%0 Journal Article
%T Fluctuations of recentered maxima of discrete Gaussian Free Fields on a class of recurrent graphs
%A Takashi Kumagai
%A Ofer Zeitouni
%J Mathematics
%D 2013
%I arXiv
%X We provide conditions that ensure that the recentered maximum of the Gaussian free field on a sequence of graphs fluctuates at the same order as the field at the point of maximal variance. In particular, on a sequence of such graphs the recentered maximum is not tight, similarly to the situation in Z but in contrast with the situation in Z^2. We show that our conditions cover a large class of "fractal" graphs.
%U http://arxiv.org/abs/1302.2135v1