抄録
We consider the two dimensional discrete Gaussian free field confined between two hard walls. We show that the field becomes massive and identify the precise asymptotic behavior of the mass and the variance of the field as the height of the wall goes to infinity. By large fluctuation of the field, asymptotic behaviors of these quantities in the two dimensional case differ greatly from those of the higher dimensional case studied by [14].
| 本文言語 | English |
|---|---|
| ページ（範囲） | 2310-2327 |
| ページ数 | 18 |
| ジャーナル | Electronic Journal of Probability |
| 巻 | 14 |
| DOI | |
| 出版ステータス | Published - 2009 1月 1 |
ASJC Scopus subject areas
- 統計学および確率
- 統計学、確率および不確実性