196,679 research outputs found

    Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition

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    In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary and edge differential operators. The example of the Bruhat sphere is studied in detail. In particular, we construct an extension to the calculus of uniformly supported pseudo-differential operators that is analogous to the calculus with bounds defined on manifolds with boundary. We derive a Fredholmness criterion for operators on the Bruhat sphere, and prove that their parametrices up to compact operators lie inside the extended calculus; we construct the heat kernel of perturbed Laplacian operators; and prove an Atiyah-Singer type renormalized index formula for perturbed Dirac operators on the Bruhat sphere using the heat kernel method

    Studiu privind posibilitatea implementarii balance scorecard-ului in universitati

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    Balanced Scorecard is a new control tool in public entities, especially in universities. The aim of this paper is to analyze the possibility of implementation in Romanian universities. At an international level, this concept was used at the beginning by the private sector, followed by its usage by the public sector as well. In universities of the Anglo – Saxon states, there have been debates on the subject for a long period of time in relation to the opportunity of introducing this concept; these debates have been supported by pro and against arguments. At a national level, this concept is virtually unknown in the higher education state institution system. Through the present paper, we would like to test the opportunity of introducing the concept starting from the identification at a global level of the conditions and regulations specific to the Balanced Scorecard (BSC) concept. Our results will present the first overview of this new subject, which is not yet developed in Romania.Balanced Scorecard Concept, Public University, Managerial Accounting

    Preventive measures for rainfall-induced slope failures in Singapore

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    Climatic changes result in dynamic flux boundary conditions across slope surfaces, such as infiltration and evaporation. As a result, stability of a slope as quantified by factor of safety (FoS) is not constant over time, but it varies in accordance with variation in flux boundary conditions. In other words, slopes are infrastructures whose stability is highly dependent on the environment and whose failure has detrimental impacts on environment and public safety. Therefore proper analysis and selection of preventive measure for residual soil slopes in Singapore is imperative, especially in anticipation of global climatic changes which will have an impact on the stability of many residual soil slopes in Singapore. This chapter focuses on the numerical analyses of residual soil slopes incorporating unsaturated soil mechanics and extreme rainfall conditions in Singapore. Typical unsaturated soil properties for high and low permeability of soils in Singapore were used in the analyses. The adaptation measures using vegetative cover and capillary barrier system are recommended to achieve a minimum FoS of 1.5 for residual soil slopes in Singapore

    Dr. Duane M. Jackson, Morehouse College, July 2011

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    This video is a conversation with Dr. Duane M. Jackson. Dr. Jackson talks about his paper, "Recall and the Serial Position Effect: The Role of Primacy and Recency on Accounting Students' Performance." Jackie Daniel, AUC Woodruff Library, is the interviewer

    Analysis on singular spaces and index theory

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    Le contexte général de cette thèse est celui de l'extension de la théorie des opérateurs elliptiques, bien connue dans le cadre lisse, à des domaines dits singuliers. Les méthodes utilisées reposent d'une part sur l'emploi d'algèbres d'opérateurs et d'outils issus de la géométrie non commutative, d'autre part sur l'introduction de calculs pseudodifférentiels adaptés à la géométrie du domaine, souvent via un groupoïde qui résout les singularités. La première partie de la thèse s'intéresse à l'étude d'une classe particulière de ces groupoïdes, dits Fredholm, qui donnent un cadre très favorable à l'analyse des opérateurs elliptiques. Un des résultats majeurs obtenu est que cette propriété de Fredholm est locale, au sens où elle ne dépend que des restrictions du groupoïde à un nombre suffisant d'ouverts. Dans le même esprit, nous considérons avec C. Carvalho et Y. Qiao des groupoïdes obtenus comme recollements d'actions de groupes, et étudions en particulier un groupoïde adapté à l'étude des opérateurs potentiels de couche. Je conclus cette partie avec la résolution d'un problème aux limites pour un domaine à singularité de type cusp rotationnel. La seconde partie s'intéresse aux opérateurs équivariants sur des variétés compactes, sous l'action d'un groupe fini. On répond à la question suivante : étant donnée une représentation irréductible du groupe, à quelle condition un opérateur différentiel est-il Fredholm entre les composantes isotypiques correspondantes des espaces de Sobolev ? Dans un travail commun avec A. Baldare, M. Lesch et V. Nistor, nous définissons une notion correspondante d'ellipticité associée à une représentation irréductible fixée et montrons qu'elle caractérise les opérateurs de Fredholm.This thesis is set in the general context of extending the theory of elliptic operators, well-understood in the smooth setting, to so-called singular domains. The methods used rely on operator algebras and tools coming from non commutative geometry, together with suitable pseudodifferential calculi that are often built from a groupoid adapted to the particular geometry of the problem. The first part of the thesis deals with the general investigation of a particular class of such groupoids, called Fredholm, that provide a very good setting for the study of elliptic operators. One of the major results proved here is that this Fredholm property is local, in the sense that it only depends on the restrictions of the groupoid to sufficiently many open subsets. In the same spirit, we study with C. Carvalho and Y. Qiao groupoids whose local structure is given by gluing group actions, and consider in particular a groupoid suited to the study of layer potential operators. This part concludes with a well-posedness result for a boundary value problem on a domain with a rotational cusp. The second part deals with equivariant operators on a compact manifold, acted upon by a finite group. We answer the following question: given an irreducible representation of the group, under which condition is a differential operator Fredholm between the corresponding isotypical components of the Sobolev spaces? In a joint work with A. Baldare, M. Lesch and V. Nistor, we introduce a corresponding notion of ellipticity associated with some fixed irreducible representation, and show that it characterizes Fredholm operators

    Preliminary water flow monitoring of a vertical fractures system in a sandstone rock mass

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    Fractured sandstone by tectonic and gravity actions could be classified as aquitard or aquifer according to the number and aperture of the fractures inside the rock mass. This kind of rock mass outcrops not frequently and sparsely in the Apennine and Alps chains. In the Emilian Apennines, which is mainly composed by sedimentary rocks (rich in clay), this type of rock is part of the Epiligurian Succession that outcrops for a 20% of the chain. The aim of the paper is to highlight the first results of the semi-continuous water flow monitoring (discharge, electrical conductivity and temperature) of the spring that represents the drainage point of a vertical fractures system. This network joint characterizes the vertical scarp of a sandstone slab with thickness of 100 meters. The results shows that the spring flow rate, the water electrical conductivity and temperature are influenced by the rainfall distribution pattern. Consequently every rainfall event the spring discharge and water electrical conductivity increase, while the water temperature decreases. The new infiltrate water reacts the spring with a delay of 10-60 hours. The discharge variability index is around 270%. The fractured system is characterized by replacement effect of the preexistent groundwater. During the infiltration event, dissolution phenomena are observed along the wall of the fractures. A preliminary groundwater budget calculation highlights that only a potential infiltration coefficient higher that 75% is admitted to justify the total annual volume discharge from the fractures

    Polynomial estimates for solutions of parametric elliptic equations on complete manifolds

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    International audienceLet P : C^∞ (M ; E) → C^∞ (M ; F) be an order µ differential operator with coefficients a and P_k := P : H^{s_0 +k+µ} (M ; E) → H^{s_0 +k} (M ; F). We prove polynomial norm estimates for the solution P^{−1}_0 f of the form (thus in higher order Sobolev spaces, which amounts also to a parametric regularity result). The assumptions are that E,FME, F \to M are Hermitian vector bundles and that MM is a complete manifold satisfying the Fr\'echet Finiteness Condition (FFC), which was introduced in (Kohr and Nistor, Annals of Global Analysis and Geometry, 2022). These estimates are useful for uncertainty quantification, since the coefficient aa can be regarded as a vector valued random variable. We use these results to prove integrability of the norm Pk1f\|P_k^{-1}f\| of the solution of Pku=fP_k u = f with respect to suitable Gaussian measures

    "Reflections on the subject of Emigration from Europe with a view to Settlement in the United States" By M. Carey.

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    "Reflections on the subject of Emigration from Europe with a view to Settlement in the United States: containing bried sketches of the moral and political character of those states. By M. Carey, member of the American philosophical, and of the American Antiquarian Society, and author of The Olive Branch, Cindiciae Hibernicae, essays on banking, on political economy, and on internal improvement. To which are now added the English editor's comments on the subject; together with Important Advice to Emigrants, and Cautions Against Impositions Practiced in the Outports

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods
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