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Дата последнего поиска статьи во внешних источниках: 10 августа 2018 г.
Аннотация:The present paper is chiefly based on the report delivered by the author on March
16, 2016 at the Principle Seminar of the Department of Probability held at the Faculty of Mechanics
and Mathematics of Moscow State University. We describe in general terms the relations of the
theory of probability with integral geometry and with the phenomenon of measure concentration in
multidimensional geometry. In this context, we also discuss one general observation by A. N. Kolmogorov
about the Gauss normal distribution, which was brought to the author’s attention by
A. N. Shiryaev.
Key words. probability, integral geometry, multidimensional geometry, concentration of the
measure, laws of large numbers, normal distribution
DOI. 10.1137/S0040585X97T988587