Random quantal fields and maximum entropy principle

Maciej M. Duras

doi:10.1117/12.609473

23 May 2005 Random quantal fields and maximum entropy principle

Maciej M. Duras

Proceedings Volume 5845, Noise in Complex Systems and Stochastic Dynamics III; (2005) https://doi.org/10.1117/12.609473
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

In the present article we extend the Random Matrix Theory to the theory of matrix-valued random fields. We derive the "equilibrium" probability distribution and "equilibrium" ensembles of matrix-valued random fields applying Maximum Entropy Principle. The inferred "equilibrium" probability density functionals are applied to Euclidean Quantum Field Theory and to the theory of two-dimensional Euclidean quantum gravity.

Citation Download Citation

Maciej M. Duras "Random quantal fields and maximum entropy principle", Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); https://doi.org/10.1117/12.609473

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