Communications in Mathematical Physics

, Volume 330, Issue 2, pp 801–817 | Cite as

Multispecies Virial Expansions

  • Sabine Jansen
  • Stephen J. Tate
  • Dimitrios Tsagkarogiannis
  • Daniel UeltschiEmail author


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.


Connected Graph Formal Power Series Colour Graph Cluster Expansion Articulation Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Sabine Jansen
    • 1
  • Stephen J. Tate
    • 2
  • Dimitrios Tsagkarogiannis
    • 3
  • Daniel Ueltschi
    • 2
    Email author
  1. 1.Leiden UniversityLeidenThe Netherlands
  2. 2.Department of MathematicsUniversity of WarwickCoventryUK
  3. 3.Department of Applied MathematicsUniversity of CreteHeraklionGreece

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