# Analyticity for classical gasses via recursion

@article{Michelen2020AnalyticityFC, title={Analyticity for classical gasses via recursion}, author={Marcus Michelen and Will Perkins}, journal={arXiv: Mathematical Physics}, year={2020} }

We give a new criterion for a classical gas with a repulsive pair potential to exhibit uniqueness of the infinite volume Gibbs measure and analyticity of the pressure. Our improvement on the bound for analyticity is by a factor $e^2$ over the classical cluster expansion approach and a factor $e$ over the known limit of cluster expansion convergence. The criterion is based on a contractive property of a recursive computation of the density of a point process. The key ingredients in our proofs…

#### 7 Citations

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