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Teor. Veroyatnost. i Primenen., 1966, Volume 11, Issue 1, Pages 156–160 (Mi tvp575)  

Short Communications

On a problem of S. I. Vavilov

M. S. Nikol'skii

Moscow

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.

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English version:
Theory of Probability and its Applications, 1966, 11:1, 140–144

Bibliographic databases:

Received: 06.04.1965

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://www.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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