Multispecies Virial Expansions

@article{Jansen2014MultispeciesVE,
  title={Multispecies Virial Expansions},
  author={Sabine Jansen and Stephen Tate and Dimitrios K. Tsagkarogiannis and Daniel Ueltschi},
  journal={Communications in Mathematical Physics},
  year={2014},
  volume={330},
  pages={801-817}
}
We study the virial expansion of mixtures of countably many different types of particles. The main tool is the Lagrange–Good inversion formula, which has other applications such as counting coloured trees or studying probability generating functions in multi-type branching processes. We prove that the virial expansion converges absolutely in a domain of small densities. In addition, we establish that the virial coefficients can be expressed in terms of two-connected graphs. 
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