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A remark on different norms and analyticity for many-particle interactions

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Abstract

We compare a recent result of Dobrushin and Martirosyan with previous results by Gallavotti and Miracle-Sole and by Israel and point out that the analytic behavior at high temperatures for many-particle interactions is different depending on whether the interactions are weighted with a lattice-gas or Ising norm or, on the other hand, with the supremum norm.

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Authors and Affiliations

  1. Department of Mathematics, University of Texas at Austin, 78712, Austin, Texas

    A. C. D. van Enter & R. Fernández

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  1. A. C. D. van Enter
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  2. R. Fernández
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van Enter, A.C.D., Fernández, R. A remark on different norms and analyticity for many-particle interactions. J Stat Phys 56, 965–972 (1989). https://doi.org/10.1007/BF01016790

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