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A note on the central limit theorem for geodesic random walks

Published online by Cambridge University Press:  17 April 2009

Gilles Blum
Gilles Blum
Affiliation:
Department of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106, USA.
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Abstract

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In this article we use a theorem of T.G. Kurtz to prove a central limit theorem for geodesic random walks.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 2 , October 1984 , pp. 169 - 173
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Jorgensen, Erik, “The central limit problem for geodesic random walks”, Z. Wahrsch. Verw. Gebiete 32 (1975), 1–64.CrossRefGoogle Scholar
[2]Pinsky, Mark, “Stochastic Riemannian geometry”, Probabilistic analysis and related topics, 199–236 (Academic Press, New York and London, 1978).CrossRefGoogle Scholar
[3]Kurtz, T.G., “Extensions of Trotter's operator semigroup approximation theorems”, J. Funct. Anal. 3 (1969), 111–132.CrossRefGoogle Scholar