Random quantal fields and maximum entropy principle / Maciej M. Duras // W: Noise in Complex Systems and Stochastic Dynamics III : SPIE Third International Symposium on Fluctuations and Noise, 24-26 May ... więcej

Random quantal fields and maximum entropy principle / Maciej M. Duras // W: Noise in Complex Systems and Stochastic Dynamics III : SPIE Third International Symposium on Fluctuations and Noise, 24-26 May 2005, Austin, Texas, United States [Dokument elektroniczny] / ed. by Laszlo B. Kish, Katja Lindenberg, Zoltán Gingl. – Bellingham : SPIE, 2005. – (Proceedings of SPIE, ISSN 1996-756X ; 5845). – S. 193-200. – Tryb dostępu: https://www.spiedigitallibrary.org/conference-proceedings-of-spie/5845/0000/Random-quantal-fields-and-maximum-entropy-principle/10.1117/12.609473.short. – Bibliogr. 33 poz., Abstr. – doi: 10.1117/12.609473

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 ... więcej

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.