Inversion des matrices de Toeplitz dont le symbole admet un zéro d’ordre rationnel positif, valeur propre minimale

Nombres de Pisots, matrices primitives et bêta-conjugués

Pisot numbers, primitive matrices and beta-conjugates. We show that given a Pisot number β, for any integer n large enough, there is a nonnegative primitive square matrix whose order is equal to the degree of β, and the matrix admits β for eingenvalue. Let β = a1/β + a2/β + · · ·+ an/β + · · · be the β-expansion of β. For any Pisot number β, the sequence (an)n≥1 is ultimately periodic i.e., for...

An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations

For monotone linear differential systems with periodic coefficients, the (first) Floquet eigenvalue measures the growth rate of the system. We define an appropriate arithmetico-geometric time average of the coefficients for which we can prove that the Perron eigenvalue is smaller than the Floquet eigenvalue. We apply this method to Partial Differential Equations, and we use it for an age-struct...

Valeur pratique comparée des réactions d'agglutination, de conglutination directe, d'hémagglutination polyosidique et protéinique pour le diagnostic de la peste

Un schéma d’interpolation rationnel sur un quadrilatère de classe C2

Let Q be a partition of a polygonal domain of the plan into convexe quadrilatéral. Given a regular function ƒ , we construct a function Hf G C(H), interpolating position values and derivatives of ƒ up of order 2 at vertices of Q. On each quadrilatéral Q G Q, Tlf\Q is a flnite element obtained from a polynomial scheme of FVS type by adding some rational functions. Résumé. Soit Q une partition en...

Une approche facilitant la couverture et l'intelligibilité des influences des traits de personnalité sur le raisonnement rationnel des agents

We present a generic approach to the implementation of a principle stating that personality traits have an actual influence over the rational decision making process of cognitive agents. The contribution of this work concerns the coverage of the domain of psychology that is treated, the genericity of the proposal with regard to the models of rational agents used and above all, the improvement o...