Techniques biharmoniques pour l'étude du mouvement brownien de P. Lévy à trois paramètres
Temps local et superchamp
Temps local pour les martingales à deux indices par rapport à sa variation quadratique
The central limit theorem for random fields
The geometry of Brownian surfaces.
The Hausdorff a-Dimensional Measures of the Level Sets and the Graph of the TV-Parameter Wiener Process.
The inverse of a local operator preserves the Markov property
The magnetization at high temperature for a p-spin interaction model with external field
This paper is devoted to a detailed and rigorous study of the magnetization at high temperature for a p-spin interaction model with external field, generalizing the Sherrington-Kirkpatrick model. In particular, we prove that (the mean of a spin with respect to the Gibbs measure) converges to an explicitly given random variable, and that ⟨σ₁⟩,...,⟨σₙ⟩ are asymptotically independent.
Two-parameter gaussian Markov processes and their recursive linear filtering
Two-parameter semigroups, evolutions and their applications to Markov and diffusion fields on the plane.