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

• Bolthausen Erwin

  Institut für Mathematik, Universität Zürich

• Chiyonobu Taizo

  Department of Mathematics, Kwansei-Gakuin University

• Funaki Tadahisa

  Graduate School of Mathematical Sciences, The University of Tokyo

Abstract

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.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 67 (4), 1359-1412, 2015

  The Mathematical Society of Japan

Keywords

• Gaussian field
• interface model
• pinning
• scaling limit
• large deviation
• minimizers

Details

• CRID: 1390001205115293184
• NII Article ID: 130005108946
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/06741359
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 026817478
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026817478
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed