Articoli correlati a A Renormalization Group Analysis of the Hierarchical...

A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics - Brossura

Collet, P.; Eckmann, J.-P.

 
9783662210307: A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics

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Sinossi

Probabilistic formulation of the problem.- The RG-transformation for the hierarchical model.- The existence of a non-trivial fixed point.- The flow around the fixed point.- Discussion of the critical indices.- Global properties of the flow.- Discussion of the thermodyamic limit.- Perturbation theory.- Explicit perturbation calculation for the Eigenvalue ?2.- Linear problems and the existence of ??.- Differentiability of ø?.- The normal form of the flow.- Crossover. Part 2.- Crossover, Part II. A) Single phase region.- Crossover Part II. B) Two phase region.- Miscellaneous short proofs.

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