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Entropy 2004, 6(1), 180-215; doi:10.3390/e6010180
Markov Property and Operads
1 Maphysto, Department of Mathematical Sciences, University of Aarhus, Denmark 2 Institut Elie Cartan, Faculté des Sciences, Université Henri Poincaré 54000, Vandoeuvre-les-Nancy, France
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)
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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
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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.