We give a topological interpretation of the space of L2-harmonic forms on Manifold with flat ends. It is an answer to an old question of J. Dodziuk. We also give a Chern-Gauss-Bonnet formula for the L2-Euler characteristic of some of these Manifolds. These results are applications of general theorems on complete Riemannian Manifold whose Gauss-Bonnet operator is nonparabolic at infinity. Résumé...

Ultrasound microscopy is a promising tool to investigate material properties of various tissues. The application to bone is not straightforward and requires a thorough inspection of currently accepted models. Their refinements will be incorporated into a computer program for an objective interpretation of the measured data, based on the numerical solution of inverse problems. Résumé. La microsc...

l’objectif du présent article est d’étudier le caractère pluriel de l’interprétation d’un passage de terre des hommes de saint-exupéry, célèbre sous la formule « mozart assassiné ». dans ce travail de recherche, nous avons évoqué plusieurs interprétations existantes de ce texte. ce caractère pluriel se manifeste dans l’interprétation de ce texte et de sa phrase finale qui est une sentence de vé...

Querying databases containing imprecise data raises different problems among which that of complexity. In this paper, a new type of query is considered. These queries, called possibilistic queries, are of the form: "to what extent is it possible that tuple t belongs to the answer to query Q", where Q denotes a usual query that may involve selection and join operations. The model used is the rel...

We prove that the Lam-Shimozono “down operator” on the affine Weyl group induces a derivation of the affine Fomin-Stanley subalgebra of the affine nilCoxeter algebra. We use this to verify a conjecture of Berg, Bergeron, Pon and Zabrocki describing the expansion of k-Schur functions of “near rectangles” in the affine nilCoxeter algebra. Consequently, we obtain a combinatorial interpretation of ...

We present here a family of posets which generalizes both partition and pointed partition posets. After a short description of these new posets, we show that they are Cohen-Macaulay, compute their Moebius numbers and their characteristic polynomials. The characteristic polynomials are obtained using a combinatorial interpretation of the incidence Hopf algebra associated to these posets. Résumé....

— In this paper, we show that the reduction of divisors in the Jacobian of a curve C can be performed by considering the intersections of a suitable projective model of C with quadrics in projective space. We apply this idea to certain projective model of elliptic and hyperelliptic curves on one hand, and to the canonical model of Cab curves on the other hand, and we find well known algorithms....