Links between decay properties of correlations and analyticity of the pressure and correlation functions
I will present here some results obtained in collaboration with Michel Duneau and Daniel Iagolnitzer.
Rigorous results on “strong clustering” of the correlations are indicated here and precise links between decay properties of correlations and analyticity properties of the pressure and correlation functions are exhibited.
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- a.Duneau, M., Iagolnitzer, D., and Souillard, B., Decay of correlations for infinite-range interactions, to be published in J. Math. Phys.(1975).Google Scholar
- This method has first been used in ref. ,  and has been adapted in ref.  to the proof of S.C.P.Google Scholar
- Ref.  and Duneau, M., Souillard, B., to be published.Google Scholar