5,880 research outputs found

    Limits of Structures and the Example of Tree-Semilattices

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    The notion of left convergent sequences of graphs introduced by Lov\' asz et al. (in relation with homomorphism densities for fixed patterns and Szemer\'edi's regularity lemma) got increasingly studied over the past 1010 years. Recently, Ne\v set\v ril and Ossona de Mendez introduced a general framework for convergence of sequences of structures. In particular, the authors introduced the notion of QFQF-convergence, which is a natural generalization of left-convergence. In this paper, we initiate study of QFQF-convergence for structures with functional symbols by focusing on the particular case of tree semi-lattices. We fully characterize the limit objects and give an application to the study of left convergence of mm-partite cographs, a generalization of cographs

    Transmission behaviors of single mode hollow metallic waveguides dedicated to mid-infrared nulling interferometry

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    This paper reports the characterization of hollow metallic waveguides (HMW) to be used as single-mode wavefront filters for nulling interferometry in the 6-20 microns range. The measurements presented here were performed using both single-mode and multimode conductive waveguides at 10.6 microns. We found propagation losses of about 16dB/mm, which are mainly due to the theoretical skin effect absorption in addition to the roughness of the waveguide metallic walls. The input and output coupling efficiency of our samples has been improved by adding tapers to minimize the impedance mismatch. A proper distinction between propagation losses and coupling losses is presented. Despite their elevate propagation losses, HMW show excellent spatial filtering capabilities in a spectral range where photonics technologies are only emerging.Comment: This paper was published in Optics Express and can be found at http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-26-1800

    Health status, Neighbourhood effects and Public choice: Evidence from France

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    Observation of socioeconomic statistics between different neighbourhoods highlights significant differences for economic indicators, social indicators and health indicators. The issue faced here is determining the origins of health inequalities: individual effects and neighbourhood effects. Using National Health Survey and French census data from the period 2002-2003, we attempt to measure the individual and collective determinants of Self-Reported Health Status (SRH). By using a principal component analysis of aggregated census data, we obtain three synthetic factors called: "economic and social condition", "mobility" and "generational" and show that these contextual factors are correlated with individual SRHs. Since the 80s, different French governments have formulated public policies in order to take into account the specific problems of disadvantaged and deprived neighbourhoods. In view to concentrating national assistance, the French government has created "zones urbaines sensibles" (ZUS) [Critical Urban Areas, CUA]. Our research shows that in spite of implementing public policy in France to combat health inequalities, by only taking into account the CUA criterion (the fact of being in a CUA or not), many inequalities remain ignored and thus hidden.Health, Neighbourhood Effect, Housing policy

    Eigenvalue and “Twisted” eigenvalue problems, applications to CMC surfaces

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    AbstractIn this paper we investigate an eigenvalue problem which appears naturally when one considers the second variation of a constant mean curvature immersion. In this geometric context, the second variation operator is of the form Δg+b, where b is a real valued function, and it is viewed as acting on smooth functions with compact support and with mean value zero. The condition on the mean value comes from the fact that the variations under consideration preserve some balance of volume. This kind of eigenvalue problem is interesting in itself. In the case of a compact manifold, possibly with boundary, we compare the eigenvalues of this problem with the eigenvalues of the usual (Dirichlet) problem and we in particular show that the two spectra are interwined (in fact strictly interwined generically). As a by-product of our investigation of the case of a complete manifold with infinite volume we prove, under mild geometric conditions when the dimension is at least 3, that the strong and weak Morse indexes of a constant mean curvature hypersurface coincide

    M-lines characterization of selenide and telluride waveguides for mid-infrared interferometry

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    Nulling interferometry is an astronomical technique that combines equal wavefronts to achieve a deep rejection ratio of an on-axis star, and that could permit to detect Earth-like planets in the mid-infrared band 5 -- 20 microns. Similarly to what is done in the near-infrared, high frequencies spatial filtering of the incoming beams can be achieved using single-mode waveguides operating in the mid-infrared. An appreciable reduction of the instrumental complexity is also possible using integrated optics (IO) devices in this spectral range. The relative lack of single-mode guided optics in the mid-infrared has motivated the present technological study to demonstrate the feasibility of dielectric waveguides functioning at longer wavelengths. We propose to use selenide and telluride components to pursue the development of more complex IO functions.Comment: accepted in OSA Optics Express, 11 pages, 4 figure
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