The blowing-up lemma says that if the probability with respect to a product measure of a set finite, large) is not exponentially small, then its -neighborhood has probability almost one for some . Here an information-theoretic proof of the blowing-up lemma, generalizing it to continuous alphabets, is given.
Keywords :
Information theory; Arithmetic; Bridges; Error correction codes; Extraterrestrial measurements; Hamming distance; Information theory; Q measurement; Random variables; Welding;