Markov Property and Operads
Copyright policy )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 sewing loops corresponds to an operadic structure of the stochastic W.Z.N.W. model.
- Aarhus University Denmark
- UNIVERSITE DE NANCY II France
Diffusion processes and stochastic analysis on manifolds, Science, Physics, QC1-999, Q, Astrophysics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, stochastic integrals, QB460-466, operads, Loop space machines and operads in algebraic topology, Stochastic methods applied to problems in equilibrium statistical mechanics, random fields, Random fields, W.Z.N.W. model
Diffusion processes and stochastic analysis on manifolds, Science, Physics, QC1-999, Q, Astrophysics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, stochastic integrals, QB460-466, operads, Loop space machines and operads in algebraic topology, Stochastic methods applied to problems in equilibrium statistical mechanics, random fields, Random fields, W.Z.N.W. model
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