96-94 Jozsef Lorinczi

Quasilocality of projected Gibbs measures through analyticity techniques (258K, postscript) Mar 25, 96

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Abstract. We present two examples of projections of Gibbs measures. In the first example we prove high-temperature complete analyticity for the q-state Potts model. As a consequence we obtain complete analyticity also for the decimated Potts model. In the second example we prove quasilocality of the projections to the line of the states of the 2D standard Ising system in the whole uniqueness region, and indicate why non-Gibbsianness can be expected to occur for higher dimensions.

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