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}
}
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

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References

Publications referenced by this paper.
Showing 1-10 of 15 references

Moyennes invariantes et represéntations unitaires

  • P. Eymard
  • Lecture Notes in Math., 300, Springer-Verlag
  • 1972
Highly Influential
3 Excerpts

Ergodic theory with a view towards number theory

  • M. Einsiedler, T. Ward
  • Graduate Texts in Math., 259. Springer
  • 2011

An analytical approach to constant-time algorithms

  • G. Elek, G. Lippner, Borel oracles
  • Proc. Amer. Math. Soc.,
  • 2010

Hyperlinearity, sofic groups and applications to group theory, handwritten note, 2009 (available at www.ms.utokyo.ac.jp/∼narutaka/publications.html)

  • N. Ozawa
  • 2009

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