On scaling limits and Brownian interlacements
On scaling limits and Brownian interlacements
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关于缩放极限和布朗交错
DOI：
10.1007/s00574-013-0025-7
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
A. Sznitman
中科院分区：
文献类型：
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作者：
A. Sznitman
我们考虑了d ≥ 3上的连续时间交错，并研究了它们的占据时间的标度极限。在合适的机制（称为恒定强度机制）中，这会使Wavelet上的布朗交错发挥作用，而在高强度机制中，则出现高斯自由场。我们还研究了[40]同构定理的标度极限。作为副产品，当d = 3时，我们得到了布朗交错的一个同构定理。
We consider continuous time interlacements on ℂd, 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 ℝd 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.