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Sbornik: Mathematics, 2008, Volume 199, Issue 11, Pages 1597–1619
DOI: https://doi.org/10.1070/SM2008v199n11ABEH003974 (Mi sm3948) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Lebesgue measure and gambling

V. G. Kanoveia, T. Lintonb, V. A. Uspenskiic

a Institute for Information Transmission Problems, Russian Academy of Sciences
b Central College
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (386 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM2008v199n11ABEH003974
Abstract: Lebesgue measure of point sets is characterized in terms of the existence of various strategies in a certain coin-flipping game. ‘Rational’ and ‘discrete’ modifications of this game are investigated. We prove that if one of the players has a winning strategy in a game of this type depending on a given set $P\subseteq[0,1]$, then this set is measurable.
Bibliography: 11 titles.
Received: 27.09.2007 and 02.07.2008
Bibliographic databases:
UDC: 510.225+517.518.112
MSC: Primary 28A05; Secondary 03E15, 03E60
Language: English
Original paper language: Russian
Citation: V. G. Kanovei, T. Linton, V. A. Uspenskii, “Lebesgue measure and gambling”, Sb. Math., 199:11 (2008), 1597–1619
Citation in format AMSBIB
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\by V.~G.~Kanovei, T.~Linton, V.~A.~Uspenskii
\paper Lebesgue measure and gambling
\jour Sb. Math.
\yr 2008
\vol 199
\issue 11
\pages 1597--1619
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:1162
    Russian version PDF:420
    English version PDF:13
    References:71
    First page:41
     
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