Moderate deviations for the range of a transient random walk: path concentration.
Résumé
We study downward deviations of the boundary of the range
of a transient walk on the Euclidean lattice. We describe
the optimal strategy adopted by the walk in order to
shrink the boundary of its range. The technics we develop
apply equally well to the range, and provide pathwise statements for
the {\it Swiss cheese} picture of Bolthausen, van den Berg and
den Hollander \cite{BBH}.
Origine : Fichiers produits par l'(les) auteur(s)
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