Mathematical Sciences: Markov Processes with Random Birth and Death

研究人员将研究马尔可夫过程与随机 出生和死亡的时间。 这些过程与 微扰理论和库兹涅佐夫过程。 研究者 将发现这些过程的新应用， 不同版本的过程，如准马尔可夫过程， 具有“创造和湮灭”的马尔可夫过程与库兹涅佐夫 流程. 比较开始时将把所有这些 Meyer的“能量泛函”。 了一些工作 在这一领域已经完成的调查以及其他 研究人员 这项研究将着眼于剩下的问题。

The investigator will study Markov processes with random times of birth and death. Such processes have connections with perturbation theory and Kuznetsov processes. The investigator will find new applications of these processes and compare different versions of processes such as quasi-Markov processes, Markov processes with "creation and annihilation" and Kuznetsov processes. The comparison will begin by linking all these processes to Meyer's "energy functional". Some work has been done in this area already by the investigator as well as other researchers. This research will look at the remaining problems.