@article{EJP3732,
author = {Jeffrey Kuan},
title = {The Gaussian free field in interlacing particle systems},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
keywords = {Gaussian free field, determinantal point process, interlacing particles},
abstract = {We show that if an interlacing particle system in a two-dimensional lattice is a determinantal point process, and the correlation kernel can be expressed as a double integral with certain technical assumptions, then the moments of the fluctuations of the height function converge to that of the Gaussian free field. In particular, this shows that a previously studied random surface growth model with a reflecting wall has Gaussian free field fluctuations.},
pages = {no. 71, 1-31},
issn = {1083-6489},
doi = {10.1214/EJP.v19-3732},
url = {http://ejp.ejpecp.org/article/view/3732}}