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arXiv · 1106.3127

Amenability and Ramsey Theory

Justin Tatch Moore
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Abstract

The purpose of this article is to connect the notion of the amenability of a discrete group with a new form of structural Ramsey theory. The Ramsey theoretic reformulation of amenability constitutes a considerable weakening of the Folner criterion. As a by-product, it will be shown that in any non amenable group G, there is a subset E of G such that no finitely additive probability measure on G measures all translates of E equally.

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Justin Tatch Moore. 2011-10-20. Amenability and Ramsey Theory. https://arxiv.org/abs/1106.3127

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