Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups (Q1911572)
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scientific article; zbMATH DE number 871815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups |
scientific article; zbMATH DE number 871815 |
Statements
Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups (English)
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2 December 1996
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A dichotomy between the equivalence and the singularity for the Wiener measure on path groups and loop groups under their group transformations is given. The dichotomy is shown by a simple proof of the ergodicity for the Wiener measures on path groups and loop groups under the actions of finite paths and loops.
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equivalence
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singularity
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Wiener measure
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path groups
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loop groups
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ergodicity
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