扩散首中时与钟形
Diffusion hitting times and the Bell-shape
摘要：
考虑R上的广义扩散，速度测度为m，在自然尺度下。已知条件首中时具有单峰密度函数。我们表明，这些击中密度是钟形的当且仅当m有无穷多个点的起点和击中点之间的增加。这个结果可以看作是Yamazato关于扩散首中时的一般因式分解的一个直观推论。
英文摘要：
Consider a generalized diffusion on R with speed measure m, in the natural scale. It is known that the conditional hitting times have a unimodal density function. We show that these hitting densities are bell-shaped if and only if m has infinitely many points of increase between the starting point and the hit point. This result can be viewed as a visual corollary to Yamazato's general factorization for diffusion hitting times.
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。
