On a problem of S. I. Vavilov
Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 1, pp. 156-160
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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.
@article{TVP_1966_11_1_a9,
author = {M. S. Nikol'skii},
title = {On a~problem of {S.} {I.~Vavilov}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {156--160},
year = {1966},
volume = {11},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_1_a9/}
}
M. S. Nikol'skii. On a problem of S. I. Vavilov. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 1, pp. 156-160. http://geodesic.mathdoc.fr/item/TVP_1966_11_1_a9/