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Entropy 2004, 6(1), 180-215; doi:10.3390/e6010180
Article

Markov Property and Operads

1,2
Received: 12 September 2003; Accepted: 10 December 2003 / Published: 31 March 2004
(This article belongs to the Special Issue Quantum Limits to the Second Law of Thermodynamics)
Download PDF [254 KB, uploaded 16 September 2008]
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.
Keywords: random fields; stochastic integrals; W.Z.N.W. model; operads random fields; stochastic integrals; W.Z.N.W. model; operads
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Léandre, R. Markov Property and Operads. Entropy 2004, 6, 180-215.

AMA Style

Léandre R. Markov Property and Operads. Entropy. 2004; 6(1):180-215.

Chicago/Turabian Style

Léandre, Rémi. 2004. "Markov Property and Operads." Entropy 6, no. 1: 180-215.


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