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Communications in Mathematical Physics

, Volume 45, Issue 3, pp 247–278 | Cite as

Critical indices for Dyson's asymptotically-hierarchical models

  • P. M. Bleher
  • Ya. G. Sinai
Article

Abstract

It is known that the investigation of the critical point for models of the type of Dyson's hierarchical models is reduced to the solution of some non-linear integral equation. In our previous publication the Gaussian solution was investigated. Here we construct non-Gaussian solutions of the equation and find the expressions for critical indices connected with them. Our procedure permits us to construct meaningful ε-expansions.

Keywords

Neural Network Statistical Physic Integral Equation Complex System 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 1975

Authors and Affiliations

  • P. M. Bleher
    • 1
  • Ya. G. Sinai
    • 1
  1. 1.Landau, Theoretical Physics InstituteMoscowURSS

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