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Convergence of transport processes with radially symmetric direction changes, and chain molecules

Published online by Cambridge University Press:  14 July 2016

Luis G. Gorostiza
Luis G. Gorostiza*
Affiliation:
Centro de Investigación del IPN, México D. F.
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Abstract

When passing from two to more dimensions, the study of non-isotropic scattering transport processes, and chain molecules, which are both covered by the same mathematical model, becomes affected by the non-commutativity of rotations. The techniques developed in [2], together with results on radially symmetric direction changes, are used in this paper to obtain a functional central limit theorem for those random processes, with a suitable normalization, the limit being a Brownian motion process which is completely identified.

Keywords

WEAK CONVERGENCEBROWNIAN MOTIONTRANSPORT PROCESSCHAIN MOLECULEEYRING FORMULA
Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 4 , December 1975 , pp. 812 - 816
Copyright
Copyright © Applied Probability Trust 1975 

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References

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