- Journal Article
Rights / licenseIn Copyright - Non-Commercial Use Permitted
We derive a large deviation principle for the density profile of occupation times of random interlacements at a fixed level in a large box of ℤd, d ≥ 3. As an application, we analyze the asymptotic behavior of the probability that atypically high values of the density profile insulate a macroscopic body in a large box. As a step in this program, we obtain a similar large deviation principle for the occupation-time measure of Brownian interlacements at a fixed level in a large box of ℝd, and we derive a new identity for the Laplace transform of the occupation-time measure, which is based on the analysis of certain Schrödinger semi-groups. Show more
Journal / seriesProbability Theory and Related Fields
Pages / Article No.
Organisational unit03320 - Sznitman, Alain-Sol (emeritus) / Sznitman, Alain-Sol (emeritus)
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