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Entropy 2005, 7(1), 1-14; doi:10.3390/e7010001

Lagrangian submanifolds generated by the Maximum Entropy principle

Dipartimento di Matematica Pura ed Applicata, Università di Padova, via Belzoni, 7 -- 35131 Padova, Italy
Received: 25 October 2004 / Accepted: 12 January 2005 / Published: 12 January 2005
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Abstract

We show that the Maximum Entropy principle (E.T. Jaynes, [8]) has a natural description in terms of Morse Families of a Lagrangian submanifold. This geometric approach becomes useful when dealing with the M.E.P. with nonlinear constraints. Examples are presented using the Ising and Potts models of a ferromagnetic material.
Keywords: symplectic geometry; maximum entropy principle; thermodynamics of mechanical systems; Ising and Potts models symplectic geometry; maximum entropy principle; thermodynamics of mechanical systems; Ising and Potts models
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Favretti, M. Lagrangian submanifolds generated by the Maximum Entropy principle. Entropy 2005, 7, 1-14.

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