论文标题
Eyring-kramers类型公式用于某些分段确定性马尔可夫流程
Eyring-Kramers type formulas for some piecewise deterministic Markov processes
论文作者
论文摘要
在这项工作中，我们在某些分段确定性的马尔可夫过程的最小特征值（包括Zigzag过程和弹性粒子样本过程）中给出了较小的特征值的急剧渐近等效，并具有刷新率$α$ $α$的一维型号。还考虑了茶点$α$在T上消失的情况。
In this work, we give sharp asymptotic equivalents in the small temperature regime of the smallest eigenvalues of the generator of some piecewise deterministic Markov processes (including the ZigZag process and the Bouncy Particle Sampler process) with refreshment rate $α$ on the one-dimensional torus T. These asymptotic equivalents are usually called Eyring-Kramers type formulas in the literature. The case when the refreshment rate $α$ vanishes on T is also considered.
