论文标题
被杀死的Langevin过程的显式和尖锐的双向估计
Explicit and sharp two-sided estimates for the killed Langevin process
论文作者
论文摘要
我们证明了具有二次潜力的Langevin工艺过渡密度的明确和尖锐的双向估计值，在位置间隔之外被杀死（0,1）。还获得了该过渡密度的长时间渐近学。特别是，这使我们能够证明被杀的半群在有条件地有条件地呈现。
We prove explicit and sharp two-sided estimates for the transition density of the Langevin process with quadratic potential, killed outside of the position interval (0,1). The long-time asymptotics of this transition density are also obtained. In particular, this allows us to show that the killed semigroup is uniformly conditionally ergodic.
