Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 4, pp. 424-432
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M. E. Gertsenshtein; V. B. Vasil'ev (Vasilyev). Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane. Teoriâ veroâtnostej i ee primeneniâ, Tome 4 (1959) no. 4, pp. 424-432. http://geodesic.mathdoc.fr/item/TVP_1959_4_4_a3/
@article{TVP_1959_4_4_a3,
author = {M. E. Gertsenshtein and V. B. Vasil'ev (Vasilyev)},
title = {Waveguides with {Random} {Inhomogeneities} and {Brownian} {Motion} {In} the {Lobachevsky} {Plane}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {424--432},
year = {1959},
volume = {4},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1959_4_4_a3/}
}
TY - JOUR
AU - M. E. Gertsenshtein
AU - V. B. Vasil'ev (Vasilyev)
TI - Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1959
SP - 424
EP - 432
VL - 4
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1959_4_4_a3/
LA - ru
ID - TVP_1959_4_4_a3
ER -
%0 Journal Article
%A M. E. Gertsenshtein
%A V. B. Vasil'ev (Vasilyev)
%T Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1959
%P 424-432
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1959_4_4_a3/
%G ru
%F TVP_1959_4_4_a3
It has been shown that the probability density for the continuous random process of the resultant of independent values which are summed up according to the linear-fractional law satisfies the diffusion equation in the Lobachevsky plane. Green’s function of the diffusion equation, which apparently is a new distribution, has been found.
