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Short Communications

Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane

M. E. Gertsenshtein^a, V. B. Vasil'ev (Vasilyev)

^a Moscow

Abstract: 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.

Received: 25.12.1958

 English version: Theory of Probability and its Applications, 1959, 4:4, 391–398