Laboratoire de Mathématiques d'Orsay

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20022011

most citedRandom data Cauchy theory for supercritical wave equations I: Local theory

200 citations

Showing 2004Show all

16 papers · 1 filter

gr-qc2004★ 36 cited

Gluing Initial Data Sets for General Relativity

Piotr T. Chrusciel, James Isenberg, Daniel Pollack

We establish an optimal gluing construction for general relativistic initial data sets. The construction is optimal in two distinct ways. First, it applies to generic initial data…

math.AP2004

Bubble towers for supercritical semilinear elliptic equations

Yuxin Ge, Ruihua Jing, Frank Pacard

We construct positive solutions of the semilinear elliptic problem $Δ u + λ u + u^{p} = 0$ with Dirichet boundary conditions, in a bounded smooth domain $Ω \subset R^{N}$ $(N \geq 4)$ , whe…

math.AP2004★ 8 cited

Stabilization of the Linear System of Magnetoelasticity

Thomas Duyckaerts

We give a necessary and sufficient condition, of geometric type, for the uniform decay of energy of solutions of the linear system of magnetoelasticity in a bounded domain with smo…

math.AG2004

Fibration de Hitchin et endoscopie

Ngo Bao Chau

We propose a geometric interpretation of the theory of elliptic endoscopy, due to Langlands and Kottwitz, in terms of the Hitchin fibration. As applications, we prove a global anal…

math.PR2004★ 41 cited

Optimal Hoeffding bounds for discrete reversible Markov chains

Carlos A. Leon, Francois Perron

We build optimal exponential bounds for the probabilities of large deviations of sums \sum_{k=1}^nf(X_k) where (X_k) is a finite reversible Markov chain and f is an arbitrary bound…

math.PR2004★ 10 cited

A homing problem for diffusion processes with control-dependent variance

Mario Lefebvre

Controlled one-dimensional diffusion processes, with infinitesimal variance (instead of the infinitesimal mean) depending on the control variable, are considered in an interval loc…