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Bolthausen, E; Deuschel, J-D; Giacomin, G (2001). Entropic repulsion and the maximum of the two-dimensional harmonic crystal. The Annals of Probability, 29(4):1670-1692.
We consider the lattice version of the free field in two dimensions (also called harmonic crystal). The main aim of the paper is to discuss quantitatively the entropic repulsion of the random surface in the presence of a hard wall. The basic ingredient of the proof is the analysis of the maximum of the field which requires a multiscale analysis reducing the problem essentially to a problem on a field with a tree structure.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Uncontrolled Keywords: | Free field, effective interface models, entropic repulsion, large deviations, extrema of Gaussian fields, multiscale decomposition |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 27 Apr 2010 11:31 |
| Last Modified: | 03 Sep 2024 01:37 |
| Publisher: | Institute of Mathematical Statistics |
| ISSN: | 0091-1798 |
| Additional Information: | © Institute of Mathematical Statistics |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1214/aop/1015345767 |
Bolthausen, E