BooksStandalone TitlesCollected Volumepp. 47–71

Comparison of Ising models under change of a priori measure

  • José Madrid

    University of California Los Angeles, USA
Comparison of Ising models under change of a priori measure cover

A subscription is required to access this book chapter.

Abstract

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 One purpose of this note is to publicize some unpublished 45 year old work of Daniel Wells on the issue.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 D{D}-vectors uniformly distributed on the unit sphere and also the case of spin S{S} (2S+1{2S+1} equally spaced values symmetric about 0{0} and with equal weights) that improves some 50 year old bounds of Griffiths on transition temperatures.