study their properties, and classify all possible theories of this kind. We identify the theory defined by Bismut, Gillet and Soulé as the only one that satisfies the additional condition of being homogeneous. We include a proof of the arithmetic Grothendieck-Riemann-Roch theorem for closed immersions that generalizes a result of Bismut, Gillet and Soulé and was already proved by Zha. This result can be combined with the arithmetic Grothendieck-Riemann-Roch theorem for submersions to extend this theorem to arbitrary projective morphisms. As a byproduct of this study we obtain two results of independent interest. First, we prove a Poincaré lemma for the complex of currents with fixed wave front set, and second we prove that certain direct images of Bott-Chern classes are closed.

Generic optimality conditions for semi-algebraic convex programs

We consider linear optimization over a nonempty convex semi-algebraic feasible region F. Semidefinite programming is an example. If F is compact, then for almost every linear objective there is a unique optimal solution, lying on a unique \active" manifold, around which F is \partly smooth", and the second-order sufficient conditions hold. Perturbing the objective results in smooth variation of the optimal solution. The active manifold consists, locally, of these perturbed optimal solutions; it is independent of the representation of F, and is eventually identified by a variety of iterative algorithms such as proximal and projected gradient schemes. These results extend to unbounded sets F.

A Many-to-many 'rural hospital theorem'

We show that the full version of the so-called 'rural hospital theorem' (Roth, 1986) generalizes to many-to-many matching where agents on both sides of the market have separable and substitutable preferences.

A non-possibility theorem for joint-stability in interindustry models

Joint-stability in interindustry models relates to the mutual simultaneous consistency of the demand-driven and supply-driven models of Leontief and Ghosh, respectively. Previous work has claimed joint-stability to be an acceptable assumption from the empirical viewpoint, provided only small changes in exogenous variables are considered. We show in this note, however, that the issue has deeper theoretical roots and offer an analytical demonstration that shows the impossibility of consistency between demand-driven and supply-driven models.

A lower bound in Nehari's theorem on the polydisc

"Vegeu el resum a l'inici del document del fitxer adjunt"

A Folk Theorem for Games when Frequent Monitoring Decreases Noise

This paper studies frequent monitoring in an infinitely repeated game with imperfect public information and discounting, where players observe the state of a continuous time Brownian process at moments in time of length _. It shows that a limit folk theorem can be achieved with imperfect public monitoring when players monitor each other at the highest frequency, i.e., _. The approach assumes that the expected joint output depends exclusively on the action profile simultaneously and privately decided by the players at the beginning of each period of the game, but not on _. The strong decreasing effect on the expected immediate gains from deviation when the interval between actions shrinks, and the associated increase precision of the public signals, make the result possible in the limit. JEL: C72/73, D82, L20. KEYWORDS: Repeated Games, Frequent Monitoring, Public Monitoring, Brownian Motion.

A comparative study of preservation and storage of Haemophilus influenzae

The aim of this study was to compare the efficacy of conservation by freezing the strains of Haemophilus influenzae at -20ºC and -70ºC. Skim milk supplemented with glucose, yeast extract and glycerol allowed highest viability of H. influenzae both at -20ºC and -70ºC from the media analyzed. Trypticase soy broth and brain heart infusion broth supplemented with glycerol, allowed excellent recovery. Use of cotton swaps as supporting material, with or without addition of cryoprotective agents, did not modify H. influenzae viability after six months of storage. Concentration of the initial inoculum positively affected viability when stored at -20ºC. Initial concentration did not influence survival after storage at -70ºC. Thawing at room temperature should not exceed 3 h as to get highest survival percentage.

An algebraic operator approach to the analysis of Gerber-Shiu functions

We introduce an algebraic operator framework to study discounted penalty functions in renewal risk models. For inter-arrival and claim size distributions with rational Laplace transform, the usual integral equation is transformed into a boundary value problem, which is solved by symbolic techniques. The factorization of the differential operator can be lifted to the level of boundary value problems, amounting to iteratively solving first-order problems. This leads to an explicit expression for the Gerber-Shiu function in terms of the penalty function.

Dual role of Bmi1 loss in the preservation of photoreceptor layers in the Rd1 mouse

Purpose: In the Rd1 and Rd10 mouse models of retinitis pigmentosa, a mutation in the Pde6ß gene leads to the rapid loss of photoreceptors. As in several neurodegenerative diseases, Rd1 and Rd10 photoreceptors re-express cell cycle proteins prior to death. Bmi1 regulates cell cycle progression through inhibition of CDK inhibitors, and its deletion efficiently rescues the Rd1 retinal degeneration. The present study evaluates the effects of Bmi1 loss in photoreceptors and Müller glia, since in lower vertebrates, these cells respond to retinal injury through dedifferentiation and regeneration of retinal cells. Methods: Cell death and Müller cell activation were analyzed by immunostaining of wild-type, Rd1 and Rd1;Bmi1-/- eye sections during retinal degeneration, between P10 and P20. Lineage tracing experiments use the GFAP-Cre mouse (JAX) to target Müller cells. Results: In Rd1 retinal explants, inhibition of CDKs reduces the amount of dying cells. In vivo, Bmi1 deletion reduces CDK4 expression and cell death in the P15 Rd1;Bmi1-/- retina, although cGMP accumulation and TUNEL staining are detected at the onset of retinal degeneration (P12). This suggests that another process acts in parallel to overcome the initial loss of Rd1;Bmi1-/- photoreceptors. We demonstrate here that Bmi1 loss in the Rd1 retina enhances the activation of Müller glia by downregulation of p27Kip1, that these cells migrate toward the ONL, and that some cells express the retinal progenitor marker Pax6 at the inner part of the ONL. These events are also observed, but to a lesser extent, in Rd1 and Rd10 retinas. At P12, EdU incorporation shows proliferating cells with atypical elongated nuclei at the inner border of the Rd1;Bmi1-/- ONL. Lineage tracing targeting Müller cells is in process and will determine the implication of this cell population in the maintenance of the Rd1;Bmi1-/- ONL thickness and whether downregulation of Bmi1 in Rd10 Müller cells equally stimulates their activation. Conclusions: Our results show a dual role of Bmi1 deletion in the rescue of photoreceptors in the Rd1;Bmi1-/- retina. Indeed, the loss of Bmi1 reduces Rd1 retinal degeneration, and as well, enhances the Müller glia activation. In addition, the emergence of cells expressing a retinal progenitor marker in the ONL suggests Bmi1 as a blockade to the regeneration of retinal cells in mammals.

The kidney during hibernation and arousal from hibernation. A natural model of organ preservation during cold ischaemia and reperfusion.

BACKGROUND: During hibernation the kidney is in a hypothermic condition where renal blood flow is minimal and urine production is much reduced. Periodical arousal from hibernation is associated with kidney reperfusion at increasing body temperature, and restored urine production rate. METHODS: To assess the degree of structural preservation during such extreme conditions, the kidney cortex was investigated by means of electron microscopy in the dormouse Muscardinus avellanarius during winter hibernation, arousal from hibernation and the summer active period. RESULTS: Results show that the fine structure of the kidney cortex is well preserved during hibernation. In the renal corpuscle, a sign of slight lesion was the focal presence of oedematous endothelial cells and/or podocytes. Proximal convoluted tubule cells showed fully preserved ultrastructure and polarity, and hypertrophic apical endocytic apparatus. Structural changes were associated with increased plasma electrolytes, creatinine and urea nitrogen, and proteinuria. During the process of arousal the fine structure of the kidney cortex was also well maintained. CONCLUSION: These results demonstrate that dormice are able to fully preserve kidney cortex structure under extreme conditions resembling e.g. severe ischaemia or hypothermic organ storage for transplantation, and reperfusion. Elucidation of the mechanisms involved in such a natural model of organ preservation could be relevant to human medicine.

Préservation de la fertilité masculine et cancer [Fertility preservation and cancer in the male].

Improvement in cancer treatments resulted in an increased number of men surviving cancer. Quality of life has become an important issue in these patients. Anti cancer treatments might have transient or definitive harmful effects on male fertility. Sperm cryoconservation is currently the only proven method to preserve fertility in patients undergoing oncologic treatment. It should be proposed to every patient at reproductive age before chemotherapy, radiotherapy or any surgery involving reproductive tract. Despite low use rate, this simple method could allow patients presenting infertility after treatment to father a child.

When the mummy is digital : preservation and dissemination

Most educational institutions include nowadays a digital repository as part of their development and positioning strategy. The main goals of a digital repository are preservation and dissemination, which are some how contradictory, especially if the repository follows an open approach, as it is designed, built and managed from an institutional perspective, although it is intended to be used by teachers and learners. This fact may lead to a low level of usage, as final users are not able to integrate the learning object repository into their learning process. In this paper we will discuss how to promote open educational resources by connecting open repositories with open social networks, bridging the gap between resources and final users (teachers and learners).

WePreserve 2009: DPE/Planets/CASPAR/nestor Joint Training Event: The Preservation challenge: basic concepts and practical applications (Barcelona, 23-27 març 2009)

Reseña del congreso WePreserve 2009 que tuvo lugar los pasados 23 al 27 de marzo en Barcelona, organizadopor la Facultad de Biblioteconomía y Documentación de la Universitat de Barcelona, con la colaboración del Institut d'Estudis Catalans, la Biblioteca de Catalunya y el Consorci de Biblioteques de Barcelona. El seminario 2009 WePreserve se celebra anualmente desde el año 2007 y participan todas las figuras de referencia europeas en materia de investigación en sistemas y metodologías que garantizan la preservación digital de los documentos: Digital Preservation Europe (DPE), Preservation and Long-term Access Through Networked Services (Planets), Cultural Artistic and Scientific Knowledge for Preservation, Access and Retrieval (CASPAR), y Network of expertise in Digital long-term preservation (nestor).