Ponzi schemes on coarse spaces with uniform measure

TL;DR

This paper explores Ponzi schemes within coarse spaces equipped with measures, offering a new reformulation that connects these schemes to the concept of amenability in coarse geometry.

Contribution

It introduces a measure-based reformulation of Ponzi schemes in coarse spaces, extending their characterization of amenability.

Findings

Reformulation of Ponzi schemes using measures in coarse spaces

New insights into the relationship between Ponzi schemes and amenability

Potential applications in coarse geometric analysis

Abstract

Ponzi schemes, defined by Block-Weinberger(1992) and Roe(2003), give a characterization of amenability from the viewpoint of coarse geometry. We consider measures in coarse spaces, and propose a reformulation of Ponzi schemes with measures.