Properties of strong random operators generated by an Arratia flow

Authors

  • Ya. A. Korenovskaya

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 KL2(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.

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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.