Generically stable and smooth measures in NIP theories

Generically stable and smooth measures in NIP theories
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NIP理论中的一般稳定和平滑测度

DOI:
10.1090/s0002-9947-2012-05626-1
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发表时间:
2010
影响因子:
1.3
通讯作者:
Pierre Simon
Pierre Simon
中科院分区:
数学1区
文献类型:
--
作者:
E. Hrushovski;A. Pillay;Pierre Simon

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我们用nip(无独立性)制定了一般稳定类型的测量类似物,给出了几个字符,回答了[9]的一些问题,并给出了[9]的另一种唯一性处理。 “通用紧凑型统治”,将其与Keisler测量的平稳性有关,并给出了组版本。在真实和P-ADIC领域中设置。
We formulate the measure analogue of generically stable types in first order theories with NIP (without the independence property), giving several characterizations, answering some questions from [9], and giving another treatment of uniqueness results from [9]. We introduce a notion of “generic compact domination”, relating it to stationarity of Keisler measures, and also giving group versions. We also prove the “approximate definability” of arbitrary Borel probability measures on definable sets in the real and p-adic fields.
关于 NIP 和不变测度
DOI: 10.4171/jems/274
发表时间: 2011
影响因子: 2.6
作者:
Pillay A
通讯作者: Pillay A