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# Ultraproducts of measure preserving actions and graph combinatorics

@inproceedings{Conley2011UltraproductsOM, title={Ultraproducts of measure preserving actions and graph combinatorics}, author={Clinton T. Conley and Alexander S. Kechris and Robin D. Tucker-Drob}, year={2011} }

- Published 2011

In this paper we apply the method of ultraproducts to the study of graph combinatorics associated with measure preserving actions of infinite, countable groups, continuing the work in Conley-Kechris [CK]. We employ the ultraproduct construction as a flexible method to produce measure preserving actions a of a countable group Γ on a standard measure space (X,μ) (i.e., a standard Borel space with its σ-algebra of Borel sets and a Borel probability measure) starting from a sequence of such actions… CONTINUE READING