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Teoriya Veroyatnostei i ee Primeneniya, 1966, Volume 11, Issue 1, Pages 156–160 (Mi tvp575)  
Short Communications

On a problem of S. I. Vavilov

M. S. Nikol'skii

Moscow
Full-text PDF (309 kB)
Abstract: The paper deals with the calculation of the expectation of the volume that is once cut out by a moving ball of a small radius $\varepsilon$ in the space of $n$ dimensions ($n>1$). The movement of the centre of the ball lis controlled by the probability density that satisfies the Kolmogorov equation.
Received: 06.04.1965
English version:
Theory of Probability and its Applications, 1966, Volume 11, Issue 1, Pages 140–144
DOI: https://doi.org/10.1137/1111010
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. S. Nikol'skii, “On a problem of S. I. Vavilov”, Teor. Veroyatnost. i Primenen., 11:1 (1966), 156–160; Theory Probab. Appl., 11:1 (1966), 140–144
Citation in format AMSBIB
\Bibitem{Nik66}
\by M.~S.~Nikol'skii
\paper On a~problem of S.\,I.~Vavilov
\jour Teor. Veroyatnost. i Primenen.
\yr 1966
\vol 11
\issue 1
\pages 156--160
\mathnet{http://mi.mathnet.ru/tvp575}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=198559}
\zmath{https://zbmath.org/?q=an:0285.60057}
\transl
\jour Theory Probab. Appl.
\yr 1966
\vol 11
\issue 1
\pages 140--144
\crossref{https://doi.org/10.1137/1111010}
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