Mathematics – Classical Analysis and ODEs
Scientific paper
2008-01-16
Mathematics
Classical Analysis and ODEs
11 pages
Scientific paper
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.
Sodin Mikhail
Tsirelson Boris
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