Sur un théorème relatif aux surfaces pour lesquelles les coordonnées d'un point quelconque s'expriment par des louctions abéliennes de deux paramètres

Sans résumé     

A dual resonance model for high energy electroweak reactions

We derive a dual resonance model for two body electroweak reactions at a few TeV. This model depends on one non standard free parameter, the “weak interaction Regge slope”α _w ^′ , and implies towers of resonances in all non-exotic channels at massesm _n=√n/α _w ^′ . Whenα _w ^′ goes to zero, we require, by explicit matching, consistency of our model at the tree level with the standard model with Higgs boson graphs removed. To derive this model, we have transposed in the electroweak domain an equivalent model suited to hadronic interactions at a few GeV which gives a good agreement with experimental data. This article was processed by the author using the LAT_EX style filepljour2 from Springer-Verlag.     

Composes heterocycliques spiranniques—V : Etude conformationnelle de composes de la famille des oxa-1 spiro [n.5] alcanes

The conformational equilibrium constants for a number of 1-oxaspiro [n.5] alkanes (n = 5 and 4) have been determined by physical methods, essentially proton magnetic resonance. If the conformer with axial oxygen is always favoured, the ΔG values, however, decrease going from n = 5 to n = 4. Data in the crystalline state (X-ray diffraction) show that this decrease agrees well with relief of the strongest syn-axial compression, the chair form of cyclohexane moiety being unaltered.     

Polynomials,random walks and risk processes: a multivariate framework

This paper is concerned with two families of multivariate polynomials: the Appell polynomials and the Abel-Gontcharoff polynomials. Both families are well-known in the univariate case, but their multivariate version is much less standard. We first provide a simple interpretation of these polynomials through particular constrained random walks on a lattice. We then derive nice analytical results for two special cases where the parameters of the polynomials are randomized. Thanks to the interpretation and randomization of the polynomials, we can derive new results and give other insights for the study of two different risk problems: the ruin probability in a multiline insurance model and the size distribution in a multigroup epidemic.