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math.PR2018
Deviations for the Capacity of the Range of a Random Walk
Amine Asselah, Bruno Schapira
We obtain estimates for large and moderate deviations for the capacity of the range of a random walk on , in dimension , both in the upward and downward direc…
math.PR2018
On the nature of the Swiss cheese in dimension 3
Amine Asselah, Bruno Schapira
We study scenarii linked with the Swiss cheese picture in dimension three obtained when two random walks are forced to meet often, or when one random walk is forced to squeeze its…