Uniformly spread measures and vector fields

M. Sodin*, B. Tsirelson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We show that two different ideas of uniform spreading of locally finite measures on 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. Bibliography: 11 titles.

Original languageEnglish
Pages (from-to)491-497
Number of pages7
JournalJournal of Mathematical Sciences
Issue number4
StatePublished - Feb 2010


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