Published November 2013
| public
Journal Article
Stationary probability measures and topological realizations
Chicago
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Abstract
We establish the generic inexistence of stationary Borel probability measures for aperiodic Borel actions of countable groups on Polish spaces. Using this, we show that every aperiodic continuous action of a countable group on a compact Polish space has an invariant Borel set on which it has no σ-compact realization.
Additional Information
© 2013 Springer. Received July 23. 2012 and in revised form September 16. 2012. The first and third authors were supported in part by SFB Grant 878. The second author was supported in part by NSF Grant DMS-0968710.Additional details
- Eprint ID
- 43022
- DOI
- 10.1007/s11856-013-0025-8
- Resolver ID
- CaltechAUTHORS:20131216-115036936
- SFB
- 878
- NSF
- DMS-0968710
- Created
-
2013-12-16Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Other Numbering System Name
- MathSciNet Review
- Other Numbering System Identifier
- MR3096642