Characterizations of Lojasiewicz inequalities and applications

The classical Lojasiewicz inequality and its extensions for partial differential equation problems (Simon) and to o-minimal structures (Kurdyka) have a considerable impact on the analysis of gradient-like methods and related problems: minimization methods, complexity theory, asymptotic analysis of dissipative partial differential equations, tame geometry. This paper provides alternative characterizations of this type of inequalities for nonsmooth lower semicontinuous functions defined on a metric or a real Hilbert space. In a metric context, we show that a generalized form of the Lojasiewicz inequality (hereby called the Kurdyka- Lojasiewicz inequality) relates to metric regularity and to the Lipschitz continuity of the sublevel mapping, yielding applications to discrete methods (strong convergence of the proximal algorithm). In a Hilbert setting we further establish that asymptotic properties of the semiflow generated by -∂f are strongly linked to this inequality. This is done by introducing the notion of a piecewise subgradient curve: such curves have uniformly bounded lengths if and only if the Kurdyka- Lojasiewicz inequality is satisfied. Further characterizations in terms of talweg lines -a concept linked to the location of the less steepest points at the level sets of f- and integrability conditions are given. In the convex case these results are significantly reinforced, allowing in particular to establish the asymptotic equivalence of discrete gradient methods and continuous gradient curves. On the other hand, a counterexample of a convex C2 function in R2 is constructed to illustrate the fact that, contrary to our intuition, and unless a specific growth condition is satisfied, convex functions may fail to fulfill the Kurdyka- Lojasiewicz inequality.

Lp theory for the multidimensional aggregation equation

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

Generic Nekhoroshev theory without small divisors

In this article, we present a new approach of Nekhoroshev theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems. The proof is an extension of a method introduced by P. Lochak which combines averaging along periodic orbits with simultaneous Diophantine approximation and uses geometric arguments designed by the second author to handle generic integrable Hamiltonians. This method allows to deal with generic non-analytic Hamiltonians and to obtain new results of generic stability around linearly stable tori.

Elections in 2009? Progress and obstacles in the construction of peace in the Ivory Coast

In 2002 in the Ivory Coast three months of armed conflict ended with the division of the country. Two regions were separated by an interposition line controlled by the French Forces Licorne. This significant peace process was maintained over time, but characterized for lack of mutual confidence and political immobility, which led to an impasse and the continuation of Laurent Gbagbo in the presidency. Moreover, the peace building process was less successful because the different political agreements failed to address some of the main national problems, such as land property and identity issues. The following paper aims first to analyze the main facts and causes that instigated the conflict since the coup d’état in 2002. Secondly, the paper will analyze the peace process and point out the key elements of the Ouagadougou Peace Agreement (2007): the creation of a new and unique armed forces structure, as well as the identification of the population and implementation of an electoral process. The main goal is to provide the International Catalan Institute for Peace (ICIP) a working tool in order to send an electoral observation mission to this African country by November 2009.

¿Elecciones en 2009? Avances y obstáculos de la construcción de paz en Costa de Marfil

Tres meses de conflicto armado en Côte d'Ivoire en 2002 acabaron con la división del país en dos regiones, separadas por una línea de separación controlada por las francesas Forces Licorne. El proceso de paz se alargó en el tiempo y se caracterizó por una falta de confianza mutua y por la inmovilidad política. Estos hechos desembocaron en una situación de impasse y en la permanencia de Laurent Gbagbo en la presidencia del país. Además, los diferentes acuerdos políticos no ayudaron al proceso de construcción de paz, ya que no trataban algunos de los problemas principales del país, como la propiedad de las tierras y la identidad. Este documento de trabajo aspira, en primer lugar, a analizar los hechos principales y las causas que originaron el conflicto desde el golpe de estado de 2002. En segundo lugar, el documento analiza el proceso de paz y señala los elementos clave del Acuerdo de Paz de Ouagadougou (2007): la creación de una estructura de fuerzas armadas nueva y única, así como la identificación de la población y la convocatoria de elecciones. El objetivo principal es proporcionar una herramienta de trabajo al Institut Català Internacional per la Pau (ICIP) para enviar una futura comisión de observación electoral a este país africano.

Eleccions al 2009? Avenços i obstacles de la construcció de pau a Costa d'Ivori

Tres mesos de conflicte armat a Côte d’Ivoire durant el 2002 acabaren amb la divisió del país en dues regions, separades per una línia d’interposició controlada per les franceses Forces Licorne. El procés de pau es perllongà en el temps i es caracteritzà per una manca de confiança mútua i per una immobilitat política. Aquests fets desembocaren en una situació d’impasse i en la permanència de Laurent Gbagbo a la presidència del país. A més, els diferents acords polítics no ajudaren el procés de construcció de pau, ja que no encaraven alguns dels problemes principals del país, com ara la propietat de les terres i els assumptes d’identitat. Aquest document de treball aspira, en primer lloc, a analitzar els fets principals i les causes que originaren el conflicte des del cop d’estat del 2002. En segon lloc, el document analitza el procés de pau i assenyala els elements clau de l’Acord de Pau d’Ouagadougou (2007): la creació d’una estructura de forces armades nova i única, així com la identificació de la població i la realització d’un procés electoral. L’objectiu principal és proporcionar una eina de treball a l’Institut Català Internacional per la Pau (ICIP) per enviar una missió d’observació electoral a aquest país africà el novembre de 2009.

Élections en 2009? Progrès et obstacles dans la construction de la paix en Côte d'Ivoire

Trois mois de conflit armé en Côte d’Ivoire pendant l’année 2002 finirent par provoquer la division du pays en deux régions, séparées par une ligne d’interposition contrôlée par les Forces Licorne françaises. Le processus de paix se prolongea dans le temps, caractérisé par un manque de confiance mutuelle et une immobilité politique. Ces faits ont débouché sur une situation d’impasse et la permanence de Laurent Gbagbo à la présidence du pays. De plus, les différents accords politiques n’aidèrent pas le processus de construction de la paix, puisqu’ils n’abordaient pas certains problèmes principaux du pays, comme par exemple la propriété des terres et les sujets concernant l’identité. Ce document de travail aspire, tout d’abord, à analyser les faits principaux et les causes qui provoquèrent le conflit à partir du coup d’état de 2002. En deuxième lieu, le document analyse le processus de paix et signale les éléments clé de l’Accord de Paix d’Ouagadougou (2007): la création d’une nouvelle et unique structure des forces armées, ainsi que l’identification de la population et la réalisation d’un processus électoral. L’objectif principal est de fournir un outil de travail à l’Institut Catalan International pour la Paix (ICIP) afin d’envoyer une mission d’observation électorale dans ce pays africain.

Justifying Institutional Investment in OER Development : OERs as Marketing Vehicle

The higher education sector has become increasingly competitive and prospective students are adopting a consumerist approach to institution and programme choice. In response, higher education marketing has become more complex, market-oriented and business-like. Financial sustainability of open education resource (OER) projects is a widespread concern. This paper explores the extent to which a classical product placement framework can be applied to OERs to justify institutional funding in OER projects as a marketing investment. It is argued that OERs designed on this premise can increase cognitive, affective and conative brand outcomes while providing the traditional educational and societal benefits associated with OERs. A series of propositions are presented that may form the basis of a future research agenda.

Kuranishi type Moduli Spaces for proper CR submersions fibering over the circle

Kuranishi's fundamental result (1962) associates to any compact complex manifold X&sub&0&/sub& a finite-dimensional analytic space which has to be thought of as a local moduli space of complex structures close to X&sub&0&/sub&. In this paper, we give an analogous statement for Levi-flat CR manifolds fibering properly over the circle by describing explicitely an infinite-dimensional Kuranishi type local moduli space of Levi-flat CR structures. We interpret this result in terms of Kodaira-Spencer deformation theory making clear the likenesses as well as the differences with the classical case. The article ends with applications and examples.

Feuilletages par variétés complexes et problèmes d'uniformisation

Ce texte est une introduction aux feuilletages par variétés complexes et aux problèmes d'uniformisation de tels feuilletages. Nous donnons en introduction une liste fondamentale de questions naturelles sur ces objets ainsi qu'un aperçcu des résultats connus.

Variétés CR polarisées et G-polarisées, partie I

Polarized and G-polarized CR manifolds are smooth manifolds endowed with a double structure: a real foliation &em&F&/em& (given by the action of a Lie group G in the G-polarized case) and a transverse CR distribution. Polarized means that (E,J) is roughly speaking invariant by&em&F&/em&. Both structures are therefore linked up. The interplay between them gives to polarized CR-manifolds a very rich geometry. In this paper, we study the properties of polarized and G-polarized manifolds, putting special emphasis on their deformations.

Concepción de un sitio web de soporte técnico para los proyectos SIDUNEA World de la Conferencia de las Naciones Unidas sobre Comercio y Desarrollo

El presente proyecto consiste en el desarrollo y la implantación en producción de un sitio web de soporte técnico para los proyectos SIDUNEA World de la Conferencia de la Naciones Unidas sobre Comercio y Desarrollo.

FOSS issues in technology transfers from the University to the Industry

FOSS has always been particularly welcome in Universities. Its spirit corresponds generally with the academic state of mind, and royalty-free technologies are particularly appreciated where money is usually lacking.But at the opposite side of the spectrum, the universities¿ TTO¿s (Technology Transfer Officers) are supposed to ¿valorize¿ the production of research departments and to enable profit making cooperations with the industry. How should FOSS licensing be tackled in such context?

The IST METRA Project

This article summarizes the main achievementsof the Multi-Element Transmit andReceive Antennas (METRA) Project, an ISTresearch and technological development project carried out between January 2000 and June 2001 by Universitat Politècnica de Catalunya, the Center for Personkommunikation of Aalborg University, Nokia Networks, Nokia Mobile Phones, and Vodafone Group Research and Development.The main objective of METRA was the performanceevaluation of multi-antenna terminals incombination with adaptive antennas at the basestation in UMTS communication systems. 1 AMIMO channel sounder was developed that providedrealistic multi-antenna channel measurements.Using these measured data, stochasticchannel models were developed and properly validated.These models were also evaluated inorder to estimate their corresponding channelcapacity. Different MIMO configurations andprocessing schemes were developed for both theFDD and TDD modes of UTRA, and their linkperformance was assessed. Performance evaluationwas completed by system simulations thatillustrated the benefits of MIMO configurationsto the network operator. Implementation cost vs.performance improvement was also covered bythe project, including the base station and terminalmanufacturer and network operator viewpoints.Finally, significant standards contributionswere generated by the project and presented to the pertinent 3GPP working groups.

The awr gene family encodes a novel class of Ralstonia solanacearum type III effectors displaying virulence and avirulence activities

We present here the characterization of a new gene family, awr, found in all sequenced Ralstonia solanacearum strains and in other bacterial pathogens. We demonstrate that the five paralogues in strain GMI1000 encode type III-secreted effectors and that deletion of all awr genes severely impairs its capacity to multiply in natural host plants. Complementation studies show that the AWR (alanine-tryptophanarginine tryad) effectors display some functional redundancy, although AWR2 is the major contributor to virulence. In contrast, the strain devoid of all awr genes (¿awr1-5) exhibits enhanced pathogenicity on Arabidopsis plants. A gain-of-function approach expressing AWR in Pseudomonas syringae pv. tomato DC3000 proves that this is likely due to effector recognition, because AWR5 and AWR4 restrict growth of this bacterium in Arabidopsis. Transient overexpression of AWR in nonhost tobacco species caused macroscopic cell death to varying extents, which, in the case of AWR5, shows characteristics of a typical hypersensitive response. Our work demonstrates that AWR, which show no similarity to any protein with known function, can specify either virulence or avirulence in the interaction of R. solanacearum with its plant hosts.