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A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics / by P. Collet, J.-P. Eckmann.

Lecture Notes in Physics 1969-2012 Archive Available online

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Format:
Book
Author/Creator:
Collet, P., Author.
Eckmann, Jean Pierre, Author.
Series:
Lecture Notes in Physics, 0075-8450 ; 74
Language:
English
Subjects (All):
Physics.
Physics, general.
Local Subjects:
Physics, general.
Physical Description:
1 online resource (III, 202 p.)
Edition:
1st ed. 1978.
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1978.
Contents:
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.
ISBN:
3-540-35899-4

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