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Uniform Kurtz randomness

机译:一致的库尔兹随机性

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摘要

We propose studying uniform Kurtz randomness, which is the uniform relativization of Kurtz randomness. This notion has more natural properties than the usual relativization. For instance, van Lambalgen's theorem holds for uniform Kurtz randomness but not for (the usual relativization of) Kurtz randomness. Another advantage is that lowness for uniform Kurtz randomness has many characterizations, such as those via complexity, martingales, Kurtz tt-traceability and Kurtz dimensional measure.
机译:我们建议研究统一的Kurtz随机性,这是Kurtz随机性的相对化。这个概念比通常的相对论具有更多的自然属性。例如,van Lambalgen定理适用于一致的Kurtz随机性,但不适用于Kurtz随机性(通常相对论)。另一个优点是,一致的Kurtz随机性的低度具有许多特征,例如通过复杂性,mar,Kurtz tt可追踪性和Kurtz尺寸度量的特征。

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