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Stochastic motions on the 3-sphere governed by wave and heat equations
Published online by Cambridge University Press: 14 July 2016
Abstract
In this paper a random motion on the surface of the 3-sphere whose probability law is a solution of the telegraph equation in spherical coordinates is presented. The connection of equations governing the random motion with Maxwell equations is examined together with some qualitative features of its sample paths. Finally Brownian motion on the 3-sphere is derived as the limiting process of a random walk with latitude-changing probabilities.
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- Copyright © Applied Probability Trust 1987
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