Boris Tsirelson
Published 2007-09-09, updated 2007-09-11Version 2
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.
Comments: 6 pages. The phenomenon is not new, -- published by B. Weiss in 1997
Estimates of Potential functions of random walks on $Z$ with zero mean and infinite variance and their applications
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Mixed $f$-divergence for multiple pairs of measures
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