Infinitely divisible distribution functions of class L and the Lee-Yang theorem |
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Authors: | Joël De Coninck |
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Institution: | (1) Université de l'Etat, Faculté des Sciences, B-7000 Mons, Belgium |
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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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