124 citations · 218 across the 14 of their papers we have counts for
10 papers · 1 filter
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…
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…
Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries
Francis Nier
This article is concerned with maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries. A general class of boundary conditions is i…