A note on the isomorphism of Cartesian products of ergodic flows

TL;DR

This paper investigates the conditions under which Cartesian products of certain ergodic flows are isomorphic, focusing on flows with joining primeness or $ ext{ extalpha}$-weak mixing properties, revealing stability characteristics.

Contribution

It establishes an isomorphism stability property for Cartesian products of ergodic flows with specific mixing or primeness properties, advancing understanding of their structural behavior.

Findings

Isomorphism stability for Cartesian products of flows with joining primeness

Stability results for flows with $ ext{ extalpha}$-weak mixing

Enhanced understanding of ergodic flow product structures

Abstract

We show an isomorphism stability property for Cartesian products of either flows with joining primeness property or flows which are $\alpha$-weakly mixing.