Communications in Mathematical Physics

, Volume 62, Issue 1, pp 79–82 | Cite as

A lower bound for the mass of a random Gaussian lattice

  • David Brydges
  • Paul Federbush


We give a criterion that the two point function for a Gaussian lattice with random mass decay exponentially. The proof uses a random walk representation which may be of interest in other contexts.


Neural Network Statistical Physic Complex System Random Walk Nonlinear Dynamics 
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  1. 1.
    Lieb, E., Mattis, D.: Mathematical physics in one dimension, pp. 119–196. New York: Academic Press 1967Google Scholar
  2. 2.
    Fröhlich, J.: Phase transitions, Goldstone bosons, and topological superselection rules. Acta Phys. Austriaca, Suppl.XV, 133 (1976)Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • David Brydges
    • 1
  • Paul Federbush
    • 2
  1. 1.Rockefeller UniversityNew YorkUSA
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA

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