Markov Property and Operads

نویسنده

  • Rémi Léandre
چکیده

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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عنوان ژورنال:
  • Entropy

دوره 6  شماره 

صفحات  -

تاریخ انتشار 2004