Properties of strong random operators generated by an Arratia flow
Abstract
We study the properties of strong random operators Tt in L2(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⊂L2(R) under which Tt has a continuous modification on K. We also present necessary and sufficient conditions for the convergent sequences in L2(R) under which the operator Tt preserves their convergence.Downloads
Published
25.02.2017
Issue
Section
Research articles
How to Cite
Korenovskaya, Ya. A. “Properties of Strong Random Operators Generated by an Arratia Flow”. Ukrains’kyi Matematychnyi Zhurnal, vol. 69, no. 2, Feb. 2017, pp. 157-72, https://umj.imath.kiev.ua/index.php/umj/article/view/1684.