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Upper tails of self-intersection local times of random walks: survey of proof techniques

Upper tails of self-intersection local times of random walks: survey of proof techniques

The asymptotics of the probability that the self-intersection local time of a random walk on ℤ d exceeds its expectation by a large amount is a fascinating subject because of its relation to some models from Statistical Mechanics, to large-deviation theory and variational analysis and because of the variety of …