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arXiv · 1209.4531

On scaling limits and Brownian interlacements

Alain-Sol Sznitman
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Abstract

We consider continuous time interlacements on Z^d, with d bigger or equal to 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 arXiv:1111.4818. As a by-product, when d=3, we obtain an isomorphism theorem for Brownian interlacements.

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Alain-Sol Sznitman. 2012-09-20. On scaling limits and Brownian interlacements. https://doi.org/10.1007/s00574-013-0025-7

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