@article{Korenovskaya_2017, title={Properties of strong random operators generated by an Arratia flow}, volume={69}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/1684}, abstractNote={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 $K \subset L_2(R)$ under which $T_t$ has a continuous modification on $K$. We also present necessary and sufficient conditions for the convergent sequences in $L_2(R)$ under which the operator $T_t$ preserves
their convergence.}, number={2}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Korenovskaya, Ya. A.}, year={2017}, month={Feb.}, pages={157-172} }