Generalization of one problem of stochastic geometry and related measure-valued processes

• Date: 2000
• Main Authors: Yurachkovskii, A. P., Юрачківський, А. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4441
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove a functional limit theorem for the measure of a domain in which the values of a time-dependent random field do not exceed a given level. We illustrate this theorem by a geometric model.