Dirac and reduced quantization: A Lagrangian approach and Application to Coset Spaces

A Lagrangian treatment of the quantization of first class Hamiltonian systems with constraints and Hamiltonian linear and quadratic in the momenta, respectively, is performed. The first reduce and then quantize and the first quantize and then reduce (Diracs) methods are compared. A source of ambiguities in this latter approach is pointed out and its relevance on issues concerning self-consistency and equivalence with the first reduce method is emphasized. One of the main results is the relation between the propagator obtained la Dirac and the propagator in the full space. As an application of the formalism developed, quantization on coset spaces of compact Lie groups is presented. In this case it is shown that a natural selection of a Dirac quantization allows for full self-consistency and equivalence. Finally, the specific case of the propagator on a two-dimensional sphere S2 viewed as the coset space SU(2)/U(1) is worked out. 1995 American Institute of Physics.

Développement durable et urbanisme de projet : une nouvelle configuration de l'action publique

La notion de développement durable structure le débat contemporain sur les finalités et les instruments des politiques publiques. La montée en puissance des préoccupations environnementales et de qualité des cadres de vie déplace les enjeux traditionnels de l'aménagement. Cette refonte s'inscrit dans une prise de conscience de la transversalité des problèmes de développement territorial. Une attention accrue est aussi portée aux acteurs et à leur participation invitant à repenser les articulations entre les élus, l'administration et la société civile. L'aménagement du territoire est à un tournant. La complexité accrue du champ décisionnel liée à la multiplicité des objectifs à prendre en compte, à la diversification des acteurs concernés, mais aussi à l'interférence des échelles de gouvernance bouscule les pratiques professionnelles. Cette note vise à montrer les principaux changements observés au cours des dernières années. Elle met l'accent sur la redéfinition des objectifs et des instruments d'aménagement et l'émergence des nouvelles pratiques de conduite de projets.

Action publique concertée et gestion des sports de nature : une ethnographie participative au Conseil général du Bas-Rhin

En France, la décentralisation et la territorialisation de l'action publique ont fait des sports de nature un objet d'action publique légitime en donnant naissance à de nouveaux outils de management public dédiés à la concertation et à la planification des usages de la nature. Nés de l'article 52 de la Loi sur le sport modifiée en 2000, la Commission Départementale des Espaces, Sites et Itinéraires relatifs aux sports de nature (CDESI) et le Plan Départemental des Espaces Sites et Itinéraires relatifs aux sports de nature (PDESI) sont des outils de concertation territoriale dédiés à la gestion publique des sports de nature au niveau départemental. Un enjeu de ce travail tient à l'appréhension des transformations de l'action publique en s'attachant à l'étude des dispositifs de concertation sur les sports de nature. Un deuxième enjeu de ce travail s'attache à mettre en évidence les effets de la concertation en analysant les interactions et les différents modes d'engagements des acteurs au cours de la « chose publique en train de se faire » (Cefaï, 2002). Les acteurs s'engagent non seulement dans la concertation comprise comme une activité sociale faite d'interactions, mais ils s'engagent également dans la concertation en tant que processus d'action publique. Aussi, un autre enjeu de ce travail est d'appréhender les effets de la concertation par une analyse processuelle des engagements (Fillieule, 2004) des acteurs et des organisations. En mobilisant les outils conceptuels de la sociologie interactionniste, de la sociologie pragmatique, ainsi que de la sociologie structuraliste, l'analyse des situations interactionnelles a notamment permis d'identifier les procédures de cadrage et les techniques dramaturgiques mises en oeuvre par les interactants, ainsi que les répertoires argumentatifs mobilisés par ces acteurs pendant l « 'épreuve » de la concertation. Les confrontations des points de vue et les justifications des prises de positions des acteurs peuvent faire évoluer la configuration initiale des jeux d'acteurs même si, pour certains, ces changements ne restent parfois qu'éphémères. Les organisations s'engagent dans la concertation en fonction de la revendication d'une légitimité qui est à comprendre comme une forme militantisme institutionnel s'articulant autour de la valorisation d'une expertise militante, environnementale, institutionnelle, ou encore de leur statut de partenaire institutionnel. In France, decentralization and territorialization of public action have made outdoor sports become an object of public policies justifiable by giving birth to new tools of public management dedicated to the public consultation, the dialogue, and the planning of the uses of the landscapes. Indeed, born of article 52 of the Law on sport modified in 2000, the Departmental committee for Spaces, Sites and Routes relative to natural sports ( CDESI) and the Departmental Plan of Spaces Sites and Routes relative to natural sports ( PDESI) are governance tools dedicated to the public management of outdoor sports for counties. A challenge of this work is to understand the changes of public policy by focusing on the study of mechanisms for consultation on outdoor sports. A second item of this work is to highlight the effects of cooperation by focusing on the analysis of interactions and actor's commitments during the "public thing in the making" (Cefaï, 2002). Actors commit themselves not only in the dialogue included as a social activity made by interactions, but they also take part to the dialogue included as a process of public action. Also, another issue of this work is to understand the effects of consultation by a processual approach of individual commitments (Fillieule, 2004) of actors and organizations. Using the conceptual tools of symbolic interactionism, pragmatic sociology, and structuralist sociology, the analysis of interactional situations has highlighted the framing work and procedures implemented by the interactants, as well as the dramaturgical techniques and argumentative directories which, they mobilize during the "test" of the consultation. Confrontation of viewpoints and justifications of interactants' positions can evolve from their initial configuration sets, even if for some of them these changes are sometimes ephemeral. Organizations involve themselves according to demands of legitimacy which, are to understand as a shape institutional militancy articulating around the valuation of a militant, environmental, institutional expertise, or still around their status of institutional partner.

La (re)configuration des genres dans les littératures européennes. L'exemple des contes

Dieser Beitrag geht davon aus, dass eine neue Gattung in anderen europäischen Sprachen und Kulturen bereits vorhandene Gattungsformen ,"(re)konfiguriert", um sie der eigenen Sprache und Kultur anzupassen und neue Aussageformen zu schaffen. Dieser Prozess wird am Beispiel der europäischen Märchen aufgezeigt, die der hier formulierten Hypothese nach weder Erzeugnisse einer Universalgattung noch nationaler Folklore sind, sondern komplexe ,"Rekonfigurationen" lateinischer, italienischen und französischer Gattungsformen. Am Beispiel der Histoires ou contes du temps passé, avec des Moralités von 1697 wird gezeigt, wie Charles Perrault mit einer neuartigen ,"Szenographie" das zum Gattungsparadigma gewordene Psyche-Märchen von Apuleius ,"rekonfiguiert". An die Stelle des erzählenden Esels Lucius, der vorgibt, Psyches Geschichte von der alten Magd einer Räuberbande gehört zu haben, setzt Perrault seinen Sohn, Pierre Darmancour, und schafft mit einer pseudo-naiven Szenographie eine neue Gattung, die von den Brüdern Grimm und deren ,"Beiträgerinnen" hugenottischer Herkunft zum Kinder- und Hausmärchen umgearbeitet wird.

Quantum metric spaces as a model for pregeometry

A new arena for the dynamics of spacetime is proposed, in which the basic quantum variable is the two-point distance on a metric space. The scaling dimension (that is, the Kolmogorov capacity) in the neighborhood of each point then defines in a natural way a local concept of dimension. We study our model in the region of parameter space in which the resulting spacetime is not too different from a smooth manifold.

Self-similarity of complex networks and hidden metric spaces

We demonstrate that the self-similarity of some scale-free networks with respect to a simple degree-thresholding renormalization scheme finds a natural interpretation in the assumption that network nodes exist in hidden metric spaces. Clustering, i.e., cycles of length three, plays a crucial role in this framework as a topological reflection of the triangle inequality in the hidden geometry. We prove that a class of hidden variable models with underlying metric spaces are able to accurately reproduce the self-similarity properties that we measured in the real networks. Our findings indicate that hidden geometries underlying these real networks are a plausible explanation for their observed topologies and, in particular, for their self-similarity with respect to the degree-based renormalization.

EFFECTS OF COMPACTION DUE TO MACHINERY TRAFFIC ON SOIL PORE CONFIGURATION

Soil compaction has been recognized as a severe problem in mechanized agriculture and has an influence on many soil properties and processes. Yet, there are few studies on the long-term effects of soil compaction, and the development of soil compaction has been shown through a limited number of soil parameters. The objectives of this study were to evaluate the persistence of soil compaction effects (three traffic treatments: T0, without traffic; T3, three tractor passes; and T5, five tractor passes) on pore system configuration, through static and dynamic determinations; and to determine changes in soil pore orientation due to soil compaction through measurement of hydraulic conductivity of saturated soil in samples taken vertically and horizontally. Traffic led to persistent changes in all the dynamic indicators studied (saturated hydraulic conductivity, K0; effective macro- and mesoporosity, εma and εme), with significantly lower values of K0, εma, and εme in the T5 treatment. The static indicators of bulk density (BD), derived total porosity (TP), and total macroporosity (θma) did not vary significantly among the treatments. This means that machine traffic did not produce persistent changes on these variables after two years. However, the orientation of the soil pore system was modified by traffic. Even in T0, there were greater changes in K0 measured in the samples taken vertically than horizontally, which was more related to the presence of vertical biopores, and to isotropy of K0 in the treatments with machine traffic. Overall, the results showed that dynamic indicators are more sensitive to the effects of compaction and that, in the future, static indicators should not be used as compaction indicators without being complemented by dynamic indicators.

Determinacy and Weakly Ramsey sets in Banach spaces

We give a sufficient condition for a set of block subspaces in an infinite-dimensional Banach space to be weakly Ramsey. Using this condition we prove that in the Levy-collapse of a Mahlo cardinal, every projective set is weakly Ramsey. This, together with a construction of W. H. Woodin, is used to show that the Axiom of Projective Determinacy implies that every projective set is weakly Ramsey. In the case of co we prove similar results for a stronger Ramsey property. And for hereditarily indecomposable spaces we show that the Axiom of Determinacy plus the Axiom of Dependent Choices imply that every set is weakly Ramsey. These results are the generalizations to the class of projective sets of some theorems from W. T. Gowers, and our paper "Weakly Ramsey sets in Banach spaces."

Best approach regions for potential spaces

We characterize the approach regions so that the non-tangential maximal function is of weak-type on potential spaces, for which we use a simple argument involving Carleson measure estimates.

Real interpolation for families of Banach spaces (II)

In this paper, we study the dual space and reiteration theorems for the real method of interpolation for infinite families of Banach spaces introduced in [2]. We also give examples of interpolation spaces constructed with this method.

Some spectral properties of the canonical solution operator to $\bar\partial$ on weighted Fock spaces

We characterize the Schatten class membership of the canonical solution operator to $\overline{\partial}$ acting on $L^2(e^{-2\phi})$, where $\phi$ is a subharmonic function with $\Delta\phi$ a doubling measure. The obtained characterization is in terms of $\Delta\phi$. As part of our approach, we study Hankel operators with anti-analytic symbols acting on the corresponding Fock space of entire functions in $L^2(e^{-2\phi})$

On the configuration of Herman rings of meromorphic functions

We prove some results concerning the possible configuration s of Herman rings for transcendental meromorphic functions. We show that one pole is enough to obtain cycles of Herman rings of arbitrary period a nd give a sufficient condition for a configuration to be realizable.