Abstract
Upper and lower bounds for Tc(p) are rigorously established for the Ising model with random, quenched, broken-bond disorder. Tc is the critical temperature, defined by the onset of a non-zero spontaneous magnetization, and p is the fraction of unbroken bonds. Bounds are also found for other quantities, such as the two-point correlation functions. These bounds may be applied at any temperature and any value of p with 0 pc and pc is the lowest value of p above which the system has a non-zero spontaneous magnetization at T=O.
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