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Recursions and tightness for the maximum of the discrete, two dimensional Gaussian Free Field

   
@article{ECP1610,
	author = {Erwin Bolthausen and Jean-Dominique Deuschel and Ofer Zeitouni},
	title = {Recursions and tightness for the maximum of the discrete, two dimensional Gaussian Free Field},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {16},
	year = {2011},
	keywords = {Gaussian free field. Recursions.},
	abstract = {We consider the maximum of the discrete two dimensional  	Gaussian free field in a box, and prove the existence of 	a (dense) deterministic subsequence along which  	the maximum, centered at its mean, is tight. 	The method of proof relies on an argument developed by Dekking and Host 	for branching random 	walks with bounded increments and on comparison results  	specific to Gaussian fields.},
	pages = {no. 11, 114-119},
	issn = {1083-589X},
	doi = {10.1214/ECP.v16-1610},    
        url = {http://ecp.ejpecp.org/article/view/1610}}