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Confinement of the Two Dimensional Discrete Gaussian Free Field Between Two Hard Walls

   
@article{EJP711,
	author = {Hironobu Sakagawa},
	title = {Confinement of the Two Dimensional Discrete Gaussian Free Field Between Two Hard Walls},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {Gaussian field; hard wall; random interface; mass; random walk representation},
	abstract = {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].},
	pages = {no. 79, 2310-2327},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-711},    
        url = {http://ejp.ejpecp.org/article/view/711}}