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The Strong Gauss Lucas Theorem and Analyticity of Correlation Functions via the Lee-Yang Theorem

We provide a simple mechanism for going from Lee-Yang type theorems to analyticity of correlation functions by exploiting under appreciated inequalities of Newman. We also describe a Lee-Yang approach that recovers the consequences of a low density cluster expansion for spin S models without any combinatorics.

preprint2021arXivOpen access
Barry Simon
math.COmath-phmath.MP
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Barry Simon

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