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

Erwin Bolthausen, Taizo Chiyonobu, Tadahisa Funaki

Research output: Contribution to journalArticle


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.

Original languageEnglish
Pages (from-to)1359-1412
Number of pages54
JournalJournal of the Mathematical Society of Japan
Issue number4
Publication statusPublished - 2015
Externally publishedYes



  • Gaussian field
  • Interface model
  • Large deviation
  • Minimizers
  • Pinning
  • Scaling limit

ASJC Scopus subject areas

  • Mathematics(all)

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