Comparison of Ising models under change of a priori measure
José MadridUniversity of California Los Angeles, USA
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We study comparison of correlation functions for ferromagnetic generalized Ising models with two different a priori measures. One purpose of this note is to publicize some unpublished 45 year old work of Daniel Wells on the issue. We then prove results for the a priori measures associated to one component of -vectors uniformly distributed on the unit sphere and also the case of spin ( equally spaced values symmetric about and with equal weights) that improves some 50 year old bounds of Griffiths on transition temperatures.