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math.PR2012
Elementary Proofs of the Main Limit Theorems of Probability
Nicholas Pippenger
We give simple proofs, under minimal hypotheses, of the Weak Law of Large Numbers and the Central Limit Theorem for independent identically distributed random variables. These proo…
math.PR2012
Fault Tolerance in Cellular Automata at Low Fault Rates
Mark McCann, Nicholas Pippenger
A commonly used model for fault-tolerant computation is that of cellular automata. The essential difficulty of fault-tolerant computation is present in the special case of simply r…