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. Â© 2014 The Author(s).
|Titolo:||Multispecies Virial Expansions|
|Data di pubblicazione:||2014|
|Appare nelle tipologie:||1.1 Articolo in rivista|