Year: 2025
Type: article
Abstract: 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 this operator in the low temperature regime. The main ingredients are resolvent estimates obtained via hypocoercive techniques and the construction of sharp Gaussian quasimodes through an adaptation of the Wentzel-Kramers-Brillouin method.
Source: Asymptotic Analysis
Author: Loïs Delande
Institutions: Université de Bordeaux, Institut de Mathématiques de Bordeaux
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4408661602