## B. Tsirelson | ## Uniformly spread measures and vector fields | ## Recent works |

Mikhail Sodin, Boris Tsirelson,

"Uniformly spread measures and vector fields."

J. Math. Sci. (N.Y.) **165**:4, 491-497 (2010);

Zap. Nauchn. Sem. POMI **366**, 116-127 (2009).

Available online (free of charge) on the journal site:

http://mi.mathnet.ru/eng/znsl3485

See also
arXiv.org/abs/0801.2505

A research paper, 7 (12) pages, bibl. 11 refs.

We show that two different ideas of uniform spreading of locally
finite measures in the *d*-dimensional Euclidean space are
equivalent. The first idea is formulated in terms of finite distance
transportations to the Lebesgue measure, while the second
idea is formulated in terms of vector fields connecting
a given measure with the Lebesgue measure.

- Introduction.
- Proof of Theorem 1.4.
- Appendix.

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