Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates

Erwin Bolthausen; Taizo Chiyonobu; Tadahisa Funaki

doi:10.2969/jmsj/06741359

Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates

Erwin Bolthausen, Taizo Chiyonobu, Tadahisa Funaki

研究成果: Article › 査読

抄録

We study the scaling limit and prove the law of large numbers for weakly pinned Gaussian random fields under the critical situation that two possible candidates of the limits exist at the level of large deviation principle. This paper extends the results of [3], [7] for one dimensional fields to higher dimensions: d ≥ 3, at least if the strength of pinning is sufficiently large.

本文言語	English
ページ（範囲）	1359-1412
ページ数	54
ジャーナル	Journal of the Mathematical Society of Japan
巻	67
号	4
DOI	https://doi.org/10.2969/jmsj/06741359
出版ステータス	Published - 2015
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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10.2969/jmsj/06741359

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Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates

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