124 citations · 218 across the 14 of their papers we have counts for
17 papers
Waves in a random medium: Endpoint Strichartz estimates and number estimates
S Breteaux, F Nier
In this article we reconsider the problem of the propagation of waves in a random medium in a kinetic regime. The final aim of this program would be the understanding of the condit…
Bismut hypoelliptic Laplacians for manifolds with boundaries
Francis Nier, Shu Shen
Boundary conditions for Bismut's hypoelliptic Laplacian which naturally correspond to Dirichlet and Neumann boundary conditions for Hodge Laplacians are considered. Those are relat…
Bar codes of persistent cohomology and Arrhenius law for p-forms
Dorian Le Peutrec, Francis Nier, C. Viterbo
This article shows that counting or computing the small eigenvalues of the Witten Laplacian in the semi-classical limit can be done without assuming that the potential is a Morse f…
Quaternionic structure and analysis of some Kramers-Fokker-Planck operators
Mona Ben Said, Francis Nier, Joe Viola
The present article is concerned with global subelliptic estimates for Kramers-Fokker-Planck operators with polynomials of degree less than or equal to two. The constants appearing…
Quantum mean field asymptotics and multiscale analysis
Zied Ammari, Sébastien Breteaux, Francis Nier
We study, via multiscale analysis, some defect of compactness phenomena which occur in bosonic and fermionic quantum mean-field problems. The approach relies on a combination of me…
Low temperature asymptotics for Quasi-Stationary Distributions in a bounded domain
Tony Lelièvre, Francis Nier
We analyze the low temperature asymptotics of the quasi-stationary distribution associated with the overdamped Langevin dynamics (a.k.a. the Einstein-Smoluchowski diffusion equatio…