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Dec 13, 2010 at 3:42 comment added Mike Spivey My favorite example of this is the use of the replica method by Mezard and Parisi in the mid-1980s to "prove" that the expected optimal value of the assignment problem (with costs chosen randomly from the uniform [0,1] distribution) is $\zeta(2) = \pi^2/6$. It wasn't until 2000 that Aldous published a rigorous proof.
Dec 13, 2010 at 3:33 history answered Peter Shor CC BY-SA 2.5