Stochastic Semigroups and Random Mass Transfer

• Date: 2001
• Main Authors: Feshchenko, O. Yu., Фещенко, О. Ю.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4344
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the problem of random mass transfer on a metric compactum defined by a purely discontinuous stochastic semigroup \(T_t^s\) . We give a description of this semigroup based on a Markov process with random transition probability. We present conditions for the independence of measure-valu...