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Дата последнего поиска статьи во внешних источниках: 3 мая 2017 г.
Аннотация:The statistical characteristics of a spatial region visited by a spherical Brownian particle during time t (Wiener sausage) are investigated. The expectation value and dispersion of this quantity are obtained for a space of arbitrary dimension. In the one-dimensional case the distribution of probability density and the moments of any order are determined for this quantity.