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Infinitely divisible distribution functions of class L and the Lee-Yang theorem

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Abstract

It is shown that the free-energy density of a large class of ferromagnets satisfying the Lee-Yang property is to be connected with the limit characteristic function of a suitably renormalized sum of independent and non-identically distributed random variables. Using the canonical representation formulae of such characteristic functions, various chains of inequalities are derived for the Ursell functions.

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Communicated by J. Fröhlich

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De Coninck, J. Infinitely divisible distribution functions of class L and the Lee-Yang theorem. Commun.Math. Phys. 96, 373–385 (1984). https://doi.org/10.1007/BF01214582

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