In this article, stability and asymptotic properties of solutions of a real two-dimensional system x′(t) = A(t)x(t)+B(t)x(τ(t))+h(t, x(t), x(τ(t))) are studied, where A, B are matrix functions, h is a vector function and τ(t) ≤ t is a nonconstant delay which is absolutely continuous and satisfies lim t→∞ τ(t) = ∞. Generalization of results on stability of a two-dimensional differential system w...

We consider the Segal–Bargmann transform on a noncompact symmetric space of the complex type. We establish isometry and surjectivity theorems for the transform, in a form as parallel as possible to the results in the dual compact case. The isometry theorem involves integration over a tube of radius R in the complexification, followed by analytic continuation with respect to R. A cancellation of...

A Dirac picture perturbation theory is developed for the time evolution operator in classical dynamics in the spirit of the Schwinger-Feynman-Dyson perturbation expansion and detailed rules are derived for computations. Complexification formalisms are given for the time evolution operator suitable for phase space analyses, and then extended to a two-dimensional setting for a study of the geomet...

Résumé : Cette note débute par une comparaison des propriétés respectives des cadres algébriques fournis par Clifford(1878) et Dickson(1914). Puis l’étude se concentre sur la non associativité et l’anisométrie de la multiplication. Elle met en pleine lumière le rôle central joué par les octonions dans le Calcul Algébrique non linéaire effectué dans les algèbres de Dickson sans division. Elle ex...

There exists an infinite family of p-compact groups whose Weyl groups correspond to the finite p-adic pseudoreflection groups G(q, r, n) of family 2a in the Clark-Ewing list. In this paper we study these p-compact groups. In particular, we construct an analog of the classical Whitney sum map, a family of monomorphisms and a spherical fibration which produces an analog of the classical J-homomor...

Let M = G/K be a Riemannian homogeneous manifold with dimCG C = dimRG , where G C denotes the universal complexification of G. Under certain extensibility assumptions on the geodesic flow of M , we give a characterization of the maximal domain of definition in TM for the adapted complex structure and show that it is unique. For instance, this can be done for generalized Heisenberg groups and na...

How evolution led to complex life is one of the great questions. This paper describes simulations that investigate the role of ecological interactions in the evolution of complexity. Webworld is a robust model of evolution in food webs. It is extended for variability of organism complexity under evolution. Statistical and network analysis indicates a clear tendency for complexification within t...

Si les questions trans ne sont pas récentes, leur complexification rend compréhension moins évidente. L’objet de cette communication sera revenir sur l’histoire des transidentités et voir la façon dont histoire en mutation impose nouvelles préoccupations santé. D’une part, une attention portée aux phénomènes dépathologisation dépsychiatrisation qui ont fait glisser populations cabinets psychiat...

We investigate Beurling-Fourier algebras, a weighted version of Fourier on various Lie groups focusing their spectral analysis. will introduce refined general definition weights the dual locally compact and associated algebras. Constructions nontrivial be presented cases representative examples groups, namely SU(n), Heisenberg group H, reduced Hr, Euclidean motion E(2) its simply connected cove...

Cet article rend compte de l’impact la pièce « Qui a tué Freebird? », du Théâtre Parminou, sur les perceptions et attitudes des jeunes personnel scolaire face à radicalisation violente. Partant d’une méthodologie mixte, cet révèle différences régionales significatives au niveau montre que fait évoluer certaines attitudes. Les résultats suggèrent partiellement atteint ses objectifs en sensibilis...