3 papers
math.AP2025
Global subelliptic estimates for geometric Kramers-Fokker-Planck operators on closed manifolds
Francis Nier, Xingfeng Sang, Francis White
In this article we reconsider the proof of subelliptic estimates for Geometric Kramers-Fokker-Planck operators, a class which includes Bismut's hypoelliptic Laplacian, when the bas…
math.AP2025
A Grushin problem for Bismut's hypoelliptic Laplacian
Xingfeng Sang, Francis White, Francis Nier
We study in this article the combined asymptotic analysis of Bismut's hypoelliptic Laplacian, in the high friction b 0+ and possibly low temperature h 0…
math.SP2024
Mourre theory for analytically fibered operators revisited
Francis Nier, Christian Gérard
About 25 years ago our article "Mourre theory for analytically fibered operators" was published in J. of Functional Analysis. This article proposed a general construction of a conj…