Markov property and operads (Q1769746)
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scientific article; zbMATH DE number 2148951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Markov property and operads |
scientific article; zbMATH DE number 2148951 |
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Markov property and operads (English)
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22 March 2005
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Summary: We define heat kernel measure on punctured spheres. The random field which is got by this procedure is not Gaussian. We define a stochastic line bundle on the loop space, such that the punctured sphere corresponds to a generalized parallel transport on this line bundle. Markov property along the sewing loops corresponds to an operadic structure of the stochastic W.Z.N.W. model.
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random fields
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stochastic integrals
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operads
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