论文标题
Fokker-Planck类型差异操作员的Eyring-Kramers法律
Eyring-Kramers law for Fokker-Planck type differential operators
论文作者
论文摘要
我们考虑与通用Langevin流程相关的Fokker-Planck类型差异操作员，该过程承认Gibbs固定分布。在确保合适的分解估计值的假设下，我们证明了在低温状态下这些操作员底部的眼环配方。我们的方法基于构建尖锐的高斯准化合物，避免了超对称性或PT对称假设。
We consider Fokker-Planck type differential operators associated with general Langevin processes admitting a Gibbs stationary distribution. Under assumptions insuring suitable resolvent estimates, we prove Eyring-Kramers formulas for the bottom of the spectrum of these operators in the low temperature regime. Our approach is based on the construction of sharp Gaussian quasimodes which avoids supersymmetry or PT-symmetry assumptions.
