TY - BOOK AU - Collet,Pierre AU - Eckmann,Jean-Pierre ED - SpringerLink (Online service) TI - A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics T2 - Lecture Notes in Physics, SN - 9783540358992 AV - QC1-75 U1 - 530 23 PY - 1978/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Physics KW - Physics, general N1 - 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 ΓΈ? -- 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 UR - http://dx.doi.org/10.1007/BFb0017107 ER -