Institut Élie Cartan de Lorraine

About: Institut Élie Cartan de Lorraine is a facility organization based out in Vandœuvre-lès-Nancy, France. It is known for research contribution in the topics: Boundary value problem & Stochastic differential equation. The organization has 345 authors who have published 1084 publications receiving 15512 citations. The organization is also known as: Institut Élie-Cartan de Nancy.

Interplay of nonlinear diffusion, initial tails and Allee effect on the speed of invasions

Abstract: We focus on the spreading properties of solutions of monostable equations with non-linear diffusion. We consider both the porous medium diffusion and the fast diffusion regimes. Initial data may have heavy tails, which tends to accelerate the invasion phenomenon. On the other hand, the nonlinearity may involve a weak Allee effect, which tends to slow down the process. We study the balance between these three effects (nonlin-ear diffusion, initial tail, KPP nonlinearity/Allee effect), revealing the separation between " no acceleration " and " acceleration ". In most of the cases where acceleration occurs, we also give an accurate estimate of the position of the level sets.

A counterexample to the Cantelli conjecture through the Skorokhod embedding problem

Abstract: In this paper, we construct a counterexample to a question by Cantelli, asking whether there exists a nonconstant positive measurable function $\varphi$ such that for i.i.d. r.v. $X,Y$ of law $\mathcal{N}(0,1)$, the r.v. $X+\varphi(X)\cdot Y$ is also Gaussian. This construction is made by finding an unusual solution to the Skorokhod embedding problem (showing that the corresponding Brownian transport, contrary to the Root barrier, is not unique). To find it, we establish some sufficient conditions for the continuity of the Root barrier function.

Un Critere D'Isotrivialite Pour Les Familles De Varietes Hyperkähleriennes Sans Facteur Algebrique

Abstract: We show the isotriviality of families of simply-connected hyperkahler manifolds without algebraic factor, and general tori,provided the total space of the family is compact Kahler.

An overdetermined problem with non constant boundary condition

Abstract: We investigate an overdetermined Torsion problem, with a non-constant positively homogeneous boundary constraint on the gradient. We interpret this problem as the Euler equation of a shape optimization problems, we prove existence and regularity of a solution. Moreover several geometric properties of the solution are shown.

Séminaire de Probabilités L

Abstract: This milestone 50th volume of the "Seminaire de Probabilites" pays tribute with a series of memorial texts to one of its former editors, Jacques Azema, who passed away in January. The founders of the "Seminaire de Strasbourg", which included Jacques Azema, probably had no idea of the possible longevity and success of the process they initiated in 1967. Continuing in this long tradition, this volume contains contributions on state-of-art research on Brownian filtrations, stochastic differential equations and their applications, regularity structures, quantum diffusion, interlacing diffusions, mod-O convergence, Markov soup, stochastic billiards and other current streams of research.