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We consider continuous time interlacements on ℂ d , d ≥ 3, and investigate the scaling limit of their occupation times. In a suitable regime, referred to as the constant intensity regime, this brings Brownian interlacements on ℝ d into play, whereas in the high intensity regime the Gaussian free field shows up instead. We also investigate the scaling limit of the isomorphism theorem of [40]. As a by-product, when d = 3, we obtain an isomorphism theorem for Brownian interlacements.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Dec 14, 2013
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