Group Analysis of Classical Lattice Systems

Group Analysis of Classical Lattice Systems

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Definitions and group structure.- The duality transformation.- Duality relation for the correlation functions.- Phase transitions with spontaneous symmetry breakdown. Ergodic decomposition.- Series and cluster expansion an application of universality hypothesis a ¿generalized¿ droplet-model.- The partial trace transformation. Equation for the correlation functions and representation of the symmetry group.- Invariant equilibrium states and duality transformation for infinite systems.- Asano contraction and group structure. Analyticity properties of the free energy.- Analyticity and uniqueness...