Integrable geodesic flows and Multi-Centre versus Bianchi A metrics

It is shown that most, but not all, of the four dimensional metrics in the Multi-Centre family with integrable geodesic flow may be recognized as belonging to spatially homogeneous Bianchi type A metrics. We show that any diagonal bi-axial Bianchi II metric has an integrable geodesic flow, and that the simplest hyperk\"ahler metric in this family displays a finite dimensional W-algebra for its observables. Our analysis puts also to light non-diagonal Bianchi VI$_0$ and VII$_0$ metrics which seem to be new. We conclude by showing that the elliptic coordinates advocated in the literature do not separate the Hamilton-Jacobi equation for the tri-axial Bianchi IX metric.Comment: 22 pages, latex2e, no figure

The holonomy group at infinity of the Painleve VI Equation

We prove that the holonomy group at infinity of the Painleve VI equation is virtually commutative.Comment: 21 pages, 3 figures, Added references, Corrected typo

Problems and Factors of Non-Completion of Promising Projects by Young Entrepreneurs: The Case of Tunisia

Our study attempted to explore the different problems and factors of the non-completion of business projects by a representative sample of project promoters. Four factors were selected to examine the issue, which are: resources availability and ease of access to finance, lack of capital and its impact on projects, promoters’ competencies and cognitive skills and their projects vision as entrepreneurs to overcome obstacles. A Principal Component Analysis (PCA) has shown that the financial factor is the main factor of the non-completion of promising projects by young project promoters

Récits de mort et souvenir traumatique. Trames et traces lexicales des témoignages sur la Shoah

International audienceTestimonials of Holocaust survivors are multilayered discursive objects caught between History and memory. We argue that this polarization is embedded in the weft of the narratives in the form of lexical traces that can be untangled quantitatively. To do this, we focus on the most frequent nouns used in a corpus of 16 biographies of survivors from Auschwitz, and use 3 complementary analytical apparatus - correspondence analysis, hierarchical classification and a network-based analysis - to identify the lexical stocks structuring the corpus. Our results confirm the polarization of the narratives between a primary mnemonic content and a secondary historical/collective re-presented one.Entre mémoire et histoire, les récits des témoins de la Shoah sont des objets discursifs riches et complexes. Nous postulons qu’ils portent en eux l’événement traumatique, sous la forme de traces lexicales et d’organisations textuelles sous-jacentes. Les substantifs les plus utilisés sont d’abord extraits d’un corpus de 16 biographies de survivants d’Auschwitz, puis trois traitements de la trame co-occurrenttielle des récits sont proposés grâce à l’Analyse factorielle des Correspondances (AFC), la Classification descendante hiérarchique (CDH) et les réseaux. Au final, nous identifions deux lexiques imbriqués qui structurent les textes : un lexique « primaire » ou mémoriel relevant d’une mémoire intime proche de l’événement et un lexique « secondaire » ou historique relevant d’une mémoire sociale en partie réélaborée

Neumann-like integrable models

A countable class of integrable dynamical systems, with four dimensional phase space and conserved quantities in involution (H\_n,I\_n) are exhibited. For $n=1$ we recover Neumann sytem on T*S^2. All these systems are also integrable at the quantum level.Comment: 8 pages; latex2e;no figure. To appear in Physics Letters

I see what you mean

The ability to understand and predict others' behavior is essential for successful interactions. When making predictions about what other humans will do, we treat them as intentional systems and adopt the intentional stance, i.e., refer to their mental states such as desires and intentions. In the present experiments, we investigated whether the mere belief that the observed agent is an intentional system influences basic social attention mechanisms. We presented pictures of a human and a robot face in a gaze cuing paradigm and manipulated the likelihood of adopting the intentional stance by instruction: in some conditions, participants were told that they were observing a human or a robot, in others, that they were observing a human-like mannequin or a robot whose eyes were controlled by a human. In conditions in which participants were made to believe they were observing human behavior (intentional stance likely) gaze cuing effects were significantly larger as compared to conditions when adopting the intentional stance was less likely. This effect was independent of whether a human or a robot face was presented. Therefore, we conclude that adopting the intentional stance when observing others' behavior fundamentally influences basic mechanisms of social attention. The present results provide striking evidence that high-level cognitive processes, such as beliefs, modulate bottom-up mechanisms of attentional selection in a top-down manner