The symmetry of diffusions and the circulations of their projection processes (Q1286692)
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scientific article; zbMATH DE number 1281445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The symmetry of diffusions and the circulations of their projection processes |
scientific article; zbMATH DE number 1281445 |
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The symmetry of diffusions and the circulations of their projection processes (English)
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29 September 1999
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The authors define by probabilistic means the projection process along a simple closed smooth curve of a nonexplosive diffusion process on a complete Riemannian manifold. The winding numbers of the projection process are clockwise and counterclockwise given. The symmetry of the diffusion process is shown to be equivalent to that for any closed smooth curve, the long time average winding numbers of the projection process in two different directions are equal.
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nonexplosive diffusion process
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Riemannian manifold
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projection process
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0.7500123977661133
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0.7334392070770264
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0.7111932635307312
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