Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2009, Volume 366, Pages 116–127 (Mi znsl3485)  
This article is cited in 4 scientific papers (total in 4 papers)

Uniformly spread measures and vector fields

M. Sodin, B. Tsirelson

School of Mathematics, Tel Aviv University, Tel Aviv, Israel
Full-text PDF (196 kB) Citations (4)
References:
PDF
HTML
Abstract: 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. Bibl. – 11 titles.
Key words and phrases: uniformly spread measure, mass transfer, transportation distance.
Received: 07.09.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 165, Issue 4, Pages 491–497
DOI: https://doi.org/10.1007/s10958-010-9817-0
Bibliographic databases:
UDC: 517.5
Language: English
Citation: M. Sodin, B. Tsirelson, “Uniformly spread measures and vector fields”, Investigations on linear operators and function theory. Part 37, Zap. Nauchn. Sem. POMI, 366, POMI, St. Petersburg, 2009, 116–127; J. Math. Sci. (N. Y.), 165:4 (2010), 491–497
Citation in format AMSBIB
\Bibitem{SodTsi09}
\by M.~Sodin, B.~Tsirelson
\paper Uniformly spread measures and vector fields
\inbook Investigations on linear operators and function theory. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 366
\pages 116--127
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3485}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 165
\issue 4
\pages 491--497
\crossref{https://doi.org/10.1007/s10958-010-9817-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949306413}
Linking options:
  • https://www.mathnet.ru/eng/znsl3485
  • https://www.mathnet.ru/eng/znsl/v366/p116
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:366
    Full-text PDF :112
    References:49
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024