Uniformly spread measures and vector fields
Classical Analysis and ODEs
2016-12-21 v1 Probability
Abstract
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.
Cite
@article{arxiv.0801.2505,
title = {Uniformly spread measures and vector fields},
author = {Mikhail Sodin and Boris Tsirelson},
journal= {arXiv preprint arXiv:0801.2505},
year = {2016}
}
Comments
11 pages