高强度散粒噪声场临界能级的渐近性和强不变性原理

IF 1.5 Q2 PHYSICS, MATHEMATICAL
R. Lachièze-Rey, S. Muirhead
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引用次数: 1

摘要

研究了具有相同协方差结构的高强度散粒噪声场向高斯场收敛的精细性质。特别是,我们(i)建立了强不变性原理,即高强度散粒噪声场和高斯极限之间的定量耦合,使它们在大域上以高概率均匀接近,并且(ii)利用这一点推导出散粒噪声场偏移集渗透的临界水平的渐近展开式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Asymptotics for the critical level and a strong invariance principle for high intensity shot noise fields
We study fine properties of the convergence of a high intensity shot noise field towards the Gaussian field with the same covariance structure. In particular we (i) establish a strong invariance principle, i.e. a quantitative coupling between a high intensity shot noise field and the Gaussian limit such that they are uniformly close on large domains with high probability, and (ii) use this to derive an asymptotic expansion for the critical level above which the excursion sets of the shot noise field percolate.
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来源期刊
CiteScore
2.30
自引率
0.00%
发文量
16
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