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Riemannian manifolds with stochastic independence conditions are rich enough

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1299))

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References

  1. A. Gray and T. J. Willmore: Mean-value theorems for Riemannian manifolds, Proc. Roy. Soc. Edinburgh, 92A(1982), 343–364.

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  2. O. Kowalski: ‘The second mean-value operator on Riemannian manifolds', in Proceedings of the CSSR-GDR-Polish Conference on Differential Geometry and its Applications, Nove Mesto 1980, pp. 33–45, Universita Karlova Praha, 1982.

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  3. M. Kôzaki and Y. Ogura: On geometric and stochastic mean values for small geodesic spheres in Riemannian manifolds, to appear in Tsukuba J. Math. (1987).

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  4. M. Kôzaki and Y. Ogura: On the independence of exit time and exit position from small geodesic balls for Brownian motions on Riemannian manifolds, preprint.

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  5. M. Liao: Hitting distributions of geodesic spheres by Riemannian Brownian motion, preprint.

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  6. M. Pinsky: Moyenne stochastique sur une variété riemannienne. C. R. Acad. Sci. Paris, Série I 292, 991–994 (1981).

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  7. M. Pinsky: Independence implies Einstein metric, preprint.

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Shinzo Watanabe Jurii Vasilievich Prokhorov

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© 1988 Springer-Verlag

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Kôzaki, M., Ogura, Y. (1988). Riemannian manifolds with stochastic independence conditions are rich enough. In: Watanabe, S., Prokhorov, J.V. (eds) Probability Theory and Mathematical Statistics. Lecture Notes in Mathematics, vol 1299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078475

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  • DOI: https://doi.org/10.1007/BFb0078475

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18814-8

  • Online ISBN: 978-3-540-48187-4

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