Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates
Probability
2014-07-01 v1
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 \geq 3, at least if the strength of pinning is sufficiently large.
Keywords
Cite
@article{arxiv.1406.7766,
title = {Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates},
author = {Erwin Bolthausen and Taizo Chiyonobu and Tadahisa Funaki},
journal= {arXiv preprint arXiv:1406.7766},
year = {2014}
}