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Non-Gaussian scaling limits. Hierarchical model approximation

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Abstract

We extend a previous analysis of non-Gaussian fixed points of the block spin renormalization group in hierarchical models to a long distance analysis of the correlation functions.

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References

  1. K. Gawedzki and A. Kupiainen, Non-Gaussian fixed points of the block spin transformation. Hierarchical model approximation.Commun. Math. Phys. 89:191–120 (1983).

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  2. K. Gawedzki and A. Kupiainen, Lattice dipole gas and(▽ϕ)4 models at long distances: Decay of correlations and scaling limit. IHES preprint (1983).

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On leave from Department of Mathematical Methods of Physics, University, Warsaw.

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Gawedzki, K., Kupiainen, A. Non-Gaussian scaling limits. Hierarchical model approximation. J Stat Phys 35, 267–284 (1984). https://doi.org/10.1007/BF01014384

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  • DOI: https://doi.org/10.1007/BF01014384

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