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Communications in Mathematical Physics

, Volume 138, Issue 3, pp 537–568 | Cite as

On the renormalization group transformation for scalar hierarchical models

  • Hans Koch
  • Peter Wittwer
Article

Abstract

We give a new proof for the existence of a non-Gaussian hierarchical renormalization group fixed point, using what could be called a beta-function for this problem. We also discuss the asymptotic behavior of this fixed point, and the connection between the hierarchical models of Dyson and Gallavotti.

Keywords

Neural Network Statistical Physic Complex System Asymptotic Behavior Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Hans Koch
    • 1
  • Peter Wittwer
    • 2
  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA
  2. 2.Département de Physique ThéoriqueUniversité de GenèveGenève 4Switzerland

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