Mathematical Sciences: Markov Processes and Related Topics

这群杰出的研究人员建议继续 概率势理论的研究。 一个新 基于Kuznetsov的容量和协同容量定义 措施使用。 由于这并不使用假设， 对偶，潜在理论的一般框架，预计将 出现。 具体的问题包括： 保持马尔可夫性质的库兹涅佐夫过程， 齐次随机测度与进入律的关系， 具有给定命中分布的右过程的存在性， 双布朗运动的h-变换的一般理论

This group of outstanding researcher propose to continue their studies in to probabilistic potential theory. A new definition of capacity and co-capacity based on Kuznetsov measures is used. Since this does not use the assumption of duality, a general framework for potential theory is expected to emerge. Specific problems to be worked on include transformations of Kuznetsov processes that preserve the Markov property, relationships of homogeneous random measures and entrance laws, existence of right processes with given hitting distributions and general theory of h-transforms of bi-Brownian motions.