Next Article in Journal / Special Issue
On Expansion of a Spherical Enclosure Bathed in Zero-Point Radiation
Previous Article in Journal / Special Issue
A New Thermodynamics from Nuclei to Stars
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)
Download PDF [254 KB, uploaded 24 February 2015]


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 (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Share & Cite This Article

Further Mendeley | CiteULike
Export to BibTeX |
MDPI and ACS Style

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

View more citation formats

Related Articles

Article Metrics

For more information on the journal, click here


Cited By

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert