N.Cancrini, F.Martinelli
 Comparison of finite volume canonical and grand canonical Gibbs measures under 
 a mixing condition
(136K, plain TeX)

ABSTRACT.  We envisage a simple approach 
to prove sharp bounds between the finite volume (multi) canonical 
and (multi) grand canonical expectation of local observables of 
a lattice discrete spin model 
by assuming a mixing property for the Gibbsian specifications. 
We then apply our results to various situations including 
mean field perturbations of the Ising model. 
Our method does not rely upon a local limit theorem and 
applies also to the dilute Ising model in the Griffiths phase for which 
the mixing condition fails