The analyticity region of the hard sphere gas. Improved bounds

Abstract

We find an improved estimate of the radius of analyticity of the pressure of the hard-sphere gas in $d$ dimensions. The estimates are determined by the volume of multidimensional regions that can be numerically computed. For $d=2$, for instance, our estimate is about 40% larger than the classical one.

arXiv comment4 pages, to appear in Journal of Statistical Physics

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