Properties of strong random operators generated by an Arratia flow

• Date: 2017
• Main Authors: Korenovskaya, Ya. A., Кореновская, Я. А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1684
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the properties of strong random operators $T_t$ in $L_2(R)$ used to describe the shifts of the functions along an Arratia flow. We prove the formula of change of variables for the Arratia flow. As a consequence of this formula, we establish sufficient conditions for compact sets $K \subset...