Le Système partisan nationalitaire corse contemporain: étude d’un phénomène politique

Utilisée la terminologie « système partisan nationalitaire » pour désigner en totalité le champ politique qui recouvre les régionalistes, les autonomistes, les nationalistes et les indépendentistes, l’auteur étude le phénomène politique de la Corse d’aujourd’hui. Avec une claire conclusion global : le nationalisme corse contemporain a dépassé les limites du phénomène politique pour s’étendre sur la totalité de la vie politique et social insulaire. Aujourd’hui, il domine le monde syndical, l’économie et la domaine universitaire et scientifique.

Limit cycles for cubic systems with a symmetry of order 4 and without in nite critical points

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Petits points et conjecture de Bogomolov

This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang’s proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov theory. Some further developments are mentioned.

Hopf bifurcation for degenerate singular points of multiplicity 2n-1 in dimension 3

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CM points and weight 3=2 modular forms

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The Cultural Olympiad of Barcelona in 1992: Good points and bad points. Lessons for the Future

This text was presented at the Symposium “Olympic Arts and Culture Festivals: Recent Experiences and Future Design”, held in Chicago on the 23-24 June 2008. It provides with an analysis of good and bad points of the Cultural Olympiad of Barcelona’92 in order to discover, from that past experience, any lessons for future Cultural Olympiads and Olympic Movement cultural policy in general, as well as to rethink, in a critical way, Catalan cultural policies.

Le Système partisan français: multipolarité et bipolarisation contrainte

La France inventa le dualisme gauche-droite et le système de partis se lit volontiers à travers cette dichotomie. Pourtant à l’instar d’autres «vieilles démocraties» du continent européen le système partisan français, fruit d’une longue histoire, se révèle à l’analyse bien plus riche que la «bipolarisation» donne à croire. A partir du contraste saisissant entre les scrutins tenus en 2007: le premier tour des présidentielles marqué par une remontée du centrisme d’une part et les législatives consacrant la suprématie de l’UMP et le statut d’opposition du PS, d’autre part. La thèse défendue ici est que la France est bel et bien multipolaire, ne va pas vers le bipartisme et que la bipolarisation est artificielle et résulte de contraintes liées à un mode de scrutin inéquitable. Chaque fois que l’électeur se voit offrir la possibilité d’échapper à cette cage de fer-européennes, premier tour de présidentielle- il exprime sa diversité.

Ribet bimodules and the specialization of Heegner points

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Avaluació Ambiental/ L'évaluation environnementale

L'objectiu d’aquesta fitxa tècnica és la difusió de la metodologia Anàlisi de Cicle de Vida, ACV, com a mètode per avaluar ambientalment l’agricultura ecològica, detectar els punts febles i aportar alternatives. Els estudis d’ACV utilitzen la metodologia proposada per les normatives ISO (ISO-14040, 2006; ISO-14044, 2006). Els estudis previs que l’han aplicat avalen la metodologia, mostrant que l’eina ACV reuneix les característiques d’objectivitat i transparència per a l’estudi de l’impacte ambiental de la producció agrària ecològica. Existeixen, però, aspectes metodològics poc desenvolupats que requeriran de futura recerca i que resumim en aquesta fitxa. Aspectes principalment relacionats amb la necessitat de bases de dades locals per una correcta realització dels inventaris i consens en les metodologies per anàlisis d’impactes relacionats principalment amb l’ús del sòl, biodiversitat i toxicitat.

Alternative ways to estimate change points in multinomial sequences. An application to an authorship attribution problem

The statistical analysis of literary style is the part of stylometry that compares measurable characteristicsin a text that are rarely controlled by the author, with those in other texts. When thegoal is to settle authorship questions, these characteristics should relate to the author’s style andnot to the genre, epoch or editor, and they should be such that their variation between authors islarger than the variation within comparable texts from the same author.For an overview of the literature on stylometry and some of the techniques involved, see for exampleMosteller and Wallace (1964, 82), Herdan (1964), Morton (1978), Holmes (1985), Oakes (1998) orLebart, Salem and Berry (1998).Tirant lo Blanc, a chivalry book, is the main work in catalan literature and it was hailed to be“the best book of its kind in the world” by Cervantes in Don Quixote. Considered by writterslike Vargas Llosa or Damaso Alonso to be the first modern novel in Europe, it has been translatedseveral times into Spanish, Italian and French, with modern English translations by Rosenthal(1996) and La Fontaine (1993). The main body of this book was written between 1460 and 1465,but it was not printed until 1490.There is an intense and long lasting debate around its authorship sprouting from its first edition,where its introduction states that the whole book is the work of Martorell (1413?-1468), while atthe end it is stated that the last one fourth of the book is by Galba (?-1490), after the death ofMartorell. Some of the authors that support the theory of single authorship are Riquer (1990),Chiner (1993) and Badia (1993), while some of those supporting the double authorship are Riquer(1947), Coromines (1956) and Ferrando (1995). For an overview of this debate, see Riquer (1990).Neither of the two candidate authors left any text comparable to the one under study, and thereforediscriminant analysis can not be used to help classify chapters by author. By using sample textsencompassing about ten percent of the book, and looking at word length and at the use of 44conjunctions, prepositions and articles, Ginebra and Cabos (1998) detect heterogeneities that mightindicate the existence of two authors. By analyzing the diversity of the vocabulary, Riba andGinebra (2000) estimates that stylistic boundary to be near chapter 383.Following the lead of the extensive literature, this paper looks into word length, the use of the mostfrequent words and into the use of vowels in each chapter of the book. Given that the featuresselected are categorical, that leads to three contingency tables of ordered rows and therefore tothree sequences of multinomial observations.Section 2 explores these sequences graphically, observing a clear shift in their distribution. Section 3describes the problem of the estimation of a suden change-point in those sequences, in the followingsections we propose various ways to estimate change-points in multinomial sequences; the methodin section 4 involves fitting models for polytomous data, the one in Section 5 fits gamma modelsonto the sequence of Chi-square distances between each row profiles and the average profile, theone in Section 6 fits models onto the sequence of values taken by the first component of thecorrespondence analysis as well as onto sequences of other summary measures like the averageword length. In Section 7 we fit models onto the marginal binomial sequences to identify thefeatures that distinguish the chapters before and after that boundary. Most methods rely heavilyon the use of generalized linear models

Equidistribution estimates for Fekete points on complex manifolds

We study the equidistribution of Fekete points in a compact complex manifold. These are extremal point configurations defined through sections of powers of a positive line bundle. Their equidistribution is a known result. The novelty of our approach is that we relate them to the problem of sampling and interpolation on line bundles, which allows us to estimate the equidistribution of the Fekete points quantitatively. In particular we estimate the Kantorovich-Wasserstein distance of the Fekete points to its limiting measure. The sampling and interpolation arrays on line bundles are a subject of independent interest, and we provide necessary density conditions through the classical approach of Landau, that in this context measures the local dimension of the space of sections of the line bundle. We obtain a complete geometric characterization of sampling and interpolation arrays in the case of compact manifolds of dimension one, and we prove that there are no arrays of both sampling and interpolation in the more general setting of semipositive line bundles.

The hardness profile as a tool to detect spurious stationary points in the potential energy surface

The energy and hardness profile for a series of inter and intramolecular conformational changes at several levels of calculation were computed. The hardness profiles were found to be calculated as the difference between the vertical ionization potential and electron affinity. The hardness profile shows the correct number of stationary points independently of the basis set and methodology used. It was found that the hardness profiles can be used to check the reliability of the energy profiles for those chemical system