Mesure asymptotique définie par une fonction à valeurs dans Rn ou dans un espace vectoriel topologique
Extending and lifting some linear topological structures.
Generalization of some inequalities for the gamma function.
The Dirichlet problem in the dispersion of gas exhalations over a wet hilly surface
The dispersion of gas exhalations and the problem of distribution of new sources on a dry hilly surface
The process of gas exhalations in the lower layer of the atmosphere and the problem of distribution of new sources of exhalations in a hilly terrain are studied. Among other, the following assumptions are introduced: (1) the terrain is a hilly one, (2) the exhalations enter a chemical reaction with the atmosphere, (3) the process is stationary, (4) the vector of wind velocity satisfies the continuity equation. The mathematical formulation of the problem then is a mixed boundary value problem for...
Some properties of sheaf-solutions of sheaf fuzzy control problems.
Integral representations for solutions of exponential Gauß-Manin systems
Let be two regular functions from the smooth affine complex variety to the affine line. The associated exponential Gauß-Manin systems on the affine line are defined to be the cohomology sheaves of the direct image of the exponential differential system with respect to . We prove that its holomorphic solutions admit representations in terms of period integrals over topological chains with possibly closed support and with rapid decay condition.
Equivalence of multi-norms
The theory of multi-norms was developed by H. G. Dales and M. E. Polyakov in a memoir that was published in Dissertationes Mathematicae. In that memoir, the notion of ’equivalence’ of multi-norms was defined. In the present memoir, we make a systematic study of when various pairs of multi-norms are mutually equivalent. In particular, we study when (p,q)-multi-norms defined on spaces are equivalent, resolving most cases; we have stronger results in the case where r = 2. We also show that the standard...
A primal-dual integral method in global optimization
Using the Fenchel conjugate of Phú’s Volume function F of a given essentially bounded measurable function f defined on the bounded box D ⊂ Rⁿ, the integral method of Chew and Zheng for global optimization is modified to a superlinearly convergent method with respect to the level sequence. Numerical results are given for low dimensional functions with a strict global essential supremum.
Formules de Picard-Lefschetz
Tresses des fonctions algébriques d'après V. Arnold
Résurgence d'un thème de Huygens-Fresnel
Classification des singularités
Caustics and Microfunctions
Calcul microdifférentiel complexe et méthode semi-classique
Connexion de Gauss-Manin microlocale
Résurgence des fleuves
On some recent aspects of stochastic control and their applications.
Embedding quasi-metric spaces in Hilbert space. (Short Communication).
Embedding quasi-metric spaces in Hilbert spaces.
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