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arxiv: 0709.1270 · v2 · submitted 2007-09-09 · 🧮 math.PR

Divergence of a stationary random vector field can be always positive (a Weiss' phenomenon)

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keywords randomdivergencefieldphenomenonstationaryvectorweissalmost
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The divergence of a stationary random vector field at a given point is usually a centered (that is, zero mean) random variable. Strangely enough, it can be equal to 1 almost surely. This fact is another form of a phenomenon disclosed by B. Weiss in 1997.

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