Mathematical Sciences: Several Questions in Probability Theory

首席研究员将对与概率数学理论有关的各种主题进行研究。这些主题包括概率划分问题(公平划分问题)、最优停止理论(特别是顺序选择问题、预言者不等式和秘书问题)以及向量概率的范围。这些问题在运筹学、管理科学和统计决策理论中都有潜在的应用，也可以应用于经典的概率论、测度论和积分论以及函数论。

The principal investigator will carry out research on a variety of topics related to the mathematical theory of probability. These topics include probabilistic partitioning problems (fair-division problems), optimal stopping theory (especially order-selection problems, prophet inequalities, and secretary problems), and ranges of vector probabilities. Such problems have potential application within operations research, management science, and statistical decision theory, as well as application to classical probability, measure and integration theory, and function theory.