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arxiv: 0810.4700 · v2 · submitted 2008-10-26 · 🧮 math.FA · math.PR

On nearly radial marginals of high-dimensional probability measures

classification 🧮 math.FA math.PR
keywords high-dimensionalmarginalsprobabilityabsolutelyapproximatelycontinuouslinearlow-dimensional
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We prove that any absolutely continuous probability measure on a high-dimensional linear space has low-dimensional marginals that are approximately spherically-symmetric.

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