91 citations · 111 across the 13 of their papers we have counts for
15 papers
Short-time parametrix for the Fokker--Planck semigroup and applications
Paul Alphonse, Jean-Marc Bouclet, Matthieu Léautaud
We construct a short-time parametrix for the Fokker--Planck semigroup in Euclidean space. Among possible applications, we obtain smoothing and localization properties of the semigr…
Lectures on unique continuation for waves
Camille Laurent, Matthieu Léautaud
These notes are intended as an introduction to the question of unique continuation for the wave operator, and some of its applications. The general question is whether a solution t…
Length orthospectrum and the correlation function on flat tori
Nguyen Viet Dang, Matthieu Léautaud, Gabriel Rivière
This note presents some of the results obtained in arXiv:2207.05410 and it has beenthe object of a talk of the second author during the Journées "Équations auxDérivées Partielles"…
On critical points of eigenvalues of the Montgomery family of quartic oscillators
Bernard Helffer, Matthieu Léautaud
We discuss spectral properties of the family of quartic oscillators on the real line, where $α\in…
Length orthospectrum of convex bodies on flat tori
Nguyen Viet Dang, Matthieu Léautaud, Gabriel Rivière
In analogy with the study of Pollicott-Ruelle resonances on negatively curved manifolds, we define anisotropic Sobolev spaces that are well-adapted to the analysis of the geodesic…
Spectral summability for the quartic oscillator with applications to the Engel group
Hajer Bahouri, Davide Barilari, Isabelle Gallagher +1
In this article, we investigate spectral properties of the sublaplacian on the Engel group, which is the main example of a Carnot group of step 3. We develop a new approac…