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
67
4
DOI
出版ステータスPublished - 2015
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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