Boris Tsirelson,
"Divergence of a stationary random vector field can be always positive (a Weiss' phenomenon)."
arXiv:0709.1270.
Available online (free of charge) from e-print archive (USA):
arXiv.org/abs/0709.1270/
or its Israeli mirror:
il.arXiv.org/abs/0709.1270/

A research eprint, 6 pages, bibl. 1 ref.

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.

1. Introduction.
1. The construction and the proof.
2. Remarks and questions.