论文标题
使用重新启动序列来确定重新启动下的有益的第一次通过
Using Restart Sequences to Determine Beneficial First Passage Under Restart
论文作者
论文摘要
第一段（FP）过程被广泛用于模拟从生物学到计算机科学的许多数学应用领域的现象。引入一种重新启动父过程的机制可以改变第一个段落特征，并且在重新启动（FPUR）过程中产生的第一个段落的特性已经过许多最近的研究。在这里，我们寻求更充分地表征离散的FP过程是否可以通过分析称为重新启动序列的构造来实现重新启动来减少其平均打击时间，这仅取决于FP过程的分布。
First Passage (FP) processes are utilized widely to model phenomena in many areas of mathematical applications, from biology to computer science. Introducing a mechanism to restart the parent process can alter the first passage characteristics, and the properties of the resulting First Passage Under Restart (FPUR) process have been subject to much recent investigation. Here we seek to more fully characterize whether a discrete FP process can have its mean hitting time reduced through the implementation of restart by analyzing a construct we call the restart sequence, which is determined solely by the distribution of the FP process.
