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 |
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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 | |
出版ステータス | Published - 2015 |
外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)