Jugant amb l'atzar i la probabilitat

Treball de recerca realitzat per un alumne d'ensenyament secundari i guardonat amb un Premi CIRIT per fomentar l'esperit cientí­fic del Jovent l'any 2009. Quins científics van interessar-se per la probabilitat en els seus inicis?, quins altres van fer-la evolucionar? i quins conceptes coneixem i apliquem a l'actualitat? són preguntes que el treball teòric es proposa respondre. Pel que fa a la part pràctica del treball, el seu objectiu és el de crear un mecanisme capaç de generar nombres aleatoris a partir d'un taulell condicionat per paràmetres. El treball s'estructura en 4 blocs que aborden diversos camps de la probabilitat: la història de la probabilitat, els conceptes bàsics de la probabilitat, una introducció pràctica al mecanisme aleatori i el treball de camp. Els resultats finals rebel·len la possibilitat de generar nombres aleatoris a partir d'aparells senzills.

Health care supply, payment system and medical practice : evidence from obstetric practice

ABSTRACTA significant share of deliveries are performed by Cesarian section (C-section) in Europe and in many developed and developing countries. The aims of this thesis are to highlight the non medical, especially economic and financial, incentives that explain the use of C-section, as well as the medical consequences of C-section on women's health, in regard with other factors of ob¬stetrical care quality such as hospital concentration. Those diagnoses enable us to exhibit ways of improvement of obstetrical care quality in France. Our analysis focus on two countries, France and Switzerland. In the first part of the thesis, we show the influence of two non medical factors on the C-section use, namely the hospital payment system on the one hand and the obstetricians behaviour, especially their demand for leisure, on the other hand. With French data on the year 2003, we show firstly that the fee-for-service payment system of private for profit hospitals induces a higher probability of using C-section. Obstetricians play also a preeminent role in the decision to use a C-section, as the probability of a C-section rises with the number of obstetricians. We then focus on a French reform introduced in 2004, to investigate the impact of Prospective Payment System on obstetric practise. We show that the rise of C-section rate between 2003 and 2006 is mainly caused by changes in hospitals and patients features. Obstetricians practises do not vary a lot for patients with the same risk code. In the mean time however, the number of women coded with a high risk rises. This can be caused by improvements in the quality of coding, obstetricians chosing codes that match better the real health state of their patients. Yet, it can also show that obstetricians change their coding practises to justify the use of certain practises, such as C-section, with no regard to the health state of patients. Financial factors are not the only non medical fac¬tors that can influence the resort to C-section. Using Shelton Brown ΠΙ identification strategy, we focus on the potential impact of obstetricians leisure preference on the use of C-section. We use the distributions of days and hours of delivering and the types of C-section - planned or emergency C-sections - to show that the obstetricians demand for leisure has a significant impact on the resort to C-section, but only in emergency situations. The second part of the thesis deals with some ways to improve obstetric care quality. We use on the one hand swiss and french data to study the impact of C-section on the patients' probability of having an obstetric complication and on the other hand the influence of hospital concentration on the quality of obstetric care. We find the same results as former medical studies about the risks entailed by C-section on obstetric complications.These results prove women ought to be better informed of the medical consequences of C-section and that the slowing of C-section use should be a priority of public health policy. We finally focus on another way to improve obstetric care quality, that is hospital lmarket concentration. We investigate the impact of hospital concentration by integrating the Herfindahl-Hirschman index in our model, on health care quality, measured by the HCUP indicator. We find that hospital concentration has a negative impact on obstetric care quality, which undermines today's policy of hospital closings in France.JEL classification: 112; 118Keywords: Hospital; C-section; Payment System; Counterfactual Estimation; Quality of Care.RÉSUMÉUne part importante des accouchements sont réalisés par césarienne en Europe et dans de nom¬breux pays développés ou en développement. Les objectifs de cette thèse sont de mettre en évidence les déterminants non médicaux, notamment économiques et financiers, expliquant le développe¬ment de cette pratique, ainsi que ses conséquences sur la santé des femmes après Γ accouchement, en lien avec d'autres facteurs comme la concentration locale des structures hospitalières. Les résul¬tats exposés dans cette thèse éclairent les perspectives et voies d'amélioration de la qualité des soins en obstétriques.Notre analyse se concentre sur deux pays : la France et la Suisse. Dans la première partie de la thèse, nous mettons en évidence l'influence de deux déterminants non médicaux sur l'emploi de la césarienne : le système de paiement des hôpitaux d'une part, et le comportement des médecins obstétriciens d'autre part. En étudiant des données françaises de 2003, nous montrons d'abord que le financement à l'acte des établissements privés engendre une hausse de la proba¬bilité de pratiquer une césarienne. Le rôle de l'obstrétricien paraît également déterminant dans la décision d'opérer une césarienne, la probabilité d'employer cette technique augmentant avec le nombre d'obstétriciens. Nous nous intéressons ensuite à l'impact de la mise en place en 2004 du système de paiement prospectif sur l'évolution des pratiques obstétricales entre 2003 et 2006 en France. La hausse du taux de recours à la césarienne entre 2004 et 2006 peut ainsi être principa¬lement imputée aux évolutions des caractéristiques des hôpitaux et des patients, les pratiques des obstétriciens, pour un même codage de la situation du patient, variant peu. Dans le même temps cependant, les pratiques de codage des patients parles obstétriciens évoluent fortement, les femmes étant de plus en plus nombreuses à porter des codes correspondant à des situations à risques. Cette évolution peut indiquer que la qualité du codage en 2006 s'est améliorée par rapport à 2004, le codage correspondant de plus en plus à la situation réelle des patientes. H peut aussi indiquer que les pratiques de codage évoluent pour justifier un recours accru à la césarienne, sans lien avec l'état réel des patientes. Les facteurs financiers ne sont pas les seuls facteurs non médicaux à pouvoir expliquer le recours à la césarienne : nous nous intéressons, en suivant la stratégie d'identifica¬tion de Shelton Brown m, à l'impact potentiel de la demande de loisir des médecins obstétriciens sur la pratique de la césarienne. En utilisant la distribution des jours et heures d'accouchement, et en distinguant les césariennes planifiées de celles effectuées en urgence, nous constatons que la demande de loisir des obstétriciens influence significativement le recours à la césarienne, mais uni¬quement pour les interventions d'urgence. La deuxième partie de la thèse est consacrée à l'étude de la qualité des soins en obstétriques. Nous utilisons des données suisses et françaises pour analyser d'une part l'impact de la césarienne sur la survenue de complications obstétricales et d'autre part l'impact de la concentration des soins sur la qualité des soins en obstétrique. Nons confirmons les résultats antérieurs de la littérature médicale sur la dangerosité de la césarienne comme facteur de complications obstétricales. Ces conclusions montrent que les femmes ont besoin d'être informées des conséquences de la césarienne sur leur santé et que le ralentissement de l'augmentation de la pratique de la césarienne devrait être un objectif de la politique publique de santé. Nous nous in¬téressons à un autre facteur d'amélioration des soins en obstrétique, l'organisation des hôpitaux et particulièrement leur concentration. Nous estimons ainsi l'effet de la concentration sur la qualité des soins obstétriques en intégrant l'indice de Herfindahl-Hirschman dans notre modèle, la qualité des soins étant mesurée à l'aide de l'indicateur HCUP. Nous constatons que la concentration des naissances a un impact négatif sur la qualité des soins en obstétrique, résultat qui va dans le sens contraire des politiques de fermeture d'hôpitaux menées actuellement en France. JEL classification : 112 ; 118Mots-clés : Hôpital ; Césarienne ; Système de paiement ; Contrefactuels ; Qualité des soins, sur la qualité des soins en obstétrique.

Desconnexió de la xarxa

Treball de recerca realitzat per un alumne d'ensenyament secundari i guardonat amb un Premi CIRIT per fomentar l'esperit cientí­fic del Jovent l'any 2009. Aquest treball es planteja com un repte la necessitat de connexió a una xarxa de subministrament elèctric i d'aigua. L'objectiu del treball ha estat comprovar si, tan tècnicament com econòmica, es pot aconseguir l'autosuficiència d'una casa de muntanya del Vallès Oriental tot aprofitant els recursos que ens ofereix el medi, però sense haver de renunciar al nivell de vida al qual ens hem acostumat durant els darrers anys. Després d'una recollida de dades i valoració del consum energètic mínim que volem imposar, hem dissenyat una instal·lació capaç d'aprofitar les energies renovables de l'entorn i de satisfer les nostres necessitats. La instal·lació inclou plaques fotovoltaiques, col·lectors solars, cisternes per a la recollida d'aigua, bombes, etc. Finalment, s'inclou un pressupost d'aquesta instal·lació, que indica que els diners que caldria invertir són massa. Es demostra, doncs, que l'autosuficiència d'aquesta casa és tècnicament viable, però econòmicament inviable (o gens rendible).

El reciclatge a Cerdanyola del Vallès

Treball de recerca realitzat per alumnes d'ensenyament secundari i guardonat amb un Premi CIRIT per fomentar l'esperit científic del Jovent l'any 2009. La hipòtesi plantejada ha estat si els joves estan més conscienciats que la gent gran en el reciclatge. Per tal de demostrar aquesta hipòtesi s’ha investigat sobre el procés que segueixen els diferents tipus de residus i les diferents estratègies que s'han de seguir per reciclar. Després de buscar informació sobre l'evolució del reciclatge a Cerdanyola es va elaborar un model d'enquesta per saber els diferents hàbits de reciclatge i es van comparar segons les diferents franges d'edat. Aquestes enquestes també van proporcionar informació sobre els problemes que tenen els ciutadans amb el servei de reciclatge a Cerdanyola. Posteriorment es va visitar la deixalleria de la ciutat i es va realitzar una entrevista a l'encarregat d'aquesta. Finalment, cal destacar tota la informació proporcionada per l'alcalde de Cerdanyola sobre la política mediambiental que té el govern local. La hipòtesi contrastada ha resultat certa.

La crisi sub-prime i el crack de 1929: Comparació d'episodis d'eufòria financera

Treball de recerca realitzat per un alumne d'ensenyament secundari i guardonat amb un Premi CIRIT per fomentar l'esperit científic del Jovent l'any 2009. La present investigació té per objecte d’estudi la relació, atès el període de turbulències econòmiques que travessa el món globalitzat, entre els episodis d’eufòria financera i les crisi financeres i econòmiques, i la periodicitat amb les que aquestes es produeixen. Aquesta pretén confrontar-se des d’una aproximació històric-econòmica, mitjançant l’anàlisi i la comparació de dos successos -el crack borsari de 1929 i la crisi sub-prime- per tal de demostrar la existència de comuns denominadors, i, a la llum dels resultats, apreciar les conclusions que aporta la Història. Serà, doncs, aquesta periodicitat i les seves implicacions la qual s'ambicionarà contrastar amb la realitat mitjançant l'aplicació i l'anàlisi pràctica de dos episodis rellevants i paradigmàtics, amb el recolzament i l'autoritat del model comparatiu establerts per l'economista John Kenneth Galbraith al seu llibre ''Breve historia de la euforia financiera''.

Development of an immunoenzymatic assay using a monoclonal antibody against a 50-kDa catabolite from the P126 Plasmodium falciparum protein to the diagnosis of malaria infection

The WHO criterion of defering any donation of blood by a confirmed case of malaria for three years after cessation of therapy can not be applied in areas where malaria in endemic. For this reason we developed an immunoenzymatic assay for the detection of plasmodial antigens for blood screening in malararial endemic areas. So, we tested sera from 191 individuals. Among patients with active disease 100% of the cases of Plasmodium falciparum or mixed infections and 91.7% of those with P. vivax were positive for the presence of plasmodial antigens. The lower parasitaemia detected was 0.0003% for P. vivax malária. When the frequency of positive circulating malarial antigens was evaluated among asymptomatic and symptomatic individuals with negative TBS, positive results were found in respectively 38.7% and 17.7% of the individuals studied in the 30 days after confirmed malaria attack. Data provide by these assays have shown that ELISA seemed to be more sensitive than parasitological examination for malaria diagnosis. This test by virtue of its high sensivity and the facilities in processing a large number of specimens, can prove to be useful in endemic areas for the recognition of asymptomatic malaria and screening of blood donors.

Harmonization of research and control in schistosomiasis

I have been employed by several different organizations during over 30 years working on schistosomiasis, the majority spent in endemic areas of Caribean, South America, Africa and the Western Pacific. Much of the work is best classified as applied research but sometimes it strayed to the extremes of either public health control programmes or pure research. Over this period, there have been several significant research developments that have altered our whole approach to control. Ideally, research and control should complement each other but, in reality, they sometimes have conflicting objectives. Public health workers understandably wish to provide immediate, shot-term protection to the communities in their care, but research workers may, within ethical limits, reasonably want to observe untreated communities for extended periods in order to understand the underluing process of transmission, disease pathogenesis and immunity to help develop more effective control measures. An example of this situation has occured recently in Senegal where water development projects seem to have favoured the introduction and spreed of Schistosoma mansoni in the Senegal River Basin. I have been asked to be the scientific consultant to the newly formed ESPOIR programme, linking European research organizations and the Senegal Ministry of Health, to reconcile the conflictiong aims of public health workers, wishing to use whatever funds can be obtained for an immediate chemotherapy to try to eliminate the focus, at present confined to the vicinity of a relatively small, commercially run sugar irrigation scheme; and research workers who see a rare chance to study the development of immune mechanisms in a adults in a community not previously exposed to the infection. This information could prove invaluable in understanding the development of immunity and the pathogenesis of disease, leading eventually to the development of vaccines to revolutionise the future approach to schistosomiasis...

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.

La relation ambiguë des protestantismes à la sociologie

(Résumé de l'ouvrage) What are the relations between sociology and the different religions - Christianity with its various branches, Judaism, Islam, Oriental religions, sects and New Religious Movements ? That is the question which this work, - conceived on the occasion of the XXVth Conference of the International Society for the Sociology of Religion/Société Internationale de Sociologie des Religions (SISR) - wishes to clarify. The book retraces the varied and troubled history of these relations and also reveals how in opening up its research to other religions besides the Christan, sociology is forced to redefine the very object of its field of study. What is the religious? This question, which until recently was considered impertinent, informs this book throughout. If confronts the necessity of rethinking theories and methodological appoaches which, constructed in the context of 19th and early 20th century Western Europe, prove to be rather inadequate for encompassing contemporary religious phenomena and religious manifestations in other contexts. To these new theoretical and methodological demands is added, for the sociologist, a deontological imperative, which takes on all the more importance today as the religious provokes passionate social debate.

Generic super-exponential stability of invariant tori in Hamiltonian systems

In this article, we consider solutions starting close to some linearly stable invariant tori in an analytic Hamiltonian system and we prove results of stability for a super-exponentially long interval of time, under generic conditions. The proof combines classical Birkhoff normal forms and a new method to obtain generic Nekhoroshev estimates developed by the author and L. Niederman in another paper. We will mainly focus on the neighbourhood of elliptic fixed points, the other cases being completely similar.

Resurgence of inner solutions for perturbations of the McMillan map

A sequence of “inner equations” attached to certain perturbations of the McMillan map was considered in [MSS09], their solutions were used in that article to measure an exponentially small separatrix splitting. We prove here all the results relative to these equations which are necessary to complete the proof of the main result of [MSS09]. The present work relies on ideas from resurgence theory: we describe the formal solutions, study the analyticity of their Borel transforms and use ´Ecalle’s alien derivations to measure the discrepancy between different Borel-Laplace sums.

A decision-making Fokker-Planck model in computational neuroscience

Minimal models for the explanation of decision-making in computational neuroscience are based on the analysis of the evolution for the average firing rates of two interacting neuron populations. While these models typically lead to multi-stable scenario for the basic derived dynamical systems, noise is an important feature of the model taking into account finite-size effects and robustness of the decisions. These stochastic dynamical systems can be analyzed by studying carefully their associated Fokker-Planck partial differential equation. In particular, we discuss the existence, positivity and uniqueness for the solution of the stationary equation, as well as for the time evolving problem. Moreover, we prove convergence of the solution to the the stationary state representing the probability distribution of finding the neuron families in each of the decision states characterized by their average firing rates. Finally, we propose a numerical scheme allowing for simulations performed on the Fokker-Planck equation which are in agreement with those obtained recently by a moment method applied to the stochastic differential system. Our approach leads to a more detailed analytical and numerical study of this decision-making model in computational neuroscience.

The Multiple-partners assignment game with heterogeneous sales and multi-unit demands: competitive equilibria

A multiple-partners assignment game with heterogeneous sales and multiunit demands consists of a set of sellers that own a given number of indivisible units of (potentially many different) goods and a set of buyers who value those units and want to buy at most an exogenously fixed number of units. We define a competitive equilibrium for this generalized assignment game and prove its existence by using only linear programming. In particular, we show how to compute equilibrium price vectors from the solutions of the dual linear program associated to the primal linear program defined to find optimal assignments. Using only linear programming tools, we also show (i) that the set of competitive equilibria (pairs of price vectors and assignments) has a Cartesian product structure: each equilibrium price vector is part of a competitive equilibrium with all optimal assignments, and vice versa; (ii) that the set of (restricted) equilibrium price vectors has a natural lattice structure; and (iii) how this structure is translated into the set of agents' utilities that are attainable at equilibrium.

On Cooperative solutions of a generalized assignment game: limit theorems to the set of competitive equilibria

We study two cooperative solutions of a market with indivisible goods modeled as a generalized assignment game: Set-wise stability and Core. We first establish that the Set-wise stable set is contained in the Core and it contains the non-empty set of competitive equilibrium payoffs. We then state and prove three limit results for replicated markets. First, the sequence of Cores of replicated markets converges to the set of competitive equilibrium payoffs when the number of replicas tends to infinity. Second, the Set-wise stable set of a two-fold replicated market already coincides with the set of competitive equilibrium payoffs. Third, for any number of replicas there is a market with a Core payoff that is not a competitive equilibrium payoff.

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.