当前位置: X-MOL 学术J. Symb. Log. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
RECURRENCE AND THE EXISTENCE OF INVARIANT MEASURES
The Journal of Symbolic Logic ( IF 0.5 ) Pub Date : 2021-02-15 , DOI: 10.1017/jsl.2020.8
MANUEL J. INSELMANN , BENJAMIN D. MILLER

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.

中文翻译:

复现和不变测度的存在

我们表明,在描述性集合论环境中,递归条件不会产生不变的 Borel 概率测度,在强烈的意义上,如果局部紧波兰群在标准 Borel 空间上的 Borel 作用满足这样的条件但没有轨道支持不变的 Borel 概率测度,则存在一个不变的 Borel 集,其上的动作满足条件但没有不变的 Borel 概率测度。
更新日期:2021-02-15
down
wechat
bug