van Enter A.-C.-D., Fern\'andez R., Schonmann R.-H., Shlosman S.-B.
Complete Analyticity of the Potts model above the critical temperature.
(76K, amstex)

ABSTRACT.  We investigate the complete analyticity of the two-dimensional q-state Potts
model for large values of q. We are able to prove it for every temperature
T > T_{cr}, provided we restrict ourselves to nice subsets, their niceness 
depending on the temperature T. Contrary to this restricted complete 
analyticity (RCA), the full CA is known to fail for some values of the 
temperature above T_{cr}(q).
   Our proof is based on Pirogov-Sinai theory and cluster expansions for the 
Fortuin-Kasteleyn representation, which are available for the Potts model at 
all temperatures, provided q is large enough.