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

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

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MDPI and ACS Style

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

AMA Style

Favretti M. Lagrangian submanifolds generated by the Maximum Entropy principle. Entropy. 2005; 7(1):1-14.

Chicago/Turabian Style

Favretti, Marco. 2005. "Lagrangian submanifolds generated by the Maximum Entropy principle." Entropy 7, no. 1: 1-14.

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