Valeurs limites pour les éléments des chaos
Vector spaces over function fields. Vector spaces over analytic function fields being associated to ordinary differential equations.
Vectorial form of Ekeland-type variational principle in locally convex spaces and its applications.
Wavelet Analysis and Covariance Structure of some Classes of Non-Stationary Processes.
Weak convergence in infinite dimensional spaces
Wehrl entropy of the state in a two-atom Tavis-Cummings model
In this paper we present an entropic description of quantum state obtained by interaction of one mode of quantized electromagnetic field with two two-level atoms inside a cavity, known as Tavis-Cumming model. Wehrl entropy has been calculated analytically and investigated as a function of the average value of the photon number operator. Husimi's Q function has been calculated and compared with the behaviour of the field entropy.
Well-posedness of the Euler and Navier-Stokes equations in the Lebesque spaces Lsp(R2).
In this paper we show that the Euler equation for incompressible fluids in R2 is well posed in the (vector-valued) Lebesgue spacesLsp = (1 - ∆)-s/2 Lp(R2) with s > 1 + 2/p, 1 < p < ∞and that the same is true of the Navier-Stokes equation uniformly in the viscosity ν.
When some variational properties force convexity
The notion of adequate (resp. strongly adequate) function has been recently introduced to characterize the essentially strictly convex (resp. essentially firmly subdifferentiable) functions among the weakly lower semicontinuous (resp. lower semicontinuous) ones. In this paper we provide various necessary and sufficient conditions in order that the lower semicontinuous hull of an extended real-valued function on a reflexive Banach space is essentially strictly convex. Some new results on nearest...
Why minimax is not that pessimistic
In nonparametric statistics a classical optimality criterion for estimation procedures is provided by the minimax rate of convergence. However this point of view can be subject to controversy as it requires to look for the worst behavior of an estimation procedure in a given space. The purpose of this paper is to introduce a new criterion based on generic behavior of estimators. We are here interested in the rate of convergence obtained with some classical estimators on almost every, in the sense...
Zur Lototsky - Transformation über kompakten Räumen von Wahrscheinlichkeitsmassen.
-convergence of nonlinear monotone operators in perforated domains with holes of small size
This paper is devoted to the homogenization beyond the periodic setting, of nonlinear monotone operators in a domain in with isolated holes of size ( a small parameter). The order of the size of the holes is twice that of the oscillations of the coefficients of the operator, so that the problem under consideration is a reiterated homogenization problem in perforated domains. The usual periodic perforation of the domain and the classical periodicity hypothesis on the coefficients of the operator...
-porosity in monotonic analysis with applications to optimization.
Алгебра символов Вейля и задачи Коши для регулярных символов
Асимптотика средних в неравновесной модели типа Дикке
Гармонический анализ в многосвязной области I
Гармонический анализ в многосвязной области II
Минимаксное обнаружение сигнала при невырожденных функциях потерь и экстремальные выпуклые задачи
О голоморфных вектор- функциях одного переменного. II: Функции в области
О голоморфных вектор-функциях одного переменного
О классификации алгебр с тождествами методом функциональных уравнений