| Título: | Confinement of the Two Dimensional Discrete Gaussian Free Field Between Two Hard Walls |
| Autores: | Sakagawa, Hironobu; Keio University |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Gaussian field; hard wall; random interface; mass; random walk representation 60K35; 82A41; 82B24 |
| Descripción: | 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 [S07]. |
| Idioma: | No aplica |
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