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The density of states () of an N real, symmetric, random matrix with elements 0, 1 is calculated in the limit N as a function of the average ``connectivity'' p, i. e. , of the mean number of nonzero elements per row. For p, the Wigner semicircular distribution is recovered. For finite p the distribution has tails extending beyond the semicircle, with for ^2. Applications to the theory of ``Griffiths singularities'' in dilute magnets are discussed.
Rodgers et al. (Tue,) studied this question.