Orbit decidability and the conjugacy problem for some extensions of groups

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

Elements of algebraic geometry and the positive theory of partially commutative groups

The first main result of the paper is a criterion for a partially commutative group G to be a domain. It allows us to reduce the study of algebraic sets over G to the study of irreducible algebraic sets, and reduce the elementary theory of G (of a coordinate group over G) to the elementary theories of the direct factors of G (to the elementary theory of coordinate groups of irreducible algebraic sets). Then we establish normal forms for quantifier-free formulas over a non-abelian directly indecomposable partially commutative group H. Analogously to the case of free groups, we introduce the notion of a generalised equation and prove that the positive theory of H has quantifier elimination and that arbitrary first-order formulas lift from H to H * F, where F is a free group of finite rank. As a consequence, the positive theory of an arbitrary partially commutative group is decidable.

Metric properties of the braided Thompson's groups

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

On the intersection of free subgroups in free products of groups

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

A classification, up to hyperbolicity, of groups given by 2 generators and one relator of length 8

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

Social polarization: introducing distances between and within groups

The measurement of social polarization has received little attention from the literature. The only social polarization index that has been used to measure religious or ethnic polarization (the RQ index) has several shortcomings that are critically discussed in the paper. In particular, that index is not taking into account the existing distance between and within different groups. A couple of axiomatically characterized social polarization indices that overcome these limitations are presented. In the empirical section we show that the rankings of countries according to the levels of polarization change to a great extent when we replace the RQ index by the indices presented in this paper.

Validation of the IMPACT-III quality of life questionnaire in Swiss children with inflammatory bowel disease.

BACKGROUND AND AIMS: Inflammatory bowel disease (IBD) frequently manifests during childhood and adolescence. For providing and understanding a comprehensive picture of a patients' health status, health-related quality of life (HRQoL) instruments are an essential complement to clinical symptoms and functional limitations. Currently, the IMPACT-III questionnaire is one of the most frequently used disease-specific HRQoL instrument among patients with IBD. However, there is a lack of studies examining the validation and reliability of this instrument. METHODS: 146 paediatric IBD patients from the multicenter Swiss IBD paediatric cohort study database were included in the study. Medical and laboratory data were extracted from the hospital records. HRQoL data were assessed by means of standardized questionnaires filled out by the patients in a face-to-face interview. RESULTS: The original six IMPACT-III domain scales could not be replicated in the current sample. A principal component analysis with the extraction of four factor scores revealed the most robust solution. The four factors indicated good internal reliability (Cronbach's alpha=.64-.86), good concurrent validity measured by correlations with the generic KIDSCREEN-27 scales and excellent discriminant validity for the dimension of physical functioning measured by HRQoL differences for active and inactive severity groups (p<.001, d=1.04). CONCLUSIONS: This study with Swiss children with IBD indicates good validity and reliability for the IMPACT-III questionnaire. However, our findings suggest a slightly different factor structure than originally proposed. The IMPACT-III questionnaire can be recommended for its use in clinical practice. The factor structure should be further examined in other samples.

The Global Dimension to Fiscal Sustainability

This paper examines the issue of fiscal sustainability in emerging market countries and industrial countries. We highlight the importance of the time series properties of the primary surplus and debt, and find evidence of a positive long run relationship. Consequently we emphasise, that especially for emerging markets, it is important to recognise the implications of global capital market shocks for fiscal sustainability, a relationship which has hitherto been ignored in the empirical literature. Using a factor model we demonstrate that the relationship between deficit and debt is conditional upon a global factor and we suggest that this global factor is related to world-wide liquidity. We also demonstrate that this acts as a constraint on emerging market economies’ fiscal policy.

Relations intergroupes : attribution à la discrimination et perception d'hostilité chez autrui

Résumé: La thèse que nous présentons s'intéresse aux phénomènes d'attribution d'intentions hostiles. Dodge (1980) observe que les individus agressifs ont tendance, en situation ambiguë, à sur-attribuer des intentions hostiles à leurs pairs, ce qui induit des réponses agressives. Pour l'auteur, l'attribution d'intentions hostiles est un médiateur entre certaines caractéristiques personnelles (l'agressivité) des individus, et le type de réponses qu'ils apportent aux situations. Cependant, les informations concernant l'appartenance groupale des "pairs" ne sont jamais prises en compte dans leurs études. Si ce processus est perméable à l'influence des normes et croyances (Bègue et Muller, 2006), aucune étude ne met en évidence quel serait l'impact d'informations groupales sur l'élaboration des réponses aux situations, dans le cadre de ce modèle. L'objectif de cette thèse est de montrer que l'attribution d'intentions hostiles peut être envisagée comme un processus agissant également à un niveau intergroupes et donc prenant en compte des informations groupales sur les individus. En s'inspirant du modèle de Dodge, nous avons émis l'hypothèse que les logiques intergroupes intervenaient dans l'interprétation des intentions des acteurs impliqués dans les interactions, afin de produire une réponse adaptée aux logiques intergroupes. Afin de tester cette hypothèse, nous avons suivi trois axes de recherches: Dans le premier de ces axes, nous avons introduit, dans le paradigme de Dodge, des informations .sur l'appartenance groupale des protagonistes de l'interaction (endogroupe vs exogroupe). Nous avons montré que le type de situation (ambiguë vs hostile) est moins important que l'information groupale dans la production d'une réponse à la situation (Étude 1). En outre, nous avons mis en évidence des processus différents selon la position des individus dans leur groupe (Étude 2). Dans le second axe, nous avons montré que si les différences de statut entre groupes n'influençaient pas directement le modèle de Dodge, elles interagissaient avec l'appartenance groupale et la clarté de la situation au niveau de l'attribution d'intentions hostiles (étude 3) et des intentions comportementales (Ettide 4). Dans le troisième et deriúer axe, nous avons introduit l'attribution d'intentions hostiles dans un processus de dévalorisation d'une cible expliquant un échec par la discrimination (Kaiser et Miller, 2001; 2003). Nous avons alors montré que l'attribution d'intentions hostiles médiatisait le lien entre l'attribution mobilisée pour expliquer l'événement et l'évaluation de la cible (Étude 5), et que ce type d'attribution était spécifique, aux intentions comportementales agressives (Études 6). Nous avons alors conclu sur la dimension sociale de l'attribution d'intentions hostiles et sur le fait qu'il s'agissait d'un élément permettant la construction d'une représentation des interactions sociales. Abstract The present thesis focuses on the phenomena of hostile intents attribution. Dodge (1980) observes that in ambiguous situations, aggressive people tend to over attribute hostile intents to others. This attribution leads them to respond aggressively. According to the author, hostile intents attribution mediates the link between some personal characteristics (aggressiveness for example) of individuals and their responses to the situation. However information related to participants group membership is always neglected in these studies. Begue and Muller (2006) showed that some beliefs could moderate the interaction between aggressiveness and hostile intents attribution on behaviors, but no study exhibited evidence of a similar effect with social information. The aim of this thesis is to show that hostile intents attribution needs to be considered at an intergroup level by taking into account people's group ineinbership. Based on the Dodge model, we formulated the hypothesis that intergroup strategies had an impact on actors' intents interpretations which in return should lead to different but adapted reactions to the situation. To test this hypothesis, three lines of research were developed. In the first line, we introduced, in the Dodge's paradigm, some information about the participants group membership (ingroup vs outgroup). We showed that when elaborating a response to a specific situation its nature (ambiguous vs hostile) had less impact than group membership information (Study 1). In addition, we highlighted some different processes according to the position of individuals in their group (Study 2). In the second line, we showed that if the differences between groups status didn't influence the Dodge model, they interacted with group membership and situation nature to influence hostile intents attribution (Study 3) and behaviors intents (Study 4). In the last line of research, we introduced hostile intents attribution within the process of derogation of a target explaining its failure by discrimination (Kaiser and Miller, 2001; 2003). We showed that hostile intents attribution mediated the link between the attibution mobilized to explain the failure and the derogation of the target (Study 5), and that this attribution type was specifically linked to aggressive behavior intents (Study 6). We finally concluded that hostile intents attribution imply an important social dimension which needs to be taken into account because involved in the construction of a representation of social interactions.

Ecologic correlations of selected food groups with disease incidence and mortality in Switzerland.

Background: There is little information regarding the impact of diet on disease incidence and mortality in Switzerland. We assessed ecologic correlations between food availability and disease.Methods: In this ecologic study for the period 1970-2009, food availability was measured using the food balance sheets of the Food and Agriculture Organization of the United Nations. Standardized mortality rates (SMRs) were obtained from the Swiss Federal Office of Statistics. Cancer incidence data were obtained from the World Health Organization Health For All database and the Vaud Cancer Registry. Associations between food availability and mortality/incidence were assessed at lags 0, 5, 10, and 15 years by multivariate regression adjusted for total caloric intake.Results: Alcoholic beverages and fruit availability were positively associated, and fish availability was inversely associated, with SMRs for cardiovascular diseases. Animal products, meat, and animal fats were positively associated with the SMR for ischemic heart disease only. For cancer, the results of analysis using SMRs and incidence rates were contradictory. Alcoholic beverages and fruits were positively associated with SMRs for all cancer but inversely associated with all-cancer incidence rates. Similar findings were obtained for all other foods except vegetables, which were weakly inversely associated with SMRs and incidence rates. Use of a 15-year lag reversed the associations with animal and vegetal products, weakened the association with alcohol and fruits, and strengthened the association with fish.Conclusions: Ecologic associations between food availability and disease vary considerably on the basis of whether mortality or incidence rates are used in the analysis. Great care is thus necessary when interpreting our results.

Musical actions of dihedral groups

The sequence of pitches which form a musical melody can be transposed or inverted. Since the 1970s, music theorists have modeled musical transposition and inversion in terms of an action of the dihedral group of order 24. More recently music theorists have found an intriguing second way that the dihedral group of order 24 acts on the set of major and minor triads. We illustrate both geometrically and algebraically how these two actions are dual. Both actions and their duality have been used to analyze works of music as diverse as Hindemith and the Beatles.

Conjugacy in Thompson's groups

We give a unified solution the conjugacy problem in Thompson’s groups F, V , and T using strand diagrams, and we analyze the complexity of the resulting algorithms.

Mather invariants in groups of piecewise-linear homeomorphisms

We describe the relation between two characterizations of conjugacy in groups of piecewise-linear homeomorphisms, discovered by Brin and Squier in [2] and Kassabov and Matucci in [5]. Thanks to the interplay between the techniques, we produce a simplified point of view of conjugacy that allows ua to easily recover centralizers and lends itself to generalization.

Identification of particular groups of microRNAs that positively or negatively impact on beta cell function in obese models of type 2 diabetes.

AIMS/HYPOTHESIS: MicroRNAs are key regulators of gene expression involved in health and disease. The goal of our study was to investigate the global changes in beta cell microRNA expression occurring in two models of obesity-associated type 2 diabetes and to assess their potential contribution to the development of the disease. METHODS: MicroRNA profiling of pancreatic islets isolated from prediabetic and diabetic db/db mice and from mice fed a high-fat diet was performed by microarray. The functional impact of the changes in microRNA expression was assessed by reproducing them in vitro in primary rat and human beta cells. RESULTS: MicroRNAs differentially expressed in both models of obesity-associated type 2 diabetes fall into two distinct categories. A group including miR-132, miR-184 and miR-338-3p displays expression changes occurring long before the onset of diabetes. Functional studies indicate that these expression changes have positive effects on beta cell activities and mass. In contrast, modifications in the levels of miR-34a, miR-146a, miR-199a-3p, miR-203, miR-210 and miR-383 primarily occur in diabetic mice and result in increased beta cell apoptosis. These results indicate that obesity and insulin resistance trigger adaptations in the levels of particular microRNAs to allow sustained beta cell function, and that additional microRNA deregulation negatively impacting on insulin-secreting cells may cause beta cell demise and diabetes manifestation. CONCLUSIONS/INTERPRETATION: We propose that maintenance of blood glucose homeostasis or progression toward glucose intolerance and type 2 diabetes may be determined by the balance between expression changes of particular microRNAs.