三维双曲空间中布朗运动的解析解
Analytic solution for Brownian motion in three dimensional hyperbolic space
摘要：
在F.I.Karpelevich，V.N.Tutubalin和M.G.Shur的文章中讨论了三维Lobachevsky空间或双曲空间中的布朗运动。本文给出了三维双曲空间中径向对称扩散方程的一个解。然而，它的推导没有明确显示。因此，扩散方程的解析求解与初始条件对应的非零空间变量在初始阶段。
英文摘要：
Brownian motion in the three dimensional Lobachevsky space or hyperbolic space is considered in the paper written by F.I.Karpelevich, V.N.Tutubalin and M.G.Shur. A solution for radial symmetric diffusion equation in the three dimensional hyperbolic space is given in that paper. However, derivation of it is not explicitly shown. Therefore, the diffusion equation is solved analytically with an initial condition corresponding to non-zero space variable at the initial stage.
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