Published April 2013
| Published
Journal Article
Open
Ultraproducts of measure preserving actions and graph combinatorics
Abstract
Ultraproducts of measure preserving actions of countable groups are used to study the graph combinatorics associated with such actions, including chromatic, independence and matching numbers. Applications are also given to the theory of random colorings of Cayley graphs and sofic actions and equivalence relations.
Additional Information
© 2012 Cambridge University Press. Received 14 May 2011 and accepted in revised form 1 December 2011. Published online: 16 February 2012. The research of ASK and RDT-D was partially supported by NSF grant DMS-0968710 and of CTC by Marie Curie grant no. 249167 from the European Union. We would like to thank Russell Lyons for many useful conversations.Attached Files
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Additional details
- Eprint ID
- 37774
- Resolver ID
- CaltechAUTHORS:20130405-083026269
- DMS-0968710
- NSF
- 249167
- European Union Marie Curie Grant
- Created
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2013-04-08Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field