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math.PR2023
Uniqueness and tube property for the Swiss cheese large deviations
Julien Poisat, Dirk Erhard
We consider the simple random walk on the Euclidean lattice, in three dimensions and higher, conditioned to visit fewer sites than expected, when the deviation from the mean scales…
math.PR2023
Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology
Dirk Erhard, Julien Poisat
In this paper we introduce a topology under which the pair empirical measure of a large class of random walks satisfies a strong Large Deviation principle. The definition of the to…