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Titlebook: Stochastic Processes on a Lattice and Gibbs Measures; Bernard Prum,Jean Claude Fort Book Aug 2013Latest edition Springer Science+Business

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Phase Transition 3: Reflexive Positivity,An alternative approach to that of Pirogov and Sinai also provides very precise results. In order to describe it we must formulate the problem somewhat differently
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Statistics and Applications,250. Gibbs measures play a rôle in at least two types of statistical problems:
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Continuous Symmetry and Other Methods,sphere —, to a brief discussion of two other approaches among the many that have been created to treat the problem of phase transition, especially upon a lattice. The methods to be presented here, that of Onsager, §4, and the combinatorial method, §5, have played important roles in the historical developement of the discipline and remain useful
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0921-3767 cal example upon which the theory offered in this book is based is that of magnetization as it is described by the Ising model. At the vertices of a regular lattice of sites, atoms "choos e" an orientation under the influence of the orientations of the neighboring atoms. But other examples are known
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