Sous-corps fermés du complété de la clôture algébrique d'un corps local
Spaces of orderings of fields under finite extensions.
Spécialisation dans les disques singuliers réguliers
Spécialisation de la suite de Sturm
Spécialisation de la suite de Sturm et sous-résultants (I)
Specialization of quadratic and symmetric, bilinear forms, and a norm theorem
Specializations of one-parameter families of polynomials
Let be a number field, and suppose is irreducible over . Using algebraic geometry and group theory, we describe conditions under which the -exceptional set of , i.e. the set of for which the specialized polynomial is -reducible, is finite. We give three applications of the methods we develop. First, we show that for any fixed , all but finitely many -specializations of the degree generalized Laguerre polynomial are -irreducible and have Galois group . Second, we study specializations...
Spectre maximal d'une algèbre de Krasner
Spectre maximal d'une algèbre de Krasner
Spectres d’algèbres de Banach -adiques
Spezielle Algebren und transitive Operationen.
Spherical completeness with infinitesimals.
In the theory of nonarchimedean normed spaces over valued fields other than R or C, the property of spherical completeness is of utmost importance in several contexts, and it appears to play the role conventional completeness does in some topics of classical functional analysis. In this note we give various characterizations of spherical completeness for general ultrametric spaces, related to but different from the notions of pseudo-convergent sequence and pseudo-limit introduced by Ostrowski in...
Splitting patterns of excellent quadratic forms.
Stabilité algébrique et topologies hilbertiennes
Stabilité des corps séparablement clos
Stability in Polynomial Factorization.
Stability index of real varieties.
Stabilizability of multi-agent systems over finite fields via fully actuated system approaches
The problem of stabilizability of high-order fully actuated (HOFA) multi-agent systems over finite fields is considered in this paper. The necessary and sufficient conditions for the stabilizability of HOFA multi-agent systems are presented, which indicates the stabilizability is closely related to the interaction topology among agents. Using the full-actuation property of HOFA models, a stabilization control protocol with neighbor interaction is given for HOFA multi-agent systems. Additionally,...
Stochastic multivariable tracking: A polynomial equation approach
Stokes phenomenon, multisummability and differential Galois groups
We precise the cohomological analysis of the Stokes phenomenon for linear differential systems due to Malgrange and Sibuya by making a rigid natural choice of a unique cocycle (called a Stokes cocyle) in every cohomological class. And we detail an algebraic algorithm to reduce any cocycle to its cohomologous Stokes form. This gives rise to an almost algebraic definition of sums for formal solutions of systems which we compare to the most usual ones. We also use this construction to the Stokes cocycle...