Recurrence and the existence of invariant measures

Journal of Symbolic Logic 86 (1):60-76 (2021)
  Copy   BIBTEX

Abstract

We show that recurrence conditions do not yield invariant Borel probability measures in the descriptive set-theoretic milieu, in the strong sense that if a Borel action of a locally compact Polish group on a standard Borel space satisfies such a condition but does not have an orbit supporting an invariant Borel probability measure, then there is an invariant Borel set on which the action satisfies the condition but does not have an invariant Borel probability measure.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,642

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Ideals without CCC.Marek Balcerzak, Andrzej RosŁanowski & Saharon Shelah - 1998 - Journal of Symbolic Logic 63 (1):128-148.
Amenable versus hyperfinite borel equivalence relations.Alexander S. Kechris - 1993 - Journal of Symbolic Logic 58 (3):894-907.
Admissible representations for probability measures.Matthias Schröder - 2007 - Mathematical Logic Quarterly 53 (4):431-445.
Borel equivalence relations which are highly unfree.Greg Hjorth - 2008 - Journal of Symbolic Logic 73 (4):1271-1277.
Uniformity, universality, and computability theory.Andrew S. Marks - 2017 - Journal of Mathematical Logic 17 (1):1750003.
Borel globalizations of partial actions of Polish groups.H. Pinedo & C. Uzcategui - 2018 - Archive for Mathematical Logic 57 (5-6):617-627.
Ideals with Smital properties.Marcin Michalski, Robert Rałowski & Szymon Żeberski - 2023 - Archive for Mathematical Logic 62 (5):831-842.
States on Pseudo Effect Algebras and Integrals.Anatolij Dvurečenskij - 2011 - Foundations of Physics 41 (7):1143-1162.

Analytics

Added to PP
2021-02-16

Downloads
13 (#288,494)

6 months
27 (#573,316)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Benjamin Miller
University of Illinois, Urbana-Champaign

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references