Théorie des genres analytique des fonctionsL p-adiques des corps totalement réels

Sans résumé     

Hyperbolicité relative des suspensions de groupes hyperboliques

After introducing the notion of group automorphism hyperbolic relative to a family of subgroups, we establish an analog of the Bestvina–Feighn's Combination Theorem for mapping-tori groups $\text{G}{}_{\mathrm{\alpha }}\text{=G?}{}_{\mathrm{\alpha }}\text{Z}$ of relatively hyperbolic automorphisms α of hyperbolic groups G. Both Farb's and Gromov's relative hyperbolicity are considered. To cite this article: F. Gautero, C. R. Acad. Sci. Paris, Ser. I 336 (2003).     

Sur l'induction des modules indécomposables et la projectivité relative

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On a disparity between relative cliquewidth and relative NLC-width

Cliquewidth and NLC-width are two closely related parameters that measure the complexity of graphs. Both clique- and NLC-width are defined to be the minimum number of labels required to create a labelled graph by certain terms of operations. Many hard problems on graphs become solvable in polynomial-time if the inputs are restricted to graphs of bounded clique- or NLC-width. Cliquewidth and NLC-width differ at most by a factor of two.The relative counterparts of these parameters are defined to be the minimum number of labels necessary to create a graph while the tree-structure of the term is fixed. We show that Relative Cliquewidth and Relative NLC-width differ significantly in computational complexity. While the former problem is NP-complete the latter is solvable in polynomial time. The relative NLC-width can be computed in O(n³) time, which also yields an exact algorithm for computing the NLC-width in time O(3ⁿn). Additionally, our technique enables a combinatorial characterisation of NLC-width that avoids the usual operations on labelled graphs.     

Normal form theory for relative equilibria and relative periodic solutions

We show that in the neighbourhood of relative equilibria and relative periodic solutions, coordinates can be chosen so that the equations of motion, in normal form, admit certain additional equivariance conditions up to arbitrarily high order.

In particular, normal forms for relative periodic solutions effectively reduce to normal forms for relative equilibria, enabling the calculation of the drift of solutions bifurcating from relative periodic solutions.

     

Représentation des martingales de carré integrable relative aux processus de Wiener et de Poisson à n paramètres

Sans résuméMembre du Laboratoire de Probabilités associé au C.N.R.S. (L.A. 224)     

Majorization and relative concavity

In this paper, some results established in [H.-N. Shi, Refinement and generalization of a class of inequalities for symmetric functions, Math. Practice Theory 29 (4) (1999) pp. 81-84] are extended from the classical majorization preordering to group-induced cone orderings. To this end the notion of relative concavity introduced in [C.P. Niculescu, F. Popovici, The extension of majorization inequalities within the framework of relative convexity, J. Inequal. Pure Appl. Math. 7 (1) (2005) (Article 27)] is used. In addition, some Ky Fan’s inequalities are discussed.     

A relative Shafarevich theorem

Suppose given a Galois étale cover YX of proper non-singular curves over an algebraically closed field k of prime characteristic p. Let H be its Galois group, and G any finite extension of H by a p-group P. We give necessary and sufficient conditions on G to be the Galois group of an étale cover of X dominating YX.in final form: 16 September 2003     

Equivalance de marita relative

We define a relative Morita equivalence and we extend the Morita—invariance of cyclic and Hochschild homology to the relative'case.     

A relative completeness theorem

Archiv der Mathematik - We prove a relative n-completeness theorem asserting that a complex space Y that fibers over a complex space X of dimension less than n is n-complete provided that Y admits...     

Reversible relative difference sets

We investigate nontrivial (m, n, k, )-relative difference sets fixed by the inverse. Examples and necessary conditions on the existence of relative difference sets of this type are studied.     

On some relative convexities

We study two types of relative convexities of convex functions f and g. We say that f is convex relative to g   in the sense of Palmer (2002, 2003), if f=h(g)$f=h(g)$, where h   is strictly increasing and convex, and denote it by f_?(1)g$f{?}_{(1)}g$. Similarly, if f is convex relative to g   in the sense studied in Rajba (2011), that is if the function f−g$f-g$ is convex then we denote it by f_?(2)g$f{?}_{(2)}g$. The relative convexity relation _?(2)${?}_{(2)}$ of a function f   with respect to the function g(x)=cx²$g(x)=c{x}^2$ means the strong convexity of f. We analyze the relationships between these two types of relative convexities. We characterize them in terms of right derivatives of functions f and g, as well as in terms of distributional derivatives, without any additional assumptions of twice differentiability. We also obtain some probabilistic characterizations. We give a generalization of strong convexity of functions and obtain some Jensen-type inequalities.