**Authors**:
G.Gallavotti, S. Miracle-Sole'

**Title**:
*Correlation Functions of a Lattice System*

Communication in Mathematical Physics, ** 7**, 274--288, 1968

**Abstract:** We deduce an integral equation for
the infinite volume correlation functions of a class of lattice
systems and we apply it to find results on the analyticity in the
interaction potentials of the pressure and of the correlation
functions and on the ergodicity of the equilibrium states in the
gaseous phase. By similar methods we prove some cluster properties for
the correlation functions in the gaseous phase.

**Key words: **
Statistical Mechanics, Correlations, Cluster Property, Mayer
Expansion, Cluster Expansion, Virial Series,
Thermodynamic Limit, Lattice Gas

Giovanni Gallavotti

Fisica, Universita' di Roma 1

P.le Moro 2

00185 Roma, Italia

tel +39-06-4991-4370

fax +39-06-4957697

em: giovanni.gallavotti@roma1.infn.it

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