Markov Property and Operads
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 sew...
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| Format: | Article |
| Language: | English |
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MDPI AG
2004-03-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/6/1/180/ |
| 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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| ISSN: | 1099-4300 |