关于亚稳过程的Hill关系和平均反应时间
On the Hill relation and the mean reaction time for metastable processes
摘要：
我们说明了如何希尔关系和准平稳分布的概念可以用来分析的偏置误差引入了许多数值程序，已提出在文献中，特别是在分子动力学，计算平均反应时间之间的亚稳态马尔可夫过程。的理论研究结果示出了各种例子证明的尖锐性的偏置误差分析以及我们的研究椭圆扩散的适用性。
英文摘要：
We illustrate how the Hill relation and the notion of quasi-stationary distribution can be used to analyse the biasing error introduced by many numerical procedures that have been proposed in the literature, in particular in molecular dynamics, to compute mean reaction times between metastable states for Markov processes. The theoretical findings are illustrated on various examples demonstrating the sharpness of the biasing error analysis as well as the applicability of our study to elliptic diffusions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
