Stochastic geodesic equations on Riemannian manifolds
博士 === 國立中正大學 === 應用數學研究所 === 92 === In this thesis, we introduce the Ito stochastic differential equation on Euclidean space. And we find the local from of the transition-type stochastic differential equation on Riemannian manifold. Moreover, we discuss s...
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| Format: | Others |
| Language: | en_US |
| Published: |
2004
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| Online Access: | http://ndltd.ncl.edu.tw/handle/16172455826814946585 |
| Summary: | 博士 === 國立中正大學 === 應用數學研究所 === 92 === In this thesis, we introduce the Ito stochastic differential
equation on Euclidean space. And we find the local from of the
transition-type stochastic differential equation on Riemannian
manifold. Moreover, we discuss some special cases about the Ito
Bundle of compact Riemannian manifolds and the stochastic geodesic equations on Riemannian manifolds.
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