Éditeur(s) : HAL CCSD
Résumé : Prelimary version - 13 pages.
International audience
A new approach to the algebra G_{τ} of temperate nonlinear generalized functions is proposed, in which G_{τ} is based on the space O_{M} endowed with is natural topology in contrary to previous constructions. Thus, this construction fits perfectly in the general scheme of construction of Colombeau type algebras and reveals better properties of G_{τ}. This is illustrated by the natural introduction of a regularity theory in G_{τ}, of the Fourier transform, with the definition of G_{O_{C}′}, the space of rapidly generalized distributions which is the Fourier image of G_{τ}.
Publ. Inst.Math. (Beograd) (N.S.)

hal-00201458
https://hal.archives-ouvertes.fr/hal-00201458
https://hal.archives-ouvertes.fr/hal-00201458/document
https://hal.archives-ouvertes.fr/hal-00201458/file/NewGOMdec29WithAdditions.pdf
ARXIV : 0801.0074

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
We propose a new geometric approach to describe the qualitative dynamics of chemical reactions networks. By this method we identify metastable regimes, defined as low dimensional regions of the phase space close to which the dynamics is much slower compared to the rest of the phase space. These metastable regimes depend on the network topology and on the orders of magnitude of the kinetic parameters. Benchmarking of the method on a computational biology model repository suggests that the number of metastable regimes is sub-exponential in the number of variables and equations. The dynamics of the network can be described as a sequence of jumps from one metastable regime to another. We show that a geometrically computed con-nectivity graph restricts the set of possible jumps. We also provide finite state machine (Markov chain) models for such dynamic changes. Applied to signal transduction models, our approach unravels dynamical and functional * corresponding author capacities of signalling pathways, as well as parameters responsible for speci-ficity of the pathway response. In particular, for a model of TGFβ signalling, we find that the ratio of TGFBR2 to TGFBR1 receptors concentrations can be used to discriminate between metastable regimes. Using expression data from the NCI60 panel of human tumor cell lines, we show that aggressive and non-aggressive tumour cell lines function in different metastable regimes and can be distinguished by measuring the relative concentrations of receptors of the two types.
ISSN: 0303-2647

hal-01379033
https://hal.inria.fr/hal-01379033
https://hal.inria.fr/hal-01379033/document
https://hal.inria.fr/hal-01379033/file/Samal_et_al_Biosystems_final.pdf
DOI : 10.1016/j.biosystems.2016.07.004

Éditeur(s) : HAL CCSD Springer Verlag
Résumé : 44 pages, 14 figures
International audience
With any non necessarily orientable unpunctured marked surface (S,M) we associate a commutative algebra, called quasi-cluster algebra, equipped with a distinguished set of generators, called quasi-cluster variables, in bijection with the set of arcs and one-sided simple closed curves in (S,M). Quasi-cluster variables are naturally gathered into possibly overlapping sets of fixed cardinality, called quasi-clusters, corresponding to maximal non-intersecting families of arcs and one-sided simple closed curves in (S,M). If the surface S is orientable, then the quasi-cluster algebra is the cluster algebra associated with the marked surface (S,M) in the sense of Fomin, Shapiro and Thurston. We classify quasi-cluster algebras with finitely many quasi-cluster variables and prove that for these quasi-cluster algebras, quasi-cluster monomials form a linear basis. Finally, we attach to (S,M) a family of discrete integrable systems satisfied by quasi-cluster variables associated to arcs in the quasi-cluster algebra and we prove that solutions of these systems can be expressed in terms of cluster variables of type A.
ISSN: 0925-9899

hal-00821878
https://hal.archives-ouvertes.fr/hal-00821878
ARXIV : 1105.1560
DOI : 10.1007/s10801-015-0586-1

Éditeur(s) : HAL CCSD
Résumé : This thesis has been conducted on a fractured crystalline basement located in Ploemeur (South of Brittany, France). The detailed study of this basement requires a good understanding of their internal structures, namely their intrinsic properties, flow mode, density and fractures distribution. This work is focused on the petrophysical characterization of the granitic formations. Physical properties were determined from downhole geophysical measurements and images, and petrophysical measurements with thin sections made for each mini-core in the laboratory. Fresh-altered schist and fresh-altered granite separated by a normal angle fault are the main lithology of the Ploemeur crystalline basement. The results showed that the petrophysical properties were function of both porosity variation and degree of alteration and that the pore-space topology was found to be porositydependent. This thesis introduces a new formula between electrical resistivity and porosity. In addition, the laboratory measurements of Ploemeur revealed that seismic wave velocity was a function not only of porosity, but also of the predominant pore type. In general, the pore aspect ratio inverted from velocity measurements were classified roughly into crack shape. In the Ploemeur crystalline basement, the downhole geophysical measurements and images were used to measure changes in physical and chemical properties in the borehole fluid and the bedrock surrounding the boreholes. The effective integration of different geophysical methods, hydrogeological tests and lithological description was the best way to characterize the fractures in the crystalline basement, and is critical for a suitable estimation of fluid circulation.
Le socle cristallin fracturé, situé à Ploemeur (Bretagne sud, France) est l'objet de ce travail de thèse. L'étude détaillée du socle nécessite une bonne compréhension de la structure interne, à savoir les propriétés intrinsèques, le mode d'écoulement, la densité et la distribution des fractures. Ce travail de thèse est consacré à la caractérisation pétrophysique des formations granitiques. Les propriétés physiques ont été déterminées à partir de l'interprétation des données de mesures de géophysique en forage, des images de paroi du puits et des mesures pétrophysiques réalisées sur carottes en laboratoire. Afin de replacer les mesures dans leur contexte lithologique, une lame mince a été analysée pour chaque mini-carotte. Les formations lithologiques rencontrées dans le socle cristallin de Ploemeur sont des schistes et granites sains et altérés, ces deux lithologies étant séparées par une zone de faille. Les résultats ont montré que les propriétés pétrophysiques des roches étaient fonction à la fois de la variation de la porosité et du degré d'altération des roches et que la topologie de l'espace poreux était fortement dépendante de la porosité. Cette thèse introduit une nouvelle formule entre la résistivité électrique et la porosité. De plus, les mesures en laboratoire sur les échantillons de Ploemeur révèlent que les vitesses sismiques ne sont pas seulement fonction de la quantité de porosité, mais aussi fonction de facteur de forme. Ce dernier a été calculé sur les échantillons du socle de Ploemeur à partir des vitesses acoustiques. Les résultats ont montré que la porosité est de forme fissurale. L'intégration des données issues des images optiques et acoustiques, des mesures de géophysique en forage, et de la description des carottes a permis d'étudier de façon détaillée la géologie et l'hydrodynamique du socle de Ploemeur. L'intégration effective de ces différentes méthodes avec les tests hydrogéologiques ressort comme la meilleure façon de caractériser les fractures et les circulations en eau dans le socle.
https://tel.archives-ouvertes.fr/tel-00444175

Droits : info:eu-repo/semantics/OpenAccess
tel-00444175
https://tel.archives-ouvertes.fr/tel-00444175
https://tel.archives-ouvertes.fr/tel-00444175/document
https://tel.archives-ouvertes.fr/tel-00444175/file/thesebelghoul.pdf

Éditeur(s) : HAL CCSD
Résumé : To appear in TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS (16 pages).
In the last two decades, many algebras of generalized functions have been constructed, particularly the so-called generalized Sobolev algebras. Our goal is to study the latter and some of their main properties. In this framework, we pose and solve a nonlinear degenerated Dirichlet problem with irregular data such as Dirac generalized functions.
https://hal.archives-ouvertes.fr/hal-00004903

Droits : info:eu-repo/semantics/OpenAccess
hal-00004903
https://hal.archives-ouvertes.fr/hal-00004903
https://hal.archives-ouvertes.fr/hal-00004903/document
https://hal.archives-ouvertes.fr/hal-00004903/file/sb_psn_pjm.pdf
ARXIV : math.GM/0505228

Résumé : Les réseaux de capteurs constituent un axe de recherche très fertile ces dernières années. Cette technique se développe dans différents domaines comme l'environnement, l'industrie, le commerce, la médecine, l'armée, etc. Les réseaux de capteurs sont difficiles à concevoir parce qu'ils sont fortement contraints en énergie et que tous les éléments ont potentiellement une influence sur la durée de vie du système. Nous proposons un outil permettant l'aide au bon paramétrage et aux choix de paramètres optimaux pour la stabilité des applications.Dans cette thèse, nous nous sommes intéressés à deux problématiques : une classification des paramètres pour un outil d'aide à la décision pour la configuration d'un réseau de capteurs et la seconde, un outil de test de conformité du système dans un environnement réel. Le document est divisé en deux parties où la première partie est un état de l'art de différents protocoles existants et la deuxième partie décrit notre contribution dans ces deux problématiques.Dans la première contribution, nous avons analysé l'impact de la couverture radio puis de la topologie sur les performances d'un réseau de capteurs. Nous étudions le taux de perte et le niveau d'énergie pour en déduire la stabilité d'une application. Puis nous avons proposé une étude menant à une classification pour notre outil d'aide à la décision. Notre classification est basée sur une étude de divers paramètres de la couche MAC, physique, protocole de routage, nombre de nœuds et type d'application.Dans la deuxième contribution, nous nous sommes focalisés sur une approche pragmatique permettant de tester la conformité d'un réseau de capteurs dans un environnement réel. Pour tester la conformité dans un environnement réel, nous proposons une architecture d'exécution de test sur un réseau de capteurs réel. Ceci dans un but d'assurer un niveau correct de conformité et la stabilité de celui-ci durant son fonctionnement.
Wireless sensor networks is one of the hotest research topic in the last few years. This technology can be applied for different fields such as environment, industry, trading, medicine, military etc. Wireless sensor networks are hard to conceive because they require a lot of energy and because each of its component may have an influence on the lifetime of the whole system. What we suggest is a tool allowing to choose the correct and optimal parameters for the reliability of the applications.In this thesis, we focused on two major problems : firstly, a classification of the parameters for a tool allowing to make decisions about the configuration of a wireless sensors network, and secondly, a tool testing the compliance of the system with a real environment. The document is divided into two parts : the first part states the different protocols that exist, and the second part describes our contributions to those topics.In the first contribution, we analyzed how influential the radio cover and the network topology are on the network performances. Then, we deduced from the study of the loss rate and of the level of energy, the reliability of the application. Next, we suggested a study leading to a classification for our decision making tool. For this classification, we studied various parameters related to the MAC layer, the Physical layer, the network layer, the application layer the number of nodes involved in the network.In the second contribution, we adopted a pragmatic approach so we could test the conformity of a wireless sensors network in a real environment. In order to test its conformity in a real environment, we suggested a structured test execution on a real wireless sensor network. This task has been suggested in order to check the conformance level of the network while it was working.

http://www.theses.fr/2012AGUY0586/document

Éditeur(s) : HAL CCSD
Résumé : National audience
We propose a method to solve the problem of clustering individuals described by mixed variables structured in blocks. It is a hierarchical method with two levels similar to Hierarchical Principal Component Analysis presented by Wold, based on the mixed topology maps (MTM). The first step consists in establishing, for each block of mixed variables, a clustering representing a synthesis of local individuals at the block level. The second step is to re-apply MTM on the weighted results of the first level. We obtain a global clustering of individuals, consensus among the partitions from level 1. The proposed method is illustrated on data from the national survey in the French housing stock carried out in 2003-2005 by the Observatory for Indoor Air Quality (OQAI).
Fouille de Données Complexes, complexité liée aux données multiples et massives (FDC)
bordeaux, France

hal-00748841
https://hal.archives-ouvertes.fr/hal-00748841
https://hal.archives-ouvertes.fr/hal-00748841/document

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
A multifunction Γ is called a Kakutani multifunction if there exist two nonempty convex sets X and Y , each in a Hausdorff topological vector space, such that Γ : X → Y is upper semi-continuous with nonempty compact convex values. We prove the following extension of the Kakutani fixed point theorem : Let Γ : X → X be a multi-function from a simplex X into itself ; if Γ can be factorized by an arbitrary finite number of Kakutani multifunctions, then Γ has a fixed point. The proof relies on a simplicial approximation technique and the Brouwer fixed point theorem. Extensions to infinite-dimensional spaces and applications to game theory are given.
Journal of Mathematical Analysis and applications

hal-00699225
https://hal.archives-ouvertes.fr/hal-00699225

Éditeur(s) : HAL CCSD
Résumé : International audience
The paper proposes a new knowledge discovery method called MAX-FLMin for extracting frequent patterns in social networks. Unlike traditional approaches that mainly focus on the network topological structure, the originality of our solution is its ability to exploit information both on the network structure and the attributes of nodes in order to elicit specific regularities that we call "Frequent Links". This kind of patterns provides relevant knowledge about the groups of nodes most connected within the network. First, we detail the method proposed to extract maximal frequent links from social networks. Second, we show how the extracted patterns are used to generate aggregated networks that represent the initial social network with more semantics. Qualitative and quantitative studies are conducted to evaluate the performances of our algorithm in various configurations.
Database (Weston, Conn.) and Expert Systems Applications
Vienna, Austria

hal-00767052
https://hal.archives-ouvertes.fr/hal-00767052
DOI : 10.1007/978-3-642-32600-4_35

Éditeur(s) : HAL CCSD Springer
Résumé : International audience
The study of information dissemination in social networks is of particular importance in many areas as marketing, politics and security for example. Various strategies are being developed to disseminate information, those aimed at disseminating information widely and those aimed at disseminating information in a more confidential manner to make it scarce. In this paper, we adapt a model dedicated to spreading rumours by word of mouth in a physical space to the context of social networks. We compare two modes of dissemination based on profusion or scarcity and study the impact of the choice of the initial node. The results obtained show to what extent each mode exploits the social network topology and especially the influence of hubs.
International Conference on Complex Networks and Their Applications (COMPLEX NETWORK)
Lyon, France

hal-01637573
https://hal.archives-ouvertes.fr/hal-01637573

Éditeur(s) : HAL CCSD Royal Society, The
Résumé : International audience
Individuals can play different roles in maintaining connectivity and socialcohesion in animal populations and thereby influence population robustnessto perturbations.We performed a social network analysis in a reef shark populationto assess the vulnerability of the global network to node removal underdifferent scenarios. We found that the network was generally robust to theremoval of nodes with high centrality. The network appeared also highlyrobust to experimental fishing. Individual shark catchability decreased as afunction of experience, as revealed by comparing capture frequency and sitepresence. Altogether, these features suggest that individuals learnt to avoidcapture, which ultimately increased network robustness to experimentalcatch-and-release. Our results also suggest that some caution must be takenwhen using capture–recapture models often used to assess population sizeas assumptions (such as equal probabilities of capture and recapture) maybe violated by individual learning to escape recapture.
EISSN: 1471-2954

hal-01561754
https://hal-univ-perp.archives-ouvertes.fr/hal-01561754
DOI : 10.1098/rsbl.2016.0824

Éditeur(s) : HAL CCSD American Institute of Physics
Résumé : International audience
Laser-induced periodic surface structures (LIPSS) were formed on Cu/Si or Cu/glass thin films using Nd:YAG laser beam (40 ps, 10Hz, and 30mJ/cm2). The study of ablation threshold is always achieved over melting when the variation of the number of pulses increases from 1 to 1000. But the incubation effect is leading to reduce the threshold of melting as increasing the number of laser pulse. Also, real time reflectivity signals exhibit typical behavior to stress the formation of a liquid phase during the laser-processing regime and helps to determine the threshold of soft ablation.Atomic Force Microscopy (AFM) analyses have shown the topology of the micro-crater containing regular spikes with different height. Transmission Electron Microscopy (TEM) allows finally to show three distinguished zones in the close region of isolated protrusions. The central zone is a typical crystallized area of few nanometers surrounded by a mixed poly-crystalline and amorphous area. Finally, in the region far from the protrusion zone, Cu film shows an amorphous structure. The real time reflectivity, AFM, and HR-TEM analyses evidence the formation of a liquid phaseduring the LIPSS formation in the picosecond regime. VC 2015 AIP Publishing LLC
ISSN: 0003-6951

hal-01226065
https://hal.archives-ouvertes.fr/hal-01226065
DOI : 10.1063/1.4935413

Éditeur(s) : HAL CCSD
Résumé : International audience
In the network modeling area, the most widely used definition of a "pattern" is that of a subgraph, a notion that considers only the network topological structure. While this definition has been very useful for extracting subgraphs frequently found in a network or a set of networks, it does not take into account the node attributes, an intrinsic component of social networks that often provides relevant information on the role or the position of a node in a network. In this paper, we propose a novel approach for extracting frequent patterns in social networks, called frequent link mining, based on the search for particular patterns that combine information on both network structure and node attributes. This kind of patterns, that we call frequent links, provides knowledge on the groups of nodes connected in the social network. In this article, we detail the method proposed for extracting frequent links and discuss its flexibility and its complexity. We demonstrate the efficiency of our solution by carrying out qualitative and quantitative studies.
Advances in Database (Weston, Conn.)s and Information Systems
Poznań, Poland

hal-00767050
https://hal.archives-ouvertes.fr/hal-00767050
DOI : 10.1007/978-3-642-33074-2_28

Éditeur(s) : HAL CCSD Elsevier
Résumé : International audience
Rh (Rhesus) is a major blood group system in man, which is clinically significant in transfusion medicine. Rh antigens are carried by an oligomer of two major erythroid specific polypeptides, the Rh (D and CcEe) proteins and the RhAG glycoprotein, that shared a common predicted structure with 12 transmembrane a-helices (M0 to M11). Non erythroid homologues of these proteins have been identified (RhBG and RhCG), notably in diverse organs specialized in ammonia production and excretion, such as kidney, liver and intestine. Phylogenetic studies and experimental evidence have shown that these proteins belong to the Amt/Mep/Rh protein superfamily of ammonium/methylammonium permease, but another view suggests that Rh proteins might function as CO2 gas channels. Until recently no information on the structure of these proteins were available. However, in the last two years, new insight has been gained into the structural features of Rh proteins (through the determination of the crystal structures of bacterial AmtB and archeaebacterial Amt-1. Here, models of the subunit and oligomeric architecture of human Rh proteins are proposed, based on a refined alignment with and crystal structure of the bacterial ammonia transporter AmtB, a member of the Amt/Mep/Rh superfamily. This alignment was performed considering invariant structural features, which were revealed through Hydrophobic Cluster Analysis, and led to propose alternative predictions for the less conserved regions, particularly in the N-terminal sequences. The Rh models, on which an additional Rh-specific, N-terminal helix M0 was tentatively positioned, were further assessed through the consideration of biochemical and immunochemical data, as well as of stereochemical and topological constraints. These models highlighted some Rh specific features that have not yet been reported. Among these, are the prediction of some critical residues, which may play a role in the channel function, but also in the stability of the subunit structure and oligomeric assembly. These results provide a basis to further understand the structure/function relationships of Rh proteins, and the alterations occurring in variant phenotypes.
ISSN: 1246-7820

hal-00112914
https://hal.archives-ouvertes.fr/hal-00112914
DOI : 10.1016/j.tracli.2006.02.001

Éditeur(s) : HAL CCSD Taylor & Francis
Résumé : International audience
We review our recent formulation of Colombeau-type algebras as Hausdorff sequence spaces with ultranorms, defined by sequences of exponential weights. We extend previous results and give new perspectives related to echelon-type spaces, possible generalizations, asymptotic algebras, concepts of association, and applications thereof.
ISSN: 1065-2469

hal-00758570
https://hal.univ-antilles.fr/hal-00758570
https://hal.univ-antilles.fr/hal-00758570/document
https://hal.univ-antilles.fr/hal-00758570/file/0705.2739v1.pdf
DOI : 10.1080/10652460500437807

Éditeur(s) : HAL CCSD
Résumé : International audience
Rencontres européennes d'Analyse Non Standard
Luminy - Marseille, France

hal-01535424
https://hal.univ-antilles.fr/hal-01535424

Éditeur(s) : HAL CCSD Presses Universitaires de Perpignan
Résumé : International audience
Dans cet ouvrage on développe la notion de topologie et on étudie divers types d’espaces topologiques tels que les espaces connexes, séparés et compacts avec toutes leurs extensions. La notion de métrique et celle d'espace métrique, résultant directement des propriétés de la distance usuelle, sont également développées. Par ailleurs la donnée d'une norme sur un espace vectoriel permet de faire de l'analyse tout en privilégiant les opérations linéaires ; c’est pourquoi on s’intéresse aux espaces vectoriels normés. Enfin la théorie des espaces de Hilbert qui trouve son origine dans celle des développements des fonctions en séries de fonctions orthogonales, lesquelles apparaissent le plus souvent comme fonctions propres d'opérateurs différentiels linéaires, est abordée dans un dernier chapitre.
https://hal.archives-ouvertes.fr/hal-01267268

ISBN : 9782354120078
hal-01267268
https://hal.archives-ouvertes.fr/hal-01267268
https://hal.archives-ouvertes.fr/hal-01267268/document
https://hal.archives-ouvertes.fr/hal-01267268/file/elements_topologie_el_jai.pdf