- 99-172 N.Cancrini, F.Martinelli
- Comparison of finite volume canonical and grand canonical Gibbs measures under
a mixing condition
(136K, plain TeX)
May 14, 99
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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
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