3 papers
math.AP2026
Hypocoercivity and metastability of degenerate KFP equations at low temperature
Loïs Delande
We consider Kramers-Fokker-Planck operators with general degenerate coefficients. We prove semiclassical hypocoercivity estimates for a large class of such operators. Then, we mana…
math.AP2026
Sharp spectral gap for some degenerate Witten Laplacians
Loïs Delande
We consider Witten Laplacians associated to some non-Morse potentials. We prove Eyring-Kramers formulas for the bottom of the spectrum of these operators in the semiclassical regim…
math.AP2026
Sharp spectral gap of adaptive Langevin dynamics
Loïs Delande
We consider a degenerated Fokker-Planck type differential operator associated to an adaptive Langevin dynamic. We prove Eyring-Kramers formulas for the bottom of the spectrum of th…