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On scaling limits and Brownian interlacements

On scaling limits and Brownian interlacements 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

On scaling limits and Brownian interlacements

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References (56)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-013-0025-7
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Dec 14, 2013

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