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Markov Property and Operads

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Author(s): Rémi Léandre

Journal: Entropy
ISSN 1099-4300

Volume: 6;
Issue: 1;
Start page: 180;
Date: 2004;
Original page

Keywords: random fields | stochastic integrals | W.Z.N.W. model | operads

ABSTRACT
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.

Tango Jona
Tangokurs Rapperswil-Jona

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