Nonexpansive chaotic almost minimal systems on residually finite groups

TL;DR

This paper constructs nonexpansive chaotic almost minimal systems on all finitely-generated residually finite groups, addressing open questions about their existence and universality across such groups.

Contribution

It provides the first explicit construction of nonexpansive CAM systems on all finitely-generated residually finite groups, answering longstanding open questions.

Findings

Constructed nonexpansive CAM systems for all finitely-generated residually finite groups

Confirmed the existence of CAM systems on these groups

Addressed open problems in the field

Abstract

The question of existence of nonexpansive chaotic almost minimal (CAM) systems, and the existence of CAM systems on every residually finite group, were raised in a recent paper of Van Cyr, Bryna Kra and Scott Schmieding. We construct nonexpansive CAM systems on all finitely-generated residually finite groups.