We determine the expected curvature polynomial of real projective varieties given as the zero set of independent random polynomials with Gaussian distribution, which is invariant under the orthogonal group. In particular, the expected Euler characteristic of such random real projective varieties is found. This considerably extends previously known results on the number of roots, the volume, and...

This investigation has two main objectives. The first one is to propose a statistical method, based on the fourth order cumulants, to identify single-input single-output ‘SISO’, finite impulse response ‘FIR’ system using non gaussian input, zero mean and independent identically distributed signals. The second objective is to search, as an application, a model for forecasting the wind speed time...

The purpose of this Note is to compare two approaches for the discretization of elastodynamic contact problems. First, we introduce an energy conserving method based on a standard midpoint scheme and a contact condition expressed in terms of velocity. The second approach consists in considering an equivalent distribution of the body mass so that the nodes on the contact boundary have no inertia...

— The topological structure of the adhérence of a regular language is characterized by afînite invariant structure that can be algorithmically constructed from any automaton recognizing the language. Homeomorphism of the adhérences of regular languages can be decided by constructing and comparing their associated invariant structures. These results are obtained by applying concepts and analyses...

Précisons tout de suite que dans ce qui suit, F est un corps extension finie de Qp avec p 6= 2 et même pour le théorème principal p grand. Le but de ce travail est de produire des fonctions sur les groupes p-adiques orthogonaux impairs dont les intégrales orbitales sur les éléments elliptiques réguliers ne dépendent que des classes de conjugaison stable. Au passage, on produit aussi des fonctio...

A sequential segmentation framework, where objects in an image are successively segmented, generally raises some questions about the “best” segmentation sequence to follow and/or how to avoid error propagation. In this work, we propose original approaches to answer these questions in the case where the objects to segment are represented by a model describing the spatial relations between object...

We study germs of smooth vector fields in a neighborhood of a fixed point having an hyperbolic linear part at this point. It is well known that the “small divisors” are invisible either for the smooth linearization or normal form problem. We prove that this is completely different in the smooth Gevrey category. We prove that a germ of smooth α-Gevrey vector field with an hyperbolic linear part ...

Article history: Received 6 January 2010 Accepted after revision 12 March 2010 Available online 13 April 2010 Presented by Olivier Pironneau In this Note, a new algorithm is proposed for improving the mass conservation of the level set method in the finite element context. Two kinds of Lagrange multipliers are introduced, associated respectively to the redistancing and advection equations. The ...