Large deviations for the chemical distance in supercritical Bernoulli percolation
نویسنده
چکیده
The chemical distance D(x, y) is the length of the shortest open path between two points x and y in an infinite Bernoulli percolation cluster. In this work, we study the asymptotic behaviour of this random metric, and we prove that, for an appropriate norm μ depending on the dimension and the percolation parameter, the probability of the event
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Large deviations for simple random walk on percolations with long-range correlations
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