Abstract
For classical gases of particles interacting through nonnegative, many-body interactions of short range it is verified that the corresponding grand canonical Gibbs measures have the global Markov property for sufficiently low values of the chemical activity. This yields the existence of a (nonsymmetric in general) transfer matrix formalism for such systems.
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Gielerak, R. Existence of the transfer matrix formalism for a class of classical continuous gases. J Stat Phys 55, 183–201 (1989). https://doi.org/10.1007/BF01042597
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DOI: https://doi.org/10.1007/BF01042597